23.526 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: Extracting # 3 : cost 0 0.047 * * [simplify]: Extracting # 4 : cost 0 0.047 * * [simplify]: Extracting # 5 : cost 0 0.047 * * [simplify]: Extracting # 6 : cost 0 0.047 * * [simplify]: Extracting # 7 : cost 0 0.047 * * [simplify]: iteration 0 : 15 enodes (cost 21 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: iteration 1 : 31 enodes (cost 21 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 2 : 90 enodes (cost 21 ) 0.118 * * [simplify]: Extracting # 0 : cost 0 0.118 * * [simplify]: Extracting # 1 : cost 0 0.119 * * [simplify]: Extracting # 2 : cost 0 0.119 * * [simplify]: iteration 3 : 384 enodes (cost 21 ) 0.521 * * [simplify]: Extracting # 0 : cost 0 0.525 * * [simplify]: Extracting # 1 : cost 0 0.529 * * [simplify]: Extracting # 2 : cost 0 0.532 * * [simplify]: iteration 4 : 1663 enodes (cost 21 ) 2.707 * * [simplify]: Extracting # 0 : cost 0 2.717 * * [simplify]: Extracting # 1 : cost 0 2.722 * * [simplify]: Extracting # 2 : cost 0 2.726 * * [simplify]: iteration done: 5000 enodes (cost 21 ) 2.726 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 2.727 * * [progress]: iteration 1 / 4 2.727 * * * [progress]: picking best candidate 2.729 * * * * [pick]: Picked # 2.729 * * * [progress]: localizing error 2.760 * * * [progress]: generating rewritten candidates 2.760 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 3.093 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.246 * * * [progress]: generating series expansions 3.246 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.247 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) 3.247 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in (b a) around 0 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 3.247 * [taylor]: Taking taylor expansion of 0.5 in a 3.247 * [backup-simplify]: Simplify 0.5 into 0.5 3.247 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 3.247 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 3.247 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 3.248 * [taylor]: Taking taylor expansion of 1.0 in a 3.248 * [backup-simplify]: Simplify 1.0 into 1.0 3.248 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.248 * [taylor]: Taking taylor expansion of a in a 3.248 * [backup-simplify]: Simplify 0 into 0 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 3.248 * [taylor]: Taking taylor expansion of 1.0 in a 3.248 * [backup-simplify]: Simplify 1.0 into 1.0 3.248 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.248 * [taylor]: Taking taylor expansion of b in a 3.249 * [backup-simplify]: Simplify b into b 3.249 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.249 * [taylor]: Taking taylor expansion of PI in a 3.249 * [backup-simplify]: Simplify PI into PI 3.249 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 3.249 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.249 * [taylor]: Taking taylor expansion of b in a 3.249 * [backup-simplify]: Simplify b into b 3.249 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.249 * [taylor]: Taking taylor expansion of a in a 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.251 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 3.251 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.251 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 3.252 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 3.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 3.252 * [taylor]: Taking taylor expansion of 0.5 in b 3.252 * [backup-simplify]: Simplify 0.5 into 0.5 3.252 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 3.252 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 3.252 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 3.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 3.252 * [taylor]: Taking taylor expansion of 1.0 in b 3.252 * [backup-simplify]: Simplify 1.0 into 1.0 3.252 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.252 * [taylor]: Taking taylor expansion of a in b 3.253 * [backup-simplify]: Simplify a into a 3.253 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.253 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 3.253 * [taylor]: Taking taylor expansion of 1.0 in b 3.253 * [backup-simplify]: Simplify 1.0 into 1.0 3.253 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.253 * [taylor]: Taking taylor expansion of b in b 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (/ 1 1) into 1 3.253 * [taylor]: Taking taylor expansion of PI in b 3.253 * [backup-simplify]: Simplify PI into PI 3.253 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.253 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.253 * [taylor]: Taking taylor expansion of b in b 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.253 * [taylor]: Taking taylor expansion of a in b 3.254 * [backup-simplify]: Simplify a into a 3.254 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.254 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.255 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.256 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 3.256 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.257 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.257 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.257 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 3.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 3.257 * [taylor]: Taking taylor expansion of 0.5 in b 3.258 * [backup-simplify]: Simplify 0.5 into 0.5 3.258 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 3.258 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 3.258 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 3.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 3.258 * [taylor]: Taking taylor expansion of 1.0 in b 3.258 * [backup-simplify]: Simplify 1.0 into 1.0 3.258 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.258 * [taylor]: Taking taylor expansion of a in b 3.258 * [backup-simplify]: Simplify a into a 3.258 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 3.258 * [taylor]: Taking taylor expansion of 1.0 in b 3.258 * [backup-simplify]: Simplify 1.0 into 1.0 3.258 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.258 * [taylor]: Taking taylor expansion of b in b 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (/ 1 1) into 1 3.259 * [taylor]: Taking taylor expansion of PI in b 3.259 * [backup-simplify]: Simplify PI into PI 3.259 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.259 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.259 * [taylor]: Taking taylor expansion of b in b 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.259 * [taylor]: Taking taylor expansion of a in b 3.259 * [backup-simplify]: Simplify a into a 3.259 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.260 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.261 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.262 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 3.262 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.262 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.262 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.263 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 3.263 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 3.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 3.263 * [taylor]: Taking taylor expansion of 0.5 in a 3.263 * [backup-simplify]: Simplify 0.5 into 0.5 3.263 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.263 * [taylor]: Taking taylor expansion of PI in a 3.263 * [backup-simplify]: Simplify PI into PI 3.263 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.263 * [taylor]: Taking taylor expansion of a in a 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.264 * [backup-simplify]: Simplify (/ PI 1) into PI 3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.269 * [backup-simplify]: Simplify (- 0) into 0 3.269 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 3.270 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 3.270 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.270 * [backup-simplify]: Simplify (- 0) into 0 3.271 * [backup-simplify]: Simplify (+ 0 0) into 0 3.271 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 3.272 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 3.272 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 3.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 3.272 * [taylor]: Taking taylor expansion of 0.5 in a 3.272 * [backup-simplify]: Simplify 0.5 into 0.5 3.272 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 3.272 * [taylor]: Taking taylor expansion of PI in a 3.272 * [backup-simplify]: Simplify PI into PI 3.272 * [taylor]: Taking taylor expansion of (pow a 3) in a 3.272 * [taylor]: Taking taylor expansion of a in a 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ PI 1) into PI 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (- 0) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify (+ 1 0) into 1 3.286 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 3.286 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 3.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 3.286 * [taylor]: Taking taylor expansion of 0.5 in a 3.286 * [backup-simplify]: Simplify 0.5 into 0.5 3.286 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 3.286 * [taylor]: Taking taylor expansion of PI in a 3.286 * [backup-simplify]: Simplify PI into PI 3.286 * [taylor]: Taking taylor expansion of (pow a 4) in a 3.286 * [taylor]: Taking taylor expansion of a in a 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.286 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (* 1 1) into 1 3.287 * [backup-simplify]: Simplify (/ PI 1) into PI 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.292 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.297 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.297 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.297 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.297 * [taylor]: Taking taylor expansion of 0.5 in a 3.297 * [backup-simplify]: Simplify 0.5 into 0.5 3.297 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.297 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 3.298 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 3.298 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 3.298 * [taylor]: Taking taylor expansion of 1.0 in a 3.298 * [backup-simplify]: Simplify 1.0 into 1.0 3.298 * [taylor]: Taking taylor expansion of a in a 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 3.298 * [taylor]: Taking taylor expansion of 1.0 in a 3.298 * [backup-simplify]: Simplify 1.0 into 1.0 3.298 * [taylor]: Taking taylor expansion of b in a 3.298 * [backup-simplify]: Simplify b into b 3.298 * [taylor]: Taking taylor expansion of PI in a 3.298 * [backup-simplify]: Simplify PI into PI 3.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.298 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.298 * [taylor]: Taking taylor expansion of b in a 3.298 * [backup-simplify]: Simplify b into b 3.298 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.298 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.298 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.298 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.298 * [taylor]: Taking taylor expansion of a in a 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.298 * [backup-simplify]: Simplify (* 1 1) into 1 3.299 * [backup-simplify]: Simplify (/ 1 1) into 1 3.299 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.299 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 3.299 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 3.299 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 3.299 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 3.299 * [backup-simplify]: Simplify (- 1) into -1 3.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.300 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 3.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.300 * [taylor]: Taking taylor expansion of 0.5 in b 3.300 * [backup-simplify]: Simplify 0.5 into 0.5 3.300 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.300 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 3.300 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 3.300 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 3.300 * [taylor]: Taking taylor expansion of 1.0 in b 3.300 * [backup-simplify]: Simplify 1.0 into 1.0 3.300 * [taylor]: Taking taylor expansion of a in b 3.300 * [backup-simplify]: Simplify a into a 3.300 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 3.300 * [taylor]: Taking taylor expansion of 1.0 in b 3.300 * [backup-simplify]: Simplify 1.0 into 1.0 3.300 * [taylor]: Taking taylor expansion of b in b 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [taylor]: Taking taylor expansion of PI in b 3.300 * [backup-simplify]: Simplify PI into PI 3.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.300 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.300 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.300 * [taylor]: Taking taylor expansion of b in b 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [backup-simplify]: Simplify (* 1 1) into 1 3.301 * [backup-simplify]: Simplify (/ 1 1) into 1 3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.301 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.301 * [taylor]: Taking taylor expansion of a in b 3.301 * [backup-simplify]: Simplify a into a 3.301 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.301 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.301 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 3.301 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.301 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 3.301 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 3.302 * [backup-simplify]: Simplify (+ 1 0) into 1 3.302 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 3.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.302 * [taylor]: Taking taylor expansion of 0.5 in b 3.302 * [backup-simplify]: Simplify 0.5 into 0.5 3.302 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.302 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 3.302 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 3.302 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 3.302 * [taylor]: Taking taylor expansion of 1.0 in b 3.302 * [backup-simplify]: Simplify 1.0 into 1.0 3.302 * [taylor]: Taking taylor expansion of a in b 3.302 * [backup-simplify]: Simplify a into a 3.302 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 3.302 * [taylor]: Taking taylor expansion of 1.0 in b 3.302 * [backup-simplify]: Simplify 1.0 into 1.0 3.302 * [taylor]: Taking taylor expansion of b in b 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of PI in b 3.302 * [backup-simplify]: Simplify PI into PI 3.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.302 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.302 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.302 * [taylor]: Taking taylor expansion of b in b 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (* 1 1) into 1 3.303 * [backup-simplify]: Simplify (/ 1 1) into 1 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.303 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.303 * [taylor]: Taking taylor expansion of a in b 3.303 * [backup-simplify]: Simplify a into a 3.303 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.303 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.303 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 3.303 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.304 * [backup-simplify]: Simplify (- 0) into 0 3.304 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 3.304 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 3.304 * [backup-simplify]: Simplify (+ 1 0) into 1 3.304 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 3.304 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 3.304 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 3.304 * [taylor]: Taking taylor expansion of 0.5 in a 3.304 * [backup-simplify]: Simplify 0.5 into 0.5 3.304 * [taylor]: Taking taylor expansion of (* a PI) in a 3.304 * [taylor]: Taking taylor expansion of a in a 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 1 into 1 3.304 * [taylor]: Taking taylor expansion of PI in a 3.304 * [backup-simplify]: Simplify PI into PI 3.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.315 * [backup-simplify]: Simplify (* 0 PI) into 0 3.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 3.319 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.319 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.320 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.321 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 3.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.326 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 3.328 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 3.328 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 3.328 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.328 * [taylor]: Taking taylor expansion of 0.5 in a 3.328 * [backup-simplify]: Simplify 0.5 into 0.5 3.328 * [taylor]: Taking taylor expansion of PI in a 3.328 * [backup-simplify]: Simplify PI into PI 3.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.329 * [backup-simplify]: Simplify (- 0) into 0 3.330 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.332 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 3.334 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.334 * [backup-simplify]: Simplify (- 0) into 0 3.335 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.338 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 3.341 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 3.341 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 3.341 * [taylor]: Taking taylor expansion of 0.5 in a 3.341 * [backup-simplify]: Simplify 0.5 into 0.5 3.341 * [taylor]: Taking taylor expansion of (/ PI a) in a 3.341 * [taylor]: Taking taylor expansion of PI in a 3.341 * [backup-simplify]: Simplify PI into PI 3.342 * [taylor]: Taking taylor expansion of a in a 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (/ PI 1) into PI 3.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.346 * [backup-simplify]: Simplify (- 0) into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.348 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.348 * [taylor]: Taking taylor expansion of 0.5 in a 3.348 * [backup-simplify]: Simplify 0.5 into 0.5 3.348 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.348 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 3.348 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 3.348 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 3.348 * [taylor]: Taking taylor expansion of 1.0 in a 3.348 * [backup-simplify]: Simplify 1.0 into 1.0 3.348 * [taylor]: Taking taylor expansion of b in a 3.348 * [backup-simplify]: Simplify b into b 3.348 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 3.348 * [taylor]: Taking taylor expansion of 1.0 in a 3.348 * [backup-simplify]: Simplify 1.0 into 1.0 3.348 * [taylor]: Taking taylor expansion of a in a 3.348 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify 1 into 1 3.348 * [taylor]: Taking taylor expansion of PI in a 3.348 * [backup-simplify]: Simplify PI into PI 3.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.348 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.348 * [taylor]: Taking taylor expansion of b in a 3.348 * [backup-simplify]: Simplify b into b 3.348 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.348 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.348 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.349 * [taylor]: Taking taylor expansion of a in a 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (* 1 1) into 1 3.349 * [backup-simplify]: Simplify (/ 1 1) into 1 3.349 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 3.349 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.350 * [backup-simplify]: Simplify (- 0) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 3.350 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 3.350 * [backup-simplify]: Simplify (- 1) into -1 3.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.350 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) -1) into (* -1.0 (* b PI)) 3.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.350 * [taylor]: Taking taylor expansion of 0.5 in b 3.350 * [backup-simplify]: Simplify 0.5 into 0.5 3.350 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.350 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 3.350 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 3.350 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 3.350 * [taylor]: Taking taylor expansion of 1.0 in b 3.350 * [backup-simplify]: Simplify 1.0 into 1.0 3.351 * [taylor]: Taking taylor expansion of b in b 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 3.351 * [taylor]: Taking taylor expansion of 1.0 in b 3.351 * [backup-simplify]: Simplify 1.0 into 1.0 3.351 * [taylor]: Taking taylor expansion of a in b 3.351 * [backup-simplify]: Simplify a into a 3.351 * [taylor]: Taking taylor expansion of PI in b 3.351 * [backup-simplify]: Simplify PI into PI 3.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.351 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.351 * [taylor]: Taking taylor expansion of b in b 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify (/ 1 1) into 1 3.351 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.351 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.351 * [taylor]: Taking taylor expansion of a in b 3.351 * [backup-simplify]: Simplify a into a 3.351 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.351 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.352 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 3.352 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 3.352 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 3.352 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 3.352 * [backup-simplify]: Simplify (+ 1 0) into 1 3.352 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 3.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.352 * [taylor]: Taking taylor expansion of 0.5 in b 3.352 * [backup-simplify]: Simplify 0.5 into 0.5 3.352 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.352 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 3.352 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 3.353 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 3.353 * [taylor]: Taking taylor expansion of 1.0 in b 3.353 * [backup-simplify]: Simplify 1.0 into 1.0 3.353 * [taylor]: Taking taylor expansion of b in b 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 3.353 * [taylor]: Taking taylor expansion of 1.0 in b 3.353 * [backup-simplify]: Simplify 1.0 into 1.0 3.353 * [taylor]: Taking taylor expansion of a in b 3.353 * [backup-simplify]: Simplify a into a 3.353 * [taylor]: Taking taylor expansion of PI in b 3.353 * [backup-simplify]: Simplify PI into PI 3.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.353 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.353 * [taylor]: Taking taylor expansion of b in b 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.353 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.353 * [taylor]: Taking taylor expansion of a in b 3.353 * [backup-simplify]: Simplify a into a 3.353 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.354 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.354 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.354 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 3.354 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 3.354 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 3.354 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 3.354 * [backup-simplify]: Simplify (+ 1 0) into 1 3.354 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 3.354 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 3.355 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 3.355 * [taylor]: Taking taylor expansion of -0.5 in a 3.355 * [backup-simplify]: Simplify -0.5 into -0.5 3.355 * [taylor]: Taking taylor expansion of (* a PI) in a 3.355 * [taylor]: Taking taylor expansion of a in a 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of PI in a 3.355 * [backup-simplify]: Simplify PI into PI 3.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.356 * [backup-simplify]: Simplify (* 0 PI) into 0 3.357 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 3.359 * [backup-simplify]: Simplify (- 0) into 0 3.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.359 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 3.362 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 3.362 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.362 * [taylor]: Taking taylor expansion of 0.5 in a 3.362 * [backup-simplify]: Simplify 0.5 into 0.5 3.362 * [taylor]: Taking taylor expansion of PI in a 3.362 * [backup-simplify]: Simplify PI into PI 3.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 3.365 * [backup-simplify]: Simplify (- 0) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.367 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.368 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 3.369 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 3.369 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 3.369 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 3.369 * [taylor]: Taking taylor expansion of 0.5 in a 3.369 * [backup-simplify]: Simplify 0.5 into 0.5 3.369 * [taylor]: Taking taylor expansion of (/ PI a) in a 3.369 * [taylor]: Taking taylor expansion of PI in a 3.369 * [backup-simplify]: Simplify PI into PI 3.369 * [taylor]: Taking taylor expansion of a in a 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ PI 1) into PI 3.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.375 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 3.376 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 3.376 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 3.376 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 3.376 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.376 * [taylor]: Taking taylor expansion of b in a 3.376 * [backup-simplify]: Simplify b into b 3.376 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.376 * [taylor]: Taking taylor expansion of a in a 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.376 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.376 * [taylor]: Taking taylor expansion of b in b 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.376 * [taylor]: Taking taylor expansion of a in b 3.376 * [backup-simplify]: Simplify a into a 3.376 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.376 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.376 * [taylor]: Taking taylor expansion of b in b 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.376 * [taylor]: Taking taylor expansion of a in b 3.376 * [backup-simplify]: Simplify a into a 3.377 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.377 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.377 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.377 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 3.377 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.377 * [taylor]: Taking taylor expansion of a in a 3.377 * [backup-simplify]: Simplify 0 into 0 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.378 * [backup-simplify]: Simplify (- 0) into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [taylor]: Taking taylor expansion of 0 in a 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (* 1 1) into 1 3.379 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 1 0) into 1 3.380 * [taylor]: Taking taylor expansion of 1 in a 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.381 * [backup-simplify]: Simplify (- 1) into -1 3.381 * [backup-simplify]: Simplify -1 into -1 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.382 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.383 * [taylor]: Taking taylor expansion of 0 in a 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 3.386 * [backup-simplify]: Simplify (- 0) into 0 3.387 * [backup-simplify]: Simplify (+ 0 0) into 0 3.387 * [taylor]: Taking taylor expansion of 0 in a 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 3.388 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 3.388 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 3.388 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.388 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.388 * [taylor]: Taking taylor expansion of b in a 3.388 * [backup-simplify]: Simplify b into b 3.388 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.388 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.388 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.388 * [taylor]: Taking taylor expansion of a in a 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.389 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.389 * [taylor]: Taking taylor expansion of b in b 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (/ 1 1) into 1 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.390 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.390 * [taylor]: Taking taylor expansion of a in b 3.390 * [backup-simplify]: Simplify a into a 3.390 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.390 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.390 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.391 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.391 * [taylor]: Taking taylor expansion of b in b 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (* 1 1) into 1 3.391 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.391 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.391 * [taylor]: Taking taylor expansion of a in b 3.392 * [backup-simplify]: Simplify a into a 3.392 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.392 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.392 * [backup-simplify]: Simplify (+ 1 0) into 1 3.392 * [taylor]: Taking taylor expansion of 1 in a 3.392 * [backup-simplify]: Simplify 1 into 1 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in a 3.394 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.396 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.397 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.397 * [taylor]: Taking taylor expansion of a in a 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (- 1) into -1 3.398 * [backup-simplify]: Simplify -1 into -1 3.398 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [taylor]: Taking taylor expansion of 0 in a 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 3.406 * [backup-simplify]: Simplify (- 0) into 0 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [taylor]: Taking taylor expansion of 0 in a 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 3.409 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 3.409 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 3.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.409 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.409 * [taylor]: Taking taylor expansion of b in a 3.409 * [backup-simplify]: Simplify b into b 3.409 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.409 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.409 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.409 * [taylor]: Taking taylor expansion of a in a 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.410 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.410 * [taylor]: Taking taylor expansion of b in b 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (/ 1 1) into 1 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.410 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.410 * [taylor]: Taking taylor expansion of a in b 3.410 * [backup-simplify]: Simplify a into a 3.410 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.411 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.411 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.411 * [taylor]: Taking taylor expansion of b in b 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.411 * [backup-simplify]: Simplify (/ 1 1) into 1 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.411 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.411 * [taylor]: Taking taylor expansion of a in b 3.411 * [backup-simplify]: Simplify a into a 3.411 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.412 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.412 * [backup-simplify]: Simplify (+ 1 0) into 1 3.412 * [taylor]: Taking taylor expansion of 1 in a 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.414 * [taylor]: Taking taylor expansion of 0 in a 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.416 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 3.416 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.416 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.416 * [taylor]: Taking taylor expansion of a in a 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (* 1 1) into 1 3.416 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [backup-simplify]: Simplify (- 1) into -1 3.416 * [backup-simplify]: Simplify -1 into -1 3.416 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [taylor]: Taking taylor expansion of 0 in a 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [taylor]: Taking taylor expansion of 0 in a 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 3.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.424 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 3.424 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 3.424 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 3.424 * [taylor]: Taking taylor expansion of 1.0 in a 3.424 * [backup-simplify]: Simplify 1.0 into 1.0 3.424 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 3.424 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.424 * [taylor]: Taking taylor expansion of b in a 3.424 * [backup-simplify]: Simplify b into b 3.424 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.424 * [taylor]: Taking taylor expansion of a in a 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.424 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 3.424 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 3.424 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 3.424 * [taylor]: Taking taylor expansion of 1.0 in b 3.424 * [backup-simplify]: Simplify 1.0 into 1.0 3.424 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.424 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.424 * [taylor]: Taking taylor expansion of b in b 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.424 * [taylor]: Taking taylor expansion of a in b 3.425 * [backup-simplify]: Simplify a into a 3.425 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.425 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.425 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.425 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 3.425 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 3.425 * [taylor]: Taking taylor expansion of 1.0 in b 3.425 * [backup-simplify]: Simplify 1.0 into 1.0 3.425 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.425 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.425 * [taylor]: Taking taylor expansion of b in b 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.425 * [taylor]: Taking taylor expansion of a in b 3.425 * [backup-simplify]: Simplify a into a 3.425 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.425 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.425 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.425 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 3.425 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 3.426 * [taylor]: Taking taylor expansion of -1.0 in a 3.426 * [backup-simplify]: Simplify -1.0 into -1.0 3.426 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.426 * [taylor]: Taking taylor expansion of a in a 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (* 1 1) into 1 3.426 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.428 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 3.429 * [taylor]: Taking taylor expansion of 0 in a 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.431 * [backup-simplify]: Simplify (- 0) into 0 3.431 * [backup-simplify]: Simplify (+ 1 0) into 1 3.432 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ 1 (pow a 4)))) 3.432 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 3.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 3.432 * [taylor]: Taking taylor expansion of 1.0 in a 3.432 * [backup-simplify]: Simplify 1.0 into 1.0 3.432 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 3.432 * [taylor]: Taking taylor expansion of (pow a 4) in a 3.432 * [taylor]: Taking taylor expansion of a in a 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.451 * [backup-simplify]: Simplify (- 0) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 3.454 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 3.454 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.454 * [taylor]: Taking taylor expansion of 1.0 in a 3.454 * [backup-simplify]: Simplify 1.0 into 1.0 3.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.454 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.454 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.454 * [taylor]: Taking taylor expansion of b in a 3.454 * [backup-simplify]: Simplify b into b 3.454 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.455 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.455 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.455 * [taylor]: Taking taylor expansion of a in a 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [backup-simplify]: Simplify (- 1) into -1 3.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.457 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 3.457 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.457 * [taylor]: Taking taylor expansion of 1.0 in b 3.457 * [backup-simplify]: Simplify 1.0 into 1.0 3.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.457 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.457 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.457 * [taylor]: Taking taylor expansion of b in b 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (* 1 1) into 1 3.458 * [backup-simplify]: Simplify (/ 1 1) into 1 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.458 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.458 * [taylor]: Taking taylor expansion of a in b 3.458 * [backup-simplify]: Simplify a into a 3.458 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.458 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.459 * [backup-simplify]: Simplify (+ 1 0) into 1 3.459 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.459 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.459 * [taylor]: Taking taylor expansion of 1.0 in b 3.459 * [backup-simplify]: Simplify 1.0 into 1.0 3.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.459 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.459 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.459 * [taylor]: Taking taylor expansion of b in b 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (* 1 1) into 1 3.460 * [backup-simplify]: Simplify (/ 1 1) into 1 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.460 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.460 * [taylor]: Taking taylor expansion of a in b 3.460 * [backup-simplify]: Simplify a into a 3.461 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.461 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.461 * [backup-simplify]: Simplify (+ 1 0) into 1 3.462 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.462 * [taylor]: Taking taylor expansion of 1.0 in a 3.462 * [backup-simplify]: Simplify 1.0 into 1.0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 3.464 * [taylor]: Taking taylor expansion of 0 in a 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.467 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 3.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 3.468 * [taylor]: Taking taylor expansion of 1.0 in a 3.468 * [backup-simplify]: Simplify 1.0 into 1.0 3.468 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.468 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.468 * [taylor]: Taking taylor expansion of a in a 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (* 1 1) into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 3.478 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 3.478 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.478 * [taylor]: Taking taylor expansion of 1.0 in a 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.478 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.478 * [taylor]: Taking taylor expansion of b in a 3.478 * [backup-simplify]: Simplify b into b 3.479 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.479 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.479 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.479 * [taylor]: Taking taylor expansion of a in a 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [backup-simplify]: Simplify (- 1) into -1 3.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.481 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 3.481 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.481 * [taylor]: Taking taylor expansion of 1.0 in b 3.481 * [backup-simplify]: Simplify 1.0 into 1.0 3.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.481 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.481 * [taylor]: Taking taylor expansion of b in b 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.482 * [backup-simplify]: Simplify (* 1 1) into 1 3.482 * [backup-simplify]: Simplify (/ 1 1) into 1 3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.482 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.482 * [taylor]: Taking taylor expansion of a in b 3.482 * [backup-simplify]: Simplify a into a 3.482 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.482 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.483 * [backup-simplify]: Simplify (+ 1 0) into 1 3.483 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.483 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.483 * [taylor]: Taking taylor expansion of 1.0 in b 3.483 * [backup-simplify]: Simplify 1.0 into 1.0 3.483 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.483 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.483 * [taylor]: Taking taylor expansion of b in b 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (* 1 1) into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.484 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.484 * [taylor]: Taking taylor expansion of a in b 3.484 * [backup-simplify]: Simplify a into a 3.484 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.485 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.485 * [backup-simplify]: Simplify (+ 1 0) into 1 3.486 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.486 * [taylor]: Taking taylor expansion of 1.0 in a 3.486 * [backup-simplify]: Simplify 1.0 into 1.0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 3.488 * [taylor]: Taking taylor expansion of 0 in a 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.491 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 3.492 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 3.492 * [taylor]: Taking taylor expansion of 1.0 in a 3.493 * [backup-simplify]: Simplify 1.0 into 1.0 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.493 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.493 * [taylor]: Taking taylor expansion of a in a 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify 0 into 0 3.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.503 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 3.503 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 3.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 3.503 * [taylor]: Taking taylor expansion of 0.5 in a 3.503 * [backup-simplify]: Simplify 0.5 into 0.5 3.503 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 3.503 * [taylor]: Taking taylor expansion of PI in a 3.504 * [backup-simplify]: Simplify PI into PI 3.504 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 3.504 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.504 * [taylor]: Taking taylor expansion of b in a 3.504 * [backup-simplify]: Simplify b into b 3.504 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.504 * [taylor]: Taking taylor expansion of a in a 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.504 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 3.504 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 3.504 * [taylor]: Taking taylor expansion of 0.5 in b 3.504 * [backup-simplify]: Simplify 0.5 into 0.5 3.504 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 3.504 * [taylor]: Taking taylor expansion of PI in b 3.504 * [backup-simplify]: Simplify PI into PI 3.504 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.504 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.504 * [taylor]: Taking taylor expansion of b in b 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.505 * [taylor]: Taking taylor expansion of a in b 3.505 * [backup-simplify]: Simplify a into a 3.505 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.505 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.505 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.505 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 3.505 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 3.505 * [taylor]: Taking taylor expansion of 0.5 in b 3.505 * [backup-simplify]: Simplify 0.5 into 0.5 3.505 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 3.505 * [taylor]: Taking taylor expansion of PI in b 3.505 * [backup-simplify]: Simplify PI into PI 3.505 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.506 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.506 * [taylor]: Taking taylor expansion of b in b 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.506 * [taylor]: Taking taylor expansion of a in b 3.506 * [backup-simplify]: Simplify a into a 3.506 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.506 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.506 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.506 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 3.507 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 3.507 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 3.507 * [taylor]: Taking taylor expansion of -0.5 in a 3.507 * [backup-simplify]: Simplify -0.5 into -0.5 3.507 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.507 * [taylor]: Taking taylor expansion of PI in a 3.507 * [backup-simplify]: Simplify PI into PI 3.507 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.507 * [taylor]: Taking taylor expansion of a in a 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.508 * [backup-simplify]: Simplify (* 1 1) into 1 3.508 * [backup-simplify]: Simplify (/ PI 1) into PI 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.514 * [backup-simplify]: Simplify (- 0) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 3.515 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 3.515 * [taylor]: Taking taylor expansion of 0 in a 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (* 1 1) into 1 3.519 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.520 * [backup-simplify]: Simplify (- 0) into 0 3.520 * [backup-simplify]: Simplify (+ 1 0) into 1 3.521 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (/ PI (pow a 4))) 3.522 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 3.522 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 3.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 3.522 * [taylor]: Taking taylor expansion of 0.5 in a 3.522 * [backup-simplify]: Simplify 0.5 into 0.5 3.522 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 3.522 * [taylor]: Taking taylor expansion of PI in a 3.522 * [backup-simplify]: Simplify PI into PI 3.522 * [taylor]: Taking taylor expansion of (pow a 4) in a 3.522 * [taylor]: Taking taylor expansion of a in a 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.523 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify (/ PI 1) into PI 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.536 * [backup-simplify]: Simplify (- 0) into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.541 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.541 * [taylor]: Taking taylor expansion of 0.5 in a 3.541 * [backup-simplify]: Simplify 0.5 into 0.5 3.541 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.541 * [taylor]: Taking taylor expansion of PI in a 3.541 * [backup-simplify]: Simplify PI into PI 3.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.542 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.542 * [taylor]: Taking taylor expansion of b in a 3.542 * [backup-simplify]: Simplify b into b 3.542 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.542 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.542 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.542 * [taylor]: Taking taylor expansion of a in a 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [backup-simplify]: Simplify (- 1) into -1 3.543 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.544 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 3.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.544 * [taylor]: Taking taylor expansion of 0.5 in b 3.544 * [backup-simplify]: Simplify 0.5 into 0.5 3.544 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.544 * [taylor]: Taking taylor expansion of PI in b 3.544 * [backup-simplify]: Simplify PI into PI 3.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.544 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.544 * [taylor]: Taking taylor expansion of b in b 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.545 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.545 * [taylor]: Taking taylor expansion of a in b 3.545 * [backup-simplify]: Simplify a into a 3.545 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.545 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.546 * [backup-simplify]: Simplify (+ 1 0) into 1 3.546 * [backup-simplify]: Simplify (/ PI 1) into PI 3.546 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.546 * [taylor]: Taking taylor expansion of 0.5 in b 3.546 * [backup-simplify]: Simplify 0.5 into 0.5 3.546 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.546 * [taylor]: Taking taylor expansion of PI in b 3.547 * [backup-simplify]: Simplify PI into PI 3.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.547 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.547 * [taylor]: Taking taylor expansion of b in b 3.547 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify 1 into 1 3.547 * [backup-simplify]: Simplify (* 1 1) into 1 3.547 * [backup-simplify]: Simplify (/ 1 1) into 1 3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.547 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.547 * [taylor]: Taking taylor expansion of a in b 3.547 * [backup-simplify]: Simplify a into a 3.548 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.548 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.548 * [backup-simplify]: Simplify (+ 1 0) into 1 3.549 * [backup-simplify]: Simplify (/ PI 1) into PI 3.549 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 3.549 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.549 * [taylor]: Taking taylor expansion of 0.5 in a 3.549 * [backup-simplify]: Simplify 0.5 into 0.5 3.549 * [taylor]: Taking taylor expansion of PI in a 3.549 * [backup-simplify]: Simplify PI into PI 3.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ 0 0) into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 3.554 * [taylor]: Taking taylor expansion of 0 in a 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.557 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 3.560 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 3.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 3.560 * [taylor]: Taking taylor expansion of 0.5 in a 3.560 * [backup-simplify]: Simplify 0.5 into 0.5 3.560 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.560 * [taylor]: Taking taylor expansion of PI in a 3.560 * [backup-simplify]: Simplify PI into PI 3.560 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.560 * [taylor]: Taking taylor expansion of a in a 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.560 * [backup-simplify]: Simplify (* 1 1) into 1 3.561 * [backup-simplify]: Simplify (/ PI 1) into PI 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.568 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.568 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.568 * [taylor]: Taking taylor expansion of 0.5 in a 3.568 * [backup-simplify]: Simplify 0.5 into 0.5 3.568 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.568 * [taylor]: Taking taylor expansion of PI in a 3.568 * [backup-simplify]: Simplify PI into PI 3.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.568 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.568 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.568 * [taylor]: Taking taylor expansion of b in a 3.568 * [backup-simplify]: Simplify b into b 3.568 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.568 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.568 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.568 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.568 * [taylor]: Taking taylor expansion of a in a 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.569 * [backup-simplify]: Simplify (/ 1 1) into 1 3.569 * [backup-simplify]: Simplify (- 1) into -1 3.570 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.570 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 3.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.570 * [taylor]: Taking taylor expansion of 0.5 in b 3.570 * [backup-simplify]: Simplify 0.5 into 0.5 3.570 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.570 * [taylor]: Taking taylor expansion of PI in b 3.570 * [backup-simplify]: Simplify PI into PI 3.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.570 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.570 * [taylor]: Taking taylor expansion of b in b 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (* 1 1) into 1 3.571 * [backup-simplify]: Simplify (/ 1 1) into 1 3.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.571 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.571 * [taylor]: Taking taylor expansion of a in b 3.571 * [backup-simplify]: Simplify a into a 3.571 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.571 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.571 * [backup-simplify]: Simplify (+ 1 0) into 1 3.572 * [backup-simplify]: Simplify (/ PI 1) into PI 3.572 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.572 * [taylor]: Taking taylor expansion of 0.5 in b 3.572 * [backup-simplify]: Simplify 0.5 into 0.5 3.572 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.572 * [taylor]: Taking taylor expansion of PI in b 3.572 * [backup-simplify]: Simplify PI into PI 3.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.572 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.572 * [taylor]: Taking taylor expansion of b in b 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [backup-simplify]: Simplify (* 1 1) into 1 3.573 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.573 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.573 * [taylor]: Taking taylor expansion of a in b 3.573 * [backup-simplify]: Simplify a into a 3.573 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.573 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.573 * [backup-simplify]: Simplify (+ 1 0) into 1 3.573 * [backup-simplify]: Simplify (/ PI 1) into PI 3.574 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 3.574 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.574 * [taylor]: Taking taylor expansion of 0.5 in a 3.574 * [backup-simplify]: Simplify 0.5 into 0.5 3.574 * [taylor]: Taking taylor expansion of PI in a 3.574 * [backup-simplify]: Simplify PI into PI 3.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 3.577 * [taylor]: Taking taylor expansion of 0 in a 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.579 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 3.580 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 3.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 3.580 * [taylor]: Taking taylor expansion of 0.5 in a 3.580 * [backup-simplify]: Simplify 0.5 into 0.5 3.581 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.581 * [taylor]: Taking taylor expansion of PI in a 3.581 * [backup-simplify]: Simplify PI into PI 3.581 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.581 * [taylor]: Taking taylor expansion of a in a 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (* 1 1) into 1 3.588 * [backup-simplify]: Simplify (/ PI 1) into PI 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * * * [progress]: simplifying candidates 3.610 * [simplify]: Simplifying: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- 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a)))) 0 0 0 (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) 0 0 0 0 0 0 3.674 * * [simplify]: Extracting # 0 : cost 0 3.676 * * [simplify]: Extracting # 1 : cost 0 3.678 * * [simplify]: Extracting # 2 : cost 0 3.686 * * [simplify]: Extracting # 3 : cost 0 3.687 * * [simplify]: Extracting # 4 : cost 0 3.689 * * [simplify]: Extracting # 5 : cost 0 3.691 * * [simplify]: Extracting # 6 : cost 0 3.693 * * [simplify]: Extracting # 7 : cost 0 3.694 * * [simplify]: Extracting # 8 : cost 0 3.696 * * [simplify]: Extracting # 9 : cost 0 3.698 * * [simplify]: iteration 0 : 886 enodes (cost 27857 ) 4.220 * * [simplify]: Extracting # 0 : cost 0 4.225 * * [simplify]: Extracting # 1 : cost 0 4.228 * * [simplify]: Extracting # 2 : cost 0 4.238 * * [simplify]: Extracting # 3 : cost 0 4.241 * * [simplify]: Extracting # 4 : cost 0 4.245 * * [simplify]: Extracting # 5 : cost 0 4.251 * * [simplify]: iteration 1 : 2290 enodes (cost 25797 ) 5.960 * * [simplify]: Extracting # 0 : cost 0 5.972 * * [simplify]: Extracting # 1 : cost 0 5.984 * * [simplify]: Extracting # 2 : cost 0 5.996 * * [simplify]: Extracting # 3 : cost 0 6.007 * * [simplify]: Extracting # 4 : cost 0 6.026 * * [simplify]: Extracting # 5 : cost 0 6.037 * * [simplify]: iteration done: 5000 enodes (cost 22403 ) 6.047 * [simplify]: Simplified to: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) 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b) (cbrt b)))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (+ (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (cbrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (fma 1.0 (/ 1 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ (sqrt 1.0) (sqrt b)) (+ (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (fma 1.0 (/ 1 a) (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1 (* (cbrt b) (cbrt b))) (+ (- (/ 1.0 (cbrt b))) (/ 1.0 (cbrt b)))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (fma 1.0 (/ 1 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (sqrt b)) (+ (/ -1 (sqrt b)) (/ 1 (sqrt b)))))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 b))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (sqrt (- (/ 1.0 a) (/ 1.0 b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0))) (* (sqrt 1.0) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 1.0) (* (/ 1.0 (- (* b b) (* a a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* 1.0 b) (* a 1.0))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (* PI 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (fma b b (- (* a a))) (* a (+ (- a) a)) (expm1 (- (* b b) (* a a))) (log1p (- (* b b) (* a a))) (- (* a a)) (exp (- (* b b) (* a a))) (log (- (* b b) (* a a))) (exp (- (* b b) (* a a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a))) (pow (fma b b (- (* a a))) 3) (sqrt (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (- (pow (* b b) 3) (pow (* a a) 3)) (fma (* a a) (fma b b (* a a)) (* (pow b 3) b)) (- (* a a)) (- (* (pow b 3) b) (* a (pow a 3))) (fma b b (* a a)) (+ b a) (- b a) (- (* a a)) (expm1 (/ 1.0 (- (* b b) (* a a)))) (log1p (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (exp (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (- 1.0) (- (- (* b b) (* a a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (sqrt (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- (* b b) (* a a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (sqrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt 1.0) (/ (sqrt 1.0) (- (* b b) (* a a))) (/ (sqrt 1.0) (+ b a)) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (cbrt (- (* b b) (* a a)))) (/ 1 (sqrt (- (* b b) (* a a)))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1 (/ 1.0 (- (* b b) (* a a))) (/ 1 (+ b a)) (/ 1.0 (- b a)) (/ 1 (- (* b b) (* a a))) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1.0 (/ 1.0 (+ b a)) (/ (- (* b b) (* a a)) (cbrt 1.0)) (/ (- (* b b) (* a a)) (sqrt 1.0)) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3))) (/ 1.0 (- (* (pow b 3) b) (* a (pow a 3)))) (expm1 (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log1p (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (exp (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (pow (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 3) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* PI 1.0) (* 2.0 (- (* b b) (* a a))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a)))))) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt 1.0) (cbrt 1.0))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a))) (* (/ PI 2.0) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt 1.0) (/ PI 2.0)) (* (/ PI 2.0) (/ (sqrt 1.0) (+ b a))) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ b a)) (/ PI 2.0) (* (/ PI 2.0) 1.0) (* (/ PI 2.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3)))) (/ (* PI (/ 1.0 (- (* (pow b 3) b) (* a (pow a 3))))) 2.0) (* (cbrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (sqrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (/ 1.0 (- (* b b) (* a a))) 2.0) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (fma b b (- (* a a))) (fma b b (- (* a a))) (fma b b (- (* a a))) 0 0 0 0 0 0 6.053 * * * [progress]: adding candidates to table 7.406 * * [progress]: iteration 2 / 4 7.406 * * * [progress]: picking best candidate 7.439 * * * * [pick]: Picked # 7.439 * * * [progress]: localizing error 7.457 * * * [progress]: generating rewritten candidates 7.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.822 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.985 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.084 * * * [progress]: generating series expansions 8.084 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.085 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 8.085 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (b a) around 0 8.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 8.085 * [taylor]: Taking taylor expansion of 0.5 in a 8.085 * [backup-simplify]: Simplify 0.5 into 0.5 8.085 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 8.085 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 8.085 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 8.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 8.085 * [taylor]: Taking taylor expansion of 1.0 in a 8.085 * [backup-simplify]: Simplify 1.0 into 1.0 8.085 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.085 * [taylor]: Taking taylor expansion of a in a 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [backup-simplify]: Simplify (/ 1 1) into 1 8.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 8.085 * [taylor]: Taking taylor expansion of 1.0 in a 8.085 * [backup-simplify]: Simplify 1.0 into 1.0 8.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.085 * [taylor]: Taking taylor expansion of b in a 8.085 * [backup-simplify]: Simplify b into b 8.086 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.086 * [taylor]: Taking taylor expansion of PI in a 8.086 * [backup-simplify]: Simplify PI into PI 8.086 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 8.086 * [taylor]: Taking taylor expansion of (- b a) in a 8.086 * [taylor]: Taking taylor expansion of b in a 8.086 * [backup-simplify]: Simplify b into b 8.086 * [taylor]: Taking taylor expansion of a in a 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of (+ a b) in a 8.086 * [taylor]: Taking taylor expansion of a in a 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [taylor]: Taking taylor expansion of b in a 8.086 * [backup-simplify]: Simplify b into b 8.086 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.086 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.087 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 8.087 * [backup-simplify]: Simplify (- 0) into 0 8.087 * [backup-simplify]: Simplify (+ b 0) into b 8.087 * [backup-simplify]: Simplify (+ 0 b) into b 8.087 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.088 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 8.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 8.088 * [taylor]: Taking taylor expansion of 0.5 in b 8.088 * [backup-simplify]: Simplify 0.5 into 0.5 8.088 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 8.088 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 8.088 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 8.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 8.088 * [taylor]: Taking taylor expansion of 1.0 in b 8.088 * [backup-simplify]: Simplify 1.0 into 1.0 8.088 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.088 * [taylor]: Taking taylor expansion of a in b 8.088 * [backup-simplify]: Simplify a into a 8.088 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.088 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 8.088 * [taylor]: Taking taylor expansion of 1.0 in b 8.088 * [backup-simplify]: Simplify 1.0 into 1.0 8.088 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.088 * [taylor]: Taking taylor expansion of b in b 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [backup-simplify]: Simplify (/ 1 1) into 1 8.088 * [taylor]: Taking taylor expansion of PI in b 8.088 * [backup-simplify]: Simplify PI into PI 8.088 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.088 * [taylor]: Taking taylor expansion of (- b a) in b 8.088 * [taylor]: Taking taylor expansion of b in b 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.088 * [taylor]: Taking taylor expansion of a in b 8.088 * [backup-simplify]: Simplify a into a 8.088 * [taylor]: Taking taylor expansion of (+ a b) in b 8.088 * [taylor]: Taking taylor expansion of a in b 8.088 * [backup-simplify]: Simplify a into a 8.088 * [taylor]: Taking taylor expansion of b in b 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.089 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.090 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.090 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 8.090 * [backup-simplify]: Simplify (- a) into (- a) 8.090 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.090 * [backup-simplify]: Simplify (+ a 0) into a 8.090 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.091 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 8.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 8.091 * [taylor]: Taking taylor expansion of 0.5 in b 8.091 * [backup-simplify]: Simplify 0.5 into 0.5 8.091 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 8.091 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 8.091 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 8.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 8.091 * [taylor]: Taking taylor expansion of 1.0 in b 8.091 * [backup-simplify]: Simplify 1.0 into 1.0 8.091 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.091 * [taylor]: Taking taylor expansion of a in b 8.091 * [backup-simplify]: Simplify a into a 8.091 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 8.091 * [taylor]: Taking taylor expansion of 1.0 in b 8.091 * [backup-simplify]: Simplify 1.0 into 1.0 8.091 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.091 * [taylor]: Taking taylor expansion of b in b 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (/ 1 1) into 1 8.091 * [taylor]: Taking taylor expansion of PI in b 8.091 * [backup-simplify]: Simplify PI into PI 8.091 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.091 * [taylor]: Taking taylor expansion of (- b a) in b 8.091 * [taylor]: Taking taylor expansion of b in b 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [taylor]: Taking taylor expansion of a in b 8.091 * [backup-simplify]: Simplify a into a 8.091 * [taylor]: Taking taylor expansion of (+ a b) in b 8.091 * [taylor]: Taking taylor expansion of a in b 8.092 * [backup-simplify]: Simplify a into a 8.092 * [taylor]: Taking taylor expansion of b in b 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.092 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.093 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.093 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 8.093 * [backup-simplify]: Simplify (- a) into (- a) 8.093 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.093 * [backup-simplify]: Simplify (+ a 0) into a 8.093 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.094 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 8.094 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 8.094 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.094 * [taylor]: Taking taylor expansion of 0.5 in a 8.094 * [backup-simplify]: Simplify 0.5 into 0.5 8.094 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.094 * [taylor]: Taking taylor expansion of PI in a 8.094 * [backup-simplify]: Simplify PI into PI 8.094 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.094 * [taylor]: Taking taylor expansion of a in a 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 1 into 1 8.095 * [backup-simplify]: Simplify (* 1 1) into 1 8.095 * [backup-simplify]: Simplify (/ PI 1) into PI 8.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.097 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.099 * [backup-simplify]: Simplify (- 0) into 0 8.100 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 8.100 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 8.101 * [backup-simplify]: Simplify (+ 0 1) into 1 8.101 * [backup-simplify]: Simplify (- 0) into 0 8.102 * [backup-simplify]: Simplify (+ 1 0) into 1 8.102 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 8.102 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 8.103 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 8.103 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 8.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 8.103 * [taylor]: Taking taylor expansion of 0.5 in a 8.103 * [backup-simplify]: Simplify 0.5 into 0.5 8.103 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.103 * [taylor]: Taking taylor expansion of PI in a 8.103 * [backup-simplify]: Simplify PI into PI 8.103 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.103 * [taylor]: Taking taylor expansion of a in a 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (* 1 1) into 1 8.104 * [backup-simplify]: Simplify (* 1 1) into 1 8.105 * [backup-simplify]: Simplify (/ PI 1) into PI 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.111 * [backup-simplify]: Simplify (- 0) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.114 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 8.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.117 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.118 * [backup-simplify]: Simplify (- 0) into 0 8.118 * [backup-simplify]: Simplify (+ 0 0) into 0 8.119 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 8.120 * [backup-simplify]: Simplify (+ 0 0) into 0 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.120 * [backup-simplify]: Simplify (+ 0 0) into 0 8.120 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 8.121 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 8.121 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 8.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 8.121 * [taylor]: Taking taylor expansion of 0.5 in a 8.122 * [backup-simplify]: Simplify 0.5 into 0.5 8.122 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 8.122 * [taylor]: Taking taylor expansion of PI in a 8.122 * [backup-simplify]: Simplify PI into PI 8.122 * [taylor]: Taking taylor expansion of (pow a 4) in a 8.122 * [taylor]: Taking taylor expansion of a in a 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (* 1 1) into 1 8.122 * [backup-simplify]: Simplify (* 1 1) into 1 8.122 * [backup-simplify]: Simplify (/ PI 1) into PI 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.131 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 8.133 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 8.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 8.133 * [taylor]: Taking taylor expansion of 0.5 in a 8.133 * [backup-simplify]: Simplify 0.5 into 0.5 8.133 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 8.133 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 8.133 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 8.133 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.133 * [taylor]: Taking taylor expansion of 1.0 in a 8.133 * [backup-simplify]: Simplify 1.0 into 1.0 8.133 * [taylor]: Taking taylor expansion of a in a 8.133 * [backup-simplify]: Simplify 0 into 0 8.133 * [backup-simplify]: Simplify 1 into 1 8.133 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.134 * [taylor]: Taking taylor expansion of 1.0 in a 8.134 * [backup-simplify]: Simplify 1.0 into 1.0 8.134 * [taylor]: Taking taylor expansion of b in a 8.134 * [backup-simplify]: Simplify b into b 8.134 * [taylor]: Taking taylor expansion of PI in a 8.134 * [backup-simplify]: Simplify PI into PI 8.134 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 8.134 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.134 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.134 * [taylor]: Taking taylor expansion of b in a 8.134 * [backup-simplify]: Simplify b into b 8.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.134 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.134 * [taylor]: Taking taylor expansion of a in a 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (/ 1 1) into 1 8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.134 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.134 * [taylor]: Taking taylor expansion of a in a 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 1 into 1 8.134 * [backup-simplify]: Simplify (/ 1 1) into 1 8.134 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.134 * [taylor]: Taking taylor expansion of b in a 8.134 * [backup-simplify]: Simplify b into b 8.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.135 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.135 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 8.135 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 8.135 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 8.135 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 8.135 * [backup-simplify]: Simplify (- 1) into -1 8.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.136 * [backup-simplify]: Simplify (+ 1 0) into 1 8.136 * [backup-simplify]: Simplify (* -1 1) into -1 8.136 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 8.136 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.136 * [taylor]: Taking taylor expansion of 0.5 in b 8.136 * [backup-simplify]: Simplify 0.5 into 0.5 8.136 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.136 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 8.136 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 8.136 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.136 * [taylor]: Taking taylor expansion of 1.0 in b 8.136 * [backup-simplify]: Simplify 1.0 into 1.0 8.136 * [taylor]: Taking taylor expansion of a in b 8.136 * [backup-simplify]: Simplify a into a 8.136 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.136 * [taylor]: Taking taylor expansion of 1.0 in b 8.136 * [backup-simplify]: Simplify 1.0 into 1.0 8.136 * [taylor]: Taking taylor expansion of b in b 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 1 into 1 8.136 * [taylor]: Taking taylor expansion of PI in b 8.136 * [backup-simplify]: Simplify PI into PI 8.136 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.136 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.136 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.137 * [taylor]: Taking taylor expansion of b in b 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [backup-simplify]: Simplify (/ 1 1) into 1 8.137 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.137 * [taylor]: Taking taylor expansion of a in b 8.137 * [backup-simplify]: Simplify a into a 8.137 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.137 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.137 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.137 * [taylor]: Taking taylor expansion of a in b 8.137 * [backup-simplify]: Simplify a into a 8.137 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.137 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.137 * [taylor]: Taking taylor expansion of b in b 8.137 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify 1 into 1 8.137 * [backup-simplify]: Simplify (/ 1 1) into 1 8.137 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 8.138 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.138 * [backup-simplify]: Simplify (- 0) into 0 8.138 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 8.138 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 8.138 * [backup-simplify]: Simplify (+ 1 0) into 1 8.138 * [backup-simplify]: Simplify (+ 0 1) into 1 8.139 * [backup-simplify]: Simplify (* 1 1) into 1 8.139 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 8.139 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.139 * [taylor]: Taking taylor expansion of 0.5 in b 8.139 * [backup-simplify]: Simplify 0.5 into 0.5 8.139 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.139 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 8.139 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 8.139 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.139 * [taylor]: Taking taylor expansion of 1.0 in b 8.139 * [backup-simplify]: Simplify 1.0 into 1.0 8.139 * [taylor]: Taking taylor expansion of a in b 8.139 * [backup-simplify]: Simplify a into a 8.139 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.139 * [taylor]: Taking taylor expansion of 1.0 in b 8.139 * [backup-simplify]: Simplify 1.0 into 1.0 8.139 * [taylor]: Taking taylor expansion of b in b 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of PI in b 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.139 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.139 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.139 * [taylor]: Taking taylor expansion of b in b 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.140 * [taylor]: Taking taylor expansion of a in b 8.140 * [backup-simplify]: Simplify a into a 8.140 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.140 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.140 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.140 * [taylor]: Taking taylor expansion of a in b 8.140 * [backup-simplify]: Simplify a into a 8.140 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.140 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.140 * [taylor]: Taking taylor expansion of b in b 8.140 * [backup-simplify]: Simplify 0 into 0 8.140 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 8.140 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.141 * [backup-simplify]: Simplify (- 0) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 8.141 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 8.141 * [backup-simplify]: Simplify (+ 1 0) into 1 8.141 * [backup-simplify]: Simplify (+ 0 1) into 1 8.141 * [backup-simplify]: Simplify (* 1 1) into 1 8.141 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 8.142 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 8.142 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 8.142 * [taylor]: Taking taylor expansion of 0.5 in a 8.142 * [backup-simplify]: Simplify 0.5 into 0.5 8.142 * [taylor]: Taking taylor expansion of (* a PI) in a 8.142 * [taylor]: Taking taylor expansion of a in a 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [taylor]: Taking taylor expansion of PI in a 8.142 * [backup-simplify]: Simplify PI into PI 8.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.153 * [backup-simplify]: Simplify (* 0 PI) into 0 8.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 8.156 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.156 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.157 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.158 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.159 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.160 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.160 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 8.162 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 8.163 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 8.163 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 8.163 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.163 * [taylor]: Taking taylor expansion of 0.5 in a 8.164 * [backup-simplify]: Simplify 0.5 into 0.5 8.164 * [taylor]: Taking taylor expansion of PI in a 8.164 * [backup-simplify]: Simplify PI into PI 8.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.164 * [backup-simplify]: Simplify (- 0) into 0 8.164 * [backup-simplify]: Simplify 0 into 0 8.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.167 * [backup-simplify]: Simplify (- 0) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 8.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (+ 0 0) into 0 8.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.170 * [backup-simplify]: Simplify (- 0) into 0 8.170 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 8.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 8.172 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 8.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.172 * [taylor]: Taking taylor expansion of 0.5 in a 8.172 * [backup-simplify]: Simplify 0.5 into 0.5 8.172 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.172 * [taylor]: Taking taylor expansion of PI in a 8.172 * [backup-simplify]: Simplify PI into PI 8.172 * [taylor]: Taking taylor expansion of a in a 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (/ PI 1) into PI 8.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.176 * [backup-simplify]: Simplify (- 0) into 0 8.176 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 8.178 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 8.178 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 8.178 * [taylor]: Taking taylor expansion of -0.5 in a 8.178 * [backup-simplify]: Simplify -0.5 into -0.5 8.178 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 8.178 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 8.178 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 8.178 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.178 * [taylor]: Taking taylor expansion of 1.0 in a 8.178 * [backup-simplify]: Simplify 1.0 into 1.0 8.178 * [taylor]: Taking taylor expansion of b in a 8.179 * [backup-simplify]: Simplify b into b 8.179 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.179 * [taylor]: Taking taylor expansion of 1.0 in a 8.179 * [backup-simplify]: Simplify 1.0 into 1.0 8.179 * [taylor]: Taking taylor expansion of a in a 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [taylor]: Taking taylor expansion of PI in a 8.179 * [backup-simplify]: Simplify PI into PI 8.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.179 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.179 * [taylor]: Taking taylor expansion of a in a 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (/ 1 1) into 1 8.179 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.179 * [taylor]: Taking taylor expansion of b in a 8.179 * [backup-simplify]: Simplify b into b 8.179 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.179 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.179 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.179 * [taylor]: Taking taylor expansion of a in a 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.179 * [backup-simplify]: Simplify (/ 1 1) into 1 8.179 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.179 * [taylor]: Taking taylor expansion of b in a 8.179 * [backup-simplify]: Simplify b into b 8.180 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.180 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 8.180 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.180 * [backup-simplify]: Simplify (- 0) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 8.180 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 8.180 * [backup-simplify]: Simplify (+ 1 0) into 1 8.181 * [backup-simplify]: Simplify (+ 1 0) into 1 8.181 * [backup-simplify]: Simplify (* 1 1) into 1 8.181 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 8.181 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 8.181 * [taylor]: Taking taylor expansion of -0.5 in b 8.181 * [backup-simplify]: Simplify -0.5 into -0.5 8.181 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 8.181 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 8.181 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 8.181 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.181 * [taylor]: Taking taylor expansion of 1.0 in b 8.181 * [backup-simplify]: Simplify 1.0 into 1.0 8.181 * [taylor]: Taking taylor expansion of b in b 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.181 * [taylor]: Taking taylor expansion of 1.0 in b 8.181 * [backup-simplify]: Simplify 1.0 into 1.0 8.181 * [taylor]: Taking taylor expansion of a in b 8.181 * [backup-simplify]: Simplify a into a 8.181 * [taylor]: Taking taylor expansion of PI in b 8.181 * [backup-simplify]: Simplify PI into PI 8.181 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 8.181 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.181 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.181 * [taylor]: Taking taylor expansion of a in b 8.182 * [backup-simplify]: Simplify a into a 8.182 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.182 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.182 * [taylor]: Taking taylor expansion of b in b 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.182 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.182 * [taylor]: Taking taylor expansion of a in b 8.182 * [backup-simplify]: Simplify a into a 8.182 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.182 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.182 * [taylor]: Taking taylor expansion of b in b 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.183 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 8.183 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 8.183 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 8.183 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 8.183 * [backup-simplify]: Simplify (+ 0 1) into 1 8.183 * [backup-simplify]: Simplify (- 1) into -1 8.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.184 * [backup-simplify]: Simplify (* 1 -1) into -1 8.184 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 8.184 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 8.184 * [taylor]: Taking taylor expansion of -0.5 in b 8.184 * [backup-simplify]: Simplify -0.5 into -0.5 8.184 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 8.184 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 8.184 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 8.184 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.184 * [taylor]: Taking taylor expansion of 1.0 in b 8.184 * [backup-simplify]: Simplify 1.0 into 1.0 8.184 * [taylor]: Taking taylor expansion of b in b 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.184 * [taylor]: Taking taylor expansion of 1.0 in b 8.184 * [backup-simplify]: Simplify 1.0 into 1.0 8.184 * [taylor]: Taking taylor expansion of a in b 8.184 * [backup-simplify]: Simplify a into a 8.184 * [taylor]: Taking taylor expansion of PI in b 8.184 * [backup-simplify]: Simplify PI into PI 8.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 8.184 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.184 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.184 * [taylor]: Taking taylor expansion of a in b 8.184 * [backup-simplify]: Simplify a into a 8.184 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.184 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.184 * [taylor]: Taking taylor expansion of b in b 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.185 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.185 * [taylor]: Taking taylor expansion of a in b 8.185 * [backup-simplify]: Simplify a into a 8.185 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.185 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.185 * [taylor]: Taking taylor expansion of b in b 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ 1 1) into 1 8.185 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.185 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 8.185 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 8.185 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 8.186 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 8.186 * [backup-simplify]: Simplify (+ 0 1) into 1 8.186 * [backup-simplify]: Simplify (- 1) into -1 8.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.187 * [backup-simplify]: Simplify (* 1 -1) into -1 8.187 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 8.187 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 8.187 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 8.187 * [taylor]: Taking taylor expansion of -0.5 in a 8.187 * [backup-simplify]: Simplify -0.5 into -0.5 8.187 * [taylor]: Taking taylor expansion of (* a PI) in a 8.187 * [taylor]: Taking taylor expansion of a in a 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [taylor]: Taking taylor expansion of PI in a 8.187 * [backup-simplify]: Simplify PI into PI 8.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.189 * [backup-simplify]: Simplify (* 0 PI) into 0 8.189 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 8.189 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 8.191 * [backup-simplify]: Simplify (- 0) into 0 8.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.192 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.194 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.195 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 8.196 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 8.198 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 8.198 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.198 * [taylor]: Taking taylor expansion of 0.5 in a 8.198 * [backup-simplify]: Simplify 0.5 into 0.5 8.198 * [taylor]: Taking taylor expansion of PI in a 8.198 * [backup-simplify]: Simplify PI into PI 8.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.199 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.202 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 8.204 * [backup-simplify]: Simplify (- 0) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.205 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 8.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (- 0) into 0 8.207 * [backup-simplify]: Simplify (+ 0 0) into 0 8.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 8.211 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 8.212 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 8.212 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 8.212 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.212 * [taylor]: Taking taylor expansion of 0.5 in a 8.212 * [backup-simplify]: Simplify 0.5 into 0.5 8.212 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.212 * [taylor]: Taking taylor expansion of PI in a 8.213 * [backup-simplify]: Simplify PI into PI 8.213 * [taylor]: Taking taylor expansion of a in a 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (/ PI 1) into PI 8.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.218 * [backup-simplify]: Simplify (- 0) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.222 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * [backup-simplify]: Simplify 0 into 0 8.222 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.223 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 8.223 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 8.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 8.223 * [taylor]: Taking taylor expansion of 0.5 in a 8.223 * [backup-simplify]: Simplify 0.5 into 0.5 8.223 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.223 * [taylor]: Taking taylor expansion of PI in a 8.223 * [backup-simplify]: Simplify PI into PI 8.223 * [taylor]: Taking taylor expansion of (+ a b) in a 8.223 * [taylor]: Taking taylor expansion of a in a 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [taylor]: Taking taylor expansion of b in a 8.223 * [backup-simplify]: Simplify b into b 8.223 * [backup-simplify]: Simplify (+ 0 b) into b 8.224 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 8.224 * [taylor]: Taking taylor expansion of 0.5 in b 8.224 * [backup-simplify]: Simplify 0.5 into 0.5 8.224 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.224 * [taylor]: Taking taylor expansion of PI in b 8.224 * [backup-simplify]: Simplify PI into PI 8.224 * [taylor]: Taking taylor expansion of (+ a b) in b 8.224 * [taylor]: Taking taylor expansion of a in b 8.224 * [backup-simplify]: Simplify a into a 8.224 * [taylor]: Taking taylor expansion of b in b 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (+ a 0) into a 8.224 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 8.224 * [taylor]: Taking taylor expansion of 0.5 in b 8.224 * [backup-simplify]: Simplify 0.5 into 0.5 8.224 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.224 * [taylor]: Taking taylor expansion of PI in b 8.224 * [backup-simplify]: Simplify PI into PI 8.224 * [taylor]: Taking taylor expansion of (+ a b) in b 8.224 * [taylor]: Taking taylor expansion of a in b 8.224 * [backup-simplify]: Simplify a into a 8.224 * [taylor]: Taking taylor expansion of b in b 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (+ a 0) into a 8.224 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.225 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 8.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.225 * [taylor]: Taking taylor expansion of 0.5 in a 8.225 * [backup-simplify]: Simplify 0.5 into 0.5 8.225 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.225 * [taylor]: Taking taylor expansion of PI in a 8.225 * [backup-simplify]: Simplify PI into PI 8.225 * [taylor]: Taking taylor expansion of a in a 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (/ PI 1) into PI 8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.227 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify (+ 0 1) into 1 8.227 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 8.227 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 8.227 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 8.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.227 * [taylor]: Taking taylor expansion of 0.5 in a 8.227 * [backup-simplify]: Simplify 0.5 into 0.5 8.228 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.228 * [taylor]: Taking taylor expansion of PI in a 8.228 * [backup-simplify]: Simplify PI into PI 8.228 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.228 * [taylor]: Taking taylor expansion of a in a 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.228 * [backup-simplify]: Simplify (* 1 1) into 1 8.228 * [backup-simplify]: Simplify (/ PI 1) into PI 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.231 * [backup-simplify]: Simplify (- 0) into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 8.233 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 8.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 8.233 * [taylor]: Taking taylor expansion of 0.5 in a 8.233 * [backup-simplify]: Simplify 0.5 into 0.5 8.233 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.233 * [taylor]: Taking taylor expansion of PI in a 8.233 * [backup-simplify]: Simplify PI into PI 8.233 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.233 * [taylor]: Taking taylor expansion of a in a 8.233 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify 1 into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (* 1 1) into 1 8.234 * [backup-simplify]: Simplify (/ PI 1) into PI 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.243 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.243 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.243 * [taylor]: Taking taylor expansion of 0.5 in a 8.243 * [backup-simplify]: Simplify 0.5 into 0.5 8.244 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.244 * [taylor]: Taking taylor expansion of PI in a 8.244 * [backup-simplify]: Simplify PI into PI 8.244 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.244 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.244 * [taylor]: Taking taylor expansion of a in a 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (/ 1 1) into 1 8.244 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.244 * [taylor]: Taking taylor expansion of b in a 8.244 * [backup-simplify]: Simplify b into b 8.244 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.244 * [backup-simplify]: Simplify (+ 1 0) into 1 8.245 * [backup-simplify]: Simplify (/ PI 1) into PI 8.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.245 * [taylor]: Taking taylor expansion of 0.5 in b 8.245 * [backup-simplify]: Simplify 0.5 into 0.5 8.245 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.245 * [taylor]: Taking taylor expansion of PI in b 8.245 * [backup-simplify]: Simplify PI into PI 8.245 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.245 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.245 * [taylor]: Taking taylor expansion of a in b 8.245 * [backup-simplify]: Simplify a into a 8.245 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.245 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.245 * [taylor]: Taking taylor expansion of b in b 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ 1 1) into 1 8.245 * [backup-simplify]: Simplify (+ 0 1) into 1 8.246 * [backup-simplify]: Simplify (/ PI 1) into PI 8.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.246 * [taylor]: Taking taylor expansion of 0.5 in b 8.246 * [backup-simplify]: Simplify 0.5 into 0.5 8.246 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.246 * [taylor]: Taking taylor expansion of PI in b 8.246 * [backup-simplify]: Simplify PI into PI 8.246 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.246 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.246 * [taylor]: Taking taylor expansion of a in b 8.246 * [backup-simplify]: Simplify a into a 8.246 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.246 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.246 * [taylor]: Taking taylor expansion of b in b 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [backup-simplify]: Simplify (/ 1 1) into 1 8.246 * [backup-simplify]: Simplify (+ 0 1) into 1 8.247 * [backup-simplify]: Simplify (/ PI 1) into PI 8.247 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 8.247 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.247 * [taylor]: Taking taylor expansion of 0.5 in a 8.247 * [backup-simplify]: Simplify 0.5 into 0.5 8.247 * [taylor]: Taking taylor expansion of PI in a 8.247 * [backup-simplify]: Simplify PI into PI 8.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.248 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.249 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 8.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 8.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.249 * [taylor]: Taking taylor expansion of 0.5 in a 8.249 * [backup-simplify]: Simplify 0.5 into 0.5 8.249 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.249 * [taylor]: Taking taylor expansion of PI in a 8.249 * [backup-simplify]: Simplify PI into PI 8.249 * [taylor]: Taking taylor expansion of a in a 8.249 * [backup-simplify]: Simplify 0 into 0 8.249 * [backup-simplify]: Simplify 1 into 1 8.249 * [backup-simplify]: Simplify (/ PI 1) into PI 8.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.251 * [backup-simplify]: Simplify (- 0) into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.254 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 8.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.254 * [taylor]: Taking taylor expansion of 0.5 in a 8.254 * [backup-simplify]: Simplify 0.5 into 0.5 8.254 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.254 * [taylor]: Taking taylor expansion of PI in a 8.254 * [backup-simplify]: Simplify PI into PI 8.254 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.254 * [taylor]: Taking taylor expansion of a in a 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify 1 into 1 8.255 * [backup-simplify]: Simplify (* 1 1) into 1 8.255 * [backup-simplify]: Simplify (/ PI 1) into PI 8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.273 * [backup-simplify]: Simplify (- 0) into 0 8.273 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.273 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.274 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.274 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.274 * [taylor]: Taking taylor expansion of -0.5 in a 8.274 * [backup-simplify]: Simplify -0.5 into -0.5 8.274 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.274 * [taylor]: Taking taylor expansion of PI in a 8.274 * [backup-simplify]: Simplify PI into PI 8.274 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.274 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.274 * [taylor]: Taking taylor expansion of a in a 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (/ 1 1) into 1 8.274 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.274 * [taylor]: Taking taylor expansion of b in a 8.275 * [backup-simplify]: Simplify b into b 8.275 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.275 * [backup-simplify]: Simplify (+ 1 0) into 1 8.275 * [backup-simplify]: Simplify (/ PI 1) into PI 8.275 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.275 * [taylor]: Taking taylor expansion of -0.5 in b 8.275 * [backup-simplify]: Simplify -0.5 into -0.5 8.275 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.275 * [taylor]: Taking taylor expansion of PI in b 8.275 * [backup-simplify]: Simplify PI into PI 8.275 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.275 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.275 * [taylor]: Taking taylor expansion of a in b 8.275 * [backup-simplify]: Simplify a into a 8.275 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.275 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.275 * [taylor]: Taking taylor expansion of b in b 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.276 * [backup-simplify]: Simplify (/ 1 1) into 1 8.276 * [backup-simplify]: Simplify (+ 0 1) into 1 8.276 * [backup-simplify]: Simplify (/ PI 1) into PI 8.276 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.276 * [taylor]: Taking taylor expansion of -0.5 in b 8.276 * [backup-simplify]: Simplify -0.5 into -0.5 8.276 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.276 * [taylor]: Taking taylor expansion of PI in b 8.276 * [backup-simplify]: Simplify PI into PI 8.276 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.276 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.276 * [taylor]: Taking taylor expansion of a in b 8.276 * [backup-simplify]: Simplify a into a 8.277 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.277 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.277 * [taylor]: Taking taylor expansion of b in b 8.277 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify 1 into 1 8.277 * [backup-simplify]: Simplify (/ 1 1) into 1 8.277 * [backup-simplify]: Simplify (+ 0 1) into 1 8.277 * [backup-simplify]: Simplify (/ PI 1) into PI 8.278 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 8.278 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 8.278 * [taylor]: Taking taylor expansion of -0.5 in a 8.278 * [backup-simplify]: Simplify -0.5 into -0.5 8.278 * [taylor]: Taking taylor expansion of PI in a 8.278 * [backup-simplify]: Simplify PI into PI 8.278 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 8.278 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.280 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 8.280 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.280 * [taylor]: Taking taylor expansion of 0.5 in a 8.280 * [backup-simplify]: Simplify 0.5 into 0.5 8.280 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.280 * [taylor]: Taking taylor expansion of PI in a 8.280 * [backup-simplify]: Simplify PI into PI 8.280 * [taylor]: Taking taylor expansion of a in a 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (/ PI 1) into PI 8.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.283 * [backup-simplify]: Simplify (+ 0 0) into 0 8.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.285 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 8.285 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 8.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.285 * [taylor]: Taking taylor expansion of 0.5 in a 8.285 * [backup-simplify]: Simplify 0.5 into 0.5 8.285 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.285 * [taylor]: Taking taylor expansion of PI in a 8.285 * [backup-simplify]: Simplify PI into PI 8.285 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.285 * [taylor]: Taking taylor expansion of a in a 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [backup-simplify]: Simplify (* 1 1) into 1 8.285 * [backup-simplify]: Simplify (/ PI 1) into PI 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.289 * [backup-simplify]: Simplify (- 0) into 0 8.289 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.292 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (- b a) (+ a b)))) 8.292 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in (b a) around 0 8.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in a 8.292 * [taylor]: Taking taylor expansion of 0.5 in a 8.292 * [backup-simplify]: Simplify 0.5 into 0.5 8.292 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in a 8.292 * [taylor]: Taking taylor expansion of PI in a 8.292 * [backup-simplify]: Simplify PI into PI 8.292 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 8.292 * [taylor]: Taking taylor expansion of (- b a) in a 8.292 * [taylor]: Taking taylor expansion of b in a 8.292 * [backup-simplify]: Simplify b into b 8.292 * [taylor]: Taking taylor expansion of a in a 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [taylor]: Taking taylor expansion of (+ a b) in a 8.292 * [taylor]: Taking taylor expansion of a in a 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [taylor]: Taking taylor expansion of b in a 8.292 * [backup-simplify]: Simplify b into b 8.293 * [backup-simplify]: Simplify (- 0) into 0 8.293 * [backup-simplify]: Simplify (+ b 0) into b 8.293 * [backup-simplify]: Simplify (+ 0 b) into b 8.293 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.293 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 8.293 * [taylor]: Taking taylor expansion of 0.5 in b 8.293 * [backup-simplify]: Simplify 0.5 into 0.5 8.293 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 8.293 * [taylor]: Taking taylor expansion of PI in b 8.293 * [backup-simplify]: Simplify PI into PI 8.293 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.293 * [taylor]: Taking taylor expansion of (- b a) in b 8.293 * [taylor]: Taking taylor expansion of b in b 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [taylor]: Taking taylor expansion of a in b 8.293 * [backup-simplify]: Simplify a into a 8.293 * [taylor]: Taking taylor expansion of (+ a b) in b 8.293 * [taylor]: Taking taylor expansion of a in b 8.293 * [backup-simplify]: Simplify a into a 8.293 * [taylor]: Taking taylor expansion of b in b 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [backup-simplify]: Simplify (- a) into (- a) 8.293 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.293 * [backup-simplify]: Simplify (+ a 0) into a 8.293 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.293 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 8.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 8.293 * [taylor]: Taking taylor expansion of 0.5 in b 8.293 * [backup-simplify]: Simplify 0.5 into 0.5 8.293 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 8.293 * [taylor]: Taking taylor expansion of PI in b 8.293 * [backup-simplify]: Simplify PI into PI 8.293 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.294 * [taylor]: Taking taylor expansion of (- b a) in b 8.294 * [taylor]: Taking taylor expansion of b in b 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [taylor]: Taking taylor expansion of a in b 8.294 * [backup-simplify]: Simplify a into a 8.294 * [taylor]: Taking taylor expansion of (+ a b) in b 8.294 * [taylor]: Taking taylor expansion of a in b 8.294 * [backup-simplify]: Simplify a into a 8.294 * [taylor]: Taking taylor expansion of b in b 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (- a) into (- a) 8.294 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.294 * [backup-simplify]: Simplify (+ a 0) into a 8.294 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.294 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 8.294 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 8.294 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 8.294 * [taylor]: Taking taylor expansion of -0.5 in a 8.294 * [backup-simplify]: Simplify -0.5 into -0.5 8.294 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.294 * [taylor]: Taking taylor expansion of PI in a 8.294 * [backup-simplify]: Simplify PI into PI 8.294 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.294 * [taylor]: Taking taylor expansion of a in a 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (* 1 1) into 1 8.295 * [backup-simplify]: Simplify (/ PI 1) into PI 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.297 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.297 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify (+ 0 1) into 1 8.298 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify (+ 1 0) into 1 8.298 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into 0 8.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 8.300 * [taylor]: Taking taylor expansion of 0 in a 8.300 * [backup-simplify]: Simplify 0 into 0 8.300 * [backup-simplify]: Simplify 0 into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ 0 0) into 0 8.304 * [backup-simplify]: Simplify (- 0) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 8.306 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* 0 (/ 0 (* -1 (pow a 2)))))) into (- (/ PI (pow a 4))) 8.307 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 8.307 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 8.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 8.307 * [taylor]: Taking taylor expansion of 0.5 in a 8.307 * [backup-simplify]: Simplify 0.5 into 0.5 8.307 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 8.307 * [taylor]: Taking taylor expansion of PI in a 8.307 * [backup-simplify]: Simplify PI into PI 8.307 * [taylor]: Taking taylor expansion of (pow a 4) in a 8.307 * [taylor]: Taking taylor expansion of a in a 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (* 1 1) into 1 8.309 * [backup-simplify]: Simplify (/ PI 1) into PI 8.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.318 * [backup-simplify]: Simplify (- 0) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 8.321 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 8.321 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 8.321 * [taylor]: Taking taylor expansion of 0.5 in a 8.321 * [backup-simplify]: Simplify 0.5 into 0.5 8.321 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 8.321 * [taylor]: Taking taylor expansion of PI in a 8.321 * [backup-simplify]: Simplify PI into PI 8.321 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 8.321 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.321 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.321 * [taylor]: Taking taylor expansion of b in a 8.321 * [backup-simplify]: Simplify b into b 8.321 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.321 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.321 * [taylor]: Taking taylor expansion of a in a 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (/ 1 1) into 1 8.322 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.322 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.322 * [taylor]: Taking taylor expansion of a in a 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (/ 1 1) into 1 8.322 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.322 * [taylor]: Taking taylor expansion of b in a 8.322 * [backup-simplify]: Simplify b into b 8.322 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.322 * [backup-simplify]: Simplify (- 1) into -1 8.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.323 * [backup-simplify]: Simplify (+ 1 0) into 1 8.323 * [backup-simplify]: Simplify (* -1 1) into -1 8.323 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.323 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.323 * [taylor]: Taking taylor expansion of 0.5 in b 8.323 * [backup-simplify]: Simplify 0.5 into 0.5 8.323 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.323 * [taylor]: Taking taylor expansion of PI in b 8.323 * [backup-simplify]: Simplify PI into PI 8.323 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.323 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.323 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.323 * [taylor]: Taking taylor expansion of b in b 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 1 into 1 8.324 * [backup-simplify]: Simplify (/ 1 1) into 1 8.324 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.324 * [taylor]: Taking taylor expansion of a in b 8.324 * [backup-simplify]: Simplify a into a 8.324 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.324 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.324 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.324 * [taylor]: Taking taylor expansion of a in b 8.324 * [backup-simplify]: Simplify a into a 8.324 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.324 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.324 * [taylor]: Taking taylor expansion of b in b 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 1 into 1 8.324 * [backup-simplify]: Simplify (/ 1 1) into 1 8.324 * [backup-simplify]: Simplify (+ 1 0) into 1 8.325 * [backup-simplify]: Simplify (+ 0 1) into 1 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify (/ PI 1) into PI 8.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.325 * [taylor]: Taking taylor expansion of 0.5 in b 8.325 * [backup-simplify]: Simplify 0.5 into 0.5 8.325 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.325 * [taylor]: Taking taylor expansion of PI in b 8.325 * [backup-simplify]: Simplify PI into PI 8.325 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.325 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.325 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.325 * [taylor]: Taking taylor expansion of b in b 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (/ 1 1) into 1 8.326 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.326 * [taylor]: Taking taylor expansion of a in b 8.326 * [backup-simplify]: Simplify a into a 8.326 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.326 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.326 * [taylor]: Taking taylor expansion of a in b 8.326 * [backup-simplify]: Simplify a into a 8.326 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.326 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.326 * [taylor]: Taking taylor expansion of b in b 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (/ 1 1) into 1 8.326 * [backup-simplify]: Simplify (+ 1 0) into 1 8.327 * [backup-simplify]: Simplify (+ 0 1) into 1 8.327 * [backup-simplify]: Simplify (* 1 1) into 1 8.327 * [backup-simplify]: Simplify (/ PI 1) into PI 8.328 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 8.328 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.328 * [taylor]: Taking taylor expansion of 0.5 in a 8.328 * [backup-simplify]: Simplify 0.5 into 0.5 8.328 * [taylor]: Taking taylor expansion of PI in a 8.328 * [backup-simplify]: Simplify PI into PI 8.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.329 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.329 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.329 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.330 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 8.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.330 * [taylor]: Taking taylor expansion of 0 in a 8.330 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.332 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.333 * [backup-simplify]: Simplify (- 0) into 0 8.333 * [backup-simplify]: Simplify (+ 0 0) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 8.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 8.335 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 8.335 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.335 * [taylor]: Taking taylor expansion of 0.5 in a 8.335 * [backup-simplify]: Simplify 0.5 into 0.5 8.335 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.335 * [taylor]: Taking taylor expansion of PI in a 8.335 * [backup-simplify]: Simplify PI into PI 8.335 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.335 * [taylor]: Taking taylor expansion of a in a 8.335 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify 1 into 1 8.335 * [backup-simplify]: Simplify (* 1 1) into 1 8.336 * [backup-simplify]: Simplify (/ PI 1) into PI 8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 8.343 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 8.343 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 8.343 * [taylor]: Taking taylor expansion of -0.5 in a 8.343 * [backup-simplify]: Simplify -0.5 into -0.5 8.343 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 8.343 * [taylor]: Taking taylor expansion of PI in a 8.344 * [backup-simplify]: Simplify PI into PI 8.344 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 8.344 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.344 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.344 * [taylor]: Taking taylor expansion of a in a 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ 1 1) into 1 8.344 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.344 * [taylor]: Taking taylor expansion of b in a 8.344 * [backup-simplify]: Simplify b into b 8.344 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.344 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.344 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.344 * [taylor]: Taking taylor expansion of a in a 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.345 * [backup-simplify]: Simplify (/ 1 1) into 1 8.345 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.345 * [taylor]: Taking taylor expansion of b in a 8.345 * [backup-simplify]: Simplify b into b 8.345 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.345 * [backup-simplify]: Simplify (+ 1 0) into 1 8.346 * [backup-simplify]: Simplify (+ 1 0) into 1 8.346 * [backup-simplify]: Simplify (* 1 1) into 1 8.347 * [backup-simplify]: Simplify (/ PI 1) into PI 8.347 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 8.347 * [taylor]: Taking taylor expansion of -0.5 in b 8.347 * [backup-simplify]: Simplify -0.5 into -0.5 8.347 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 8.347 * [taylor]: Taking taylor expansion of PI in b 8.347 * [backup-simplify]: Simplify PI into PI 8.347 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 8.347 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.347 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.347 * [taylor]: Taking taylor expansion of a in b 8.347 * [backup-simplify]: Simplify a into a 8.347 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.347 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.347 * [taylor]: Taking taylor expansion of b in b 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (/ 1 1) into 1 8.348 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.348 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.348 * [taylor]: Taking taylor expansion of a in b 8.348 * [backup-simplify]: Simplify a into a 8.348 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.348 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.348 * [taylor]: Taking taylor expansion of b in b 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [backup-simplify]: Simplify (/ 1 1) into 1 8.349 * [backup-simplify]: Simplify (- 1) into -1 8.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.350 * [backup-simplify]: Simplify (+ 0 1) into 1 8.350 * [backup-simplify]: Simplify (* -1 1) into -1 8.350 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.350 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 8.350 * [taylor]: Taking taylor expansion of -0.5 in b 8.350 * [backup-simplify]: Simplify -0.5 into -0.5 8.350 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 8.350 * [taylor]: Taking taylor expansion of PI in b 8.350 * [backup-simplify]: Simplify PI into PI 8.350 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 8.350 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.350 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.350 * [taylor]: Taking taylor expansion of a in b 8.350 * [backup-simplify]: Simplify a into a 8.350 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.350 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.350 * [taylor]: Taking taylor expansion of b in b 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.351 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.351 * [taylor]: Taking taylor expansion of a in b 8.351 * [backup-simplify]: Simplify a into a 8.351 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.351 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.351 * [taylor]: Taking taylor expansion of b in b 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [backup-simplify]: Simplify (- 1) into -1 8.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.352 * [backup-simplify]: Simplify (+ 0 1) into 1 8.352 * [backup-simplify]: Simplify (* -1 1) into -1 8.352 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.353 * [backup-simplify]: Simplify (* -0.5 (* -1 PI)) into (* 0.5 PI) 8.353 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.353 * [taylor]: Taking taylor expansion of 0.5 in a 8.353 * [backup-simplify]: Simplify 0.5 into 0.5 8.353 * [taylor]: Taking taylor expansion of PI in a 8.353 * [backup-simplify]: Simplify PI into PI 8.354 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.354 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (- 0) into 0 8.355 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.355 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* (/ 1 a) 1)) into 0 8.356 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 8.356 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* -1 PI))) into 0 8.356 * [taylor]: Taking taylor expansion of 0 in a 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify (+ 0 0) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (- 0) into 0 8.359 * [backup-simplify]: Simplify (+ 0 0) into 0 8.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 1))) into (/ 1 (pow a 2)) 8.361 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow a 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow a 2))) 8.361 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI (pow a 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (* 0.5 (/ PI (pow a 2))) 8.361 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.361 * [taylor]: Taking taylor expansion of 0.5 in a 8.361 * [backup-simplify]: Simplify 0.5 into 0.5 8.361 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.361 * [taylor]: Taking taylor expansion of PI in a 8.361 * [backup-simplify]: Simplify PI into PI 8.361 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.361 * [taylor]: Taking taylor expansion of a in a 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (* 1 1) into 1 8.362 * [backup-simplify]: Simplify (/ PI 1) into PI 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 0 into 0 8.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 8.375 * [backup-simplify]: Simplify (/ 1.0 (- b a)) into (/ 1.0 (- b a)) 8.375 * [approximate]: Taking taylor expansion of (/ 1.0 (- b a)) in (b a) around 0 8.375 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in a 8.375 * [taylor]: Taking taylor expansion of 1.0 in a 8.375 * [backup-simplify]: Simplify 1.0 into 1.0 8.375 * [taylor]: Taking taylor expansion of (- b a) in a 8.375 * [taylor]: Taking taylor expansion of b in a 8.375 * [backup-simplify]: Simplify b into b 8.375 * [taylor]: Taking taylor expansion of a in a 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.375 * [backup-simplify]: Simplify (+ b 0) into b 8.375 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 8.375 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 8.375 * [taylor]: Taking taylor expansion of 1.0 in b 8.375 * [backup-simplify]: Simplify 1.0 into 1.0 8.375 * [taylor]: Taking taylor expansion of (- b a) in b 8.375 * [taylor]: Taking taylor expansion of b in b 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 1 into 1 8.375 * [taylor]: Taking taylor expansion of a in b 8.375 * [backup-simplify]: Simplify a into a 8.375 * [backup-simplify]: Simplify (- a) into (- a) 8.375 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.375 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 8.376 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 8.376 * [taylor]: Taking taylor expansion of 1.0 in b 8.376 * [backup-simplify]: Simplify 1.0 into 1.0 8.376 * [taylor]: Taking taylor expansion of (- b a) in b 8.376 * [taylor]: Taking taylor expansion of b in b 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [taylor]: Taking taylor expansion of a in b 8.376 * [backup-simplify]: Simplify a into a 8.376 * [backup-simplify]: Simplify (- a) into (- a) 8.376 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.376 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 8.376 * [taylor]: Taking taylor expansion of (/ -1.0 a) in a 8.376 * [taylor]: Taking taylor expansion of -1.0 in a 8.376 * [backup-simplify]: Simplify -1.0 into -1.0 8.376 * [taylor]: Taking taylor expansion of a in a 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 8.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ 1 0) into 1 8.377 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 2)))) 8.378 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 8.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 8.378 * [taylor]: Taking taylor expansion of 1.0 in a 8.378 * [backup-simplify]: Simplify 1.0 into 1.0 8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 8.378 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.378 * [taylor]: Taking taylor expansion of a in a 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.378 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.383 * [backup-simplify]: Simplify (- 0) into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.384 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify (- 0) into 0 8.385 * [backup-simplify]: Simplify (+ 0 0) into 0 8.386 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 0 (- a))) (* (- (* 1.0 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 3)))) 8.386 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 3)))) in a 8.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 3))) in a 8.386 * [taylor]: Taking taylor expansion of 1.0 in a 8.386 * [backup-simplify]: Simplify 1.0 into 1.0 8.386 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 8.386 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.386 * [taylor]: Taking taylor expansion of a in a 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.386 * [backup-simplify]: Simplify (* 1 1) into 1 8.386 * [backup-simplify]: Simplify (* 1 1) into 1 8.387 * [backup-simplify]: Simplify (/ 1 1) into 1 8.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (- 0) into 0 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (- 0) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 b) (/ 1 a))) into (/ 1.0 (- (/ 1 b) (/ 1 a))) 8.394 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in (b a) around 0 8.394 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in a 8.394 * [taylor]: Taking taylor expansion of 1.0 in a 8.394 * [backup-simplify]: Simplify 1.0 into 1.0 8.394 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.394 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.394 * [taylor]: Taking taylor expansion of b in a 8.394 * [backup-simplify]: Simplify b into b 8.395 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.395 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.395 * [taylor]: Taking taylor expansion of a in a 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [backup-simplify]: Simplify (- 1) into -1 8.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.396 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 8.396 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 8.396 * [taylor]: Taking taylor expansion of 1.0 in b 8.396 * [backup-simplify]: Simplify 1.0 into 1.0 8.396 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.396 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.396 * [taylor]: Taking taylor expansion of b in b 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [backup-simplify]: Simplify (/ 1 1) into 1 8.396 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.396 * [taylor]: Taking taylor expansion of a in b 8.396 * [backup-simplify]: Simplify a into a 8.396 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.396 * [backup-simplify]: Simplify (+ 1 0) into 1 8.397 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.397 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 8.397 * [taylor]: Taking taylor expansion of 1.0 in b 8.397 * [backup-simplify]: Simplify 1.0 into 1.0 8.397 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.397 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.397 * [taylor]: Taking taylor expansion of b in b 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 1 into 1 8.397 * [backup-simplify]: Simplify (/ 1 1) into 1 8.397 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.397 * [taylor]: Taking taylor expansion of a in b 8.397 * [backup-simplify]: Simplify a into a 8.397 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.397 * [backup-simplify]: Simplify (+ 1 0) into 1 8.398 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.398 * [taylor]: Taking taylor expansion of 1.0 in a 8.398 * [backup-simplify]: Simplify 1.0 into 1.0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.398 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 a)) 8.399 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 8.399 * [taylor]: Taking taylor expansion of 1.0 in a 8.399 * [backup-simplify]: Simplify 1.0 into 1.0 8.399 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.399 * [taylor]: Taking taylor expansion of a in a 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (/ 1 1) into 1 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.400 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.401 * [backup-simplify]: Simplify (- 0) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (* 1.0 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 (pow a 2))) 8.402 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 8.402 * [taylor]: Taking taylor expansion of 1.0 in a 8.402 * [backup-simplify]: Simplify 1.0 into 1.0 8.402 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 8.402 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.402 * [taylor]: Taking taylor expansion of a in a 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (- (/ 1 a) (/ 1 b))) 8.408 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in (b a) around 0 8.408 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in a 8.408 * [taylor]: Taking taylor expansion of 1.0 in a 8.408 * [backup-simplify]: Simplify 1.0 into 1.0 8.408 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.408 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.408 * [taylor]: Taking taylor expansion of a in a 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [backup-simplify]: Simplify (/ 1 1) into 1 8.408 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.408 * [taylor]: Taking taylor expansion of b in a 8.408 * [backup-simplify]: Simplify b into b 8.408 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.408 * [backup-simplify]: Simplify (+ 1 0) into 1 8.409 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 8.409 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 8.409 * [taylor]: Taking taylor expansion of 1.0 in b 8.409 * [backup-simplify]: Simplify 1.0 into 1.0 8.409 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.409 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.409 * [taylor]: Taking taylor expansion of a in b 8.409 * [backup-simplify]: Simplify a into a 8.409 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.409 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.409 * [taylor]: Taking taylor expansion of b in b 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (/ 1 1) into 1 8.409 * [backup-simplify]: Simplify (- 1) into -1 8.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.410 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 8.410 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 8.410 * [taylor]: Taking taylor expansion of 1.0 in b 8.410 * [backup-simplify]: Simplify 1.0 into 1.0 8.410 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.410 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.410 * [taylor]: Taking taylor expansion of a in b 8.410 * [backup-simplify]: Simplify a into a 8.410 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.410 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.410 * [taylor]: Taking taylor expansion of b in b 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (/ 1 1) into 1 8.411 * [backup-simplify]: Simplify (- 1) into -1 8.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.411 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 8.411 * [taylor]: Taking taylor expansion of -1.0 in a 8.411 * [backup-simplify]: Simplify -1.0 into -1.0 8.411 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.412 * [backup-simplify]: Simplify (- 0) into 0 8.412 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.412 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 a))) 8.412 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a))) in a 8.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 8.413 * [taylor]: Taking taylor expansion of 1.0 in a 8.413 * [backup-simplify]: Simplify 1.0 into 1.0 8.413 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.413 * [taylor]: Taking taylor expansion of a in a 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.415 * [backup-simplify]: Simplify (- 0) into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.417 * [backup-simplify]: Simplify (- 0) into 0 8.417 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- (* 1.0 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 (pow a 2)))) 8.418 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 8.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 8.419 * [taylor]: Taking taylor expansion of 1.0 in a 8.419 * [backup-simplify]: Simplify 1.0 into 1.0 8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 8.419 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.419 * [taylor]: Taking taylor expansion of a in a 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (* 1 1) into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.426 * [backup-simplify]: Simplify (- 0) into 0 8.426 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (- 0) into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * * * [progress]: simplifying candidates 8.453 * [simplify]: Simplifying: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (+ b a) (- b a)) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* (+ b a) (- b a)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (* (+ b a) (- b a)) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- b a) (* a b)) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (- b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (- b a) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (* 1.0 b) (* a 1.0))) (* (+ b a) (* a b)) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (+ b a) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (sqrt (/ 1.0 b))) (sqrt (/ 1.0 b)) (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (/ (cbrt 1.0) (cbrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))) (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (/ (cbrt 1.0) b)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) b) (/ (sqrt 1.0) 1))))) (* (* (/ (/ PI 2.0) (+ b 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Extracting # 2 : cost 0 9.299 * * [simplify]: Extracting # 3 : cost 0 9.307 * * [simplify]: Extracting # 4 : cost 0 9.312 * * [simplify]: Extracting # 5 : cost 0 9.317 * * [simplify]: iteration 1 : 2733 enodes (cost 27749 ) 10.646 * * [simplify]: Extracting # 0 : cost 0 10.660 * * [simplify]: Extracting # 1 : cost 0 10.674 * * [simplify]: Extracting # 2 : cost 0 10.686 * * [simplify]: Extracting # 3 : cost 0 10.699 * * [simplify]: Extracting # 4 : cost 0 10.712 * * [simplify]: iteration done: 5001 enodes (cost 24229 ) 10.728 * [simplify]: Simplified to: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ PI 2.0) (+ b a))) (/ 1.0 (- b a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ PI 2.0) (+ b a))) (/ 1.0 (- b a))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) 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(- b a))) (* (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ (/ 1 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ 1.0 (- b a)) (+ a b)) (/ (* (fma b b (* a (- a b))) 1.0) (- b a)) (* (- b a) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (/ PI 2.0) (/ 1.0 (- b a))) (expm1 (/ 1.0 (- b a))) (log1p (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (exp (/ 1.0 (- b a))) (pow (/ 1.0 (- b a)) 3) (* (cbrt (/ 1.0 (- b a))) (cbrt (/ 1.0 (- b a)))) (cbrt (/ 1.0 (- b a))) (pow (/ 1.0 (- b a)) 3) (sqrt (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (- 1.0) (- (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt 1.0) (cbrt (- b a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- b a))) (/ (cbrt 1.0) (sqrt (- b a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ (sqrt b) (sqrt a))) (/ (cbrt 1.0) (- (sqrt b) (sqrt a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt 1.0) (cbrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ (sqrt 1.0) (+ (sqrt b) (sqrt a))) (/ (sqrt 1.0) (- (sqrt b) (sqrt a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ 1.0 (sqrt (- b a))) 1 (/ 1.0 (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ 1.0 (- (sqrt b) (sqrt a))) 1 (/ 1.0 (- b a)) (/ 1 (- b a)) (/ (- b a) 1.0) (/ 1.0 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (sqrt (- b a))) 1.0 (/ 1.0 (+ (sqrt b) (sqrt a))) 1.0 (/ (- b a) (cbrt 1.0)) (/ (- b a) (sqrt 1.0)) (/ (- b a) 1.0) (/ 1.0 (- (pow b 3) (pow a 3))) (/ 1.0 (- (* b b) (* a a))) 0 0 0 0 0 0 0 0 0 0 0 0 10.745 * * * [progress]: adding candidates to table 12.704 * * [progress]: iteration 3 / 4 12.704 * * * [progress]: picking best candidate 12.769 * * * * [pick]: Picked # 12.769 * * * [progress]: localizing error 12.805 * * * [progress]: generating rewritten candidates 12.805 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 12.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.122 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 13.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 13.200 * * * [progress]: generating series expansions 13.200 * * * * [progress]: [ 1 / 4 ] generating series at (2) 13.201 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- b a) (* a b))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a))))) 13.201 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a))))) in (b a) around 0 13.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a))))) in a 13.201 * [taylor]: Taking taylor expansion of 0.5 in a 13.201 * [backup-simplify]: Simplify 0.5 into 0.5 13.201 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a)))) in a 13.201 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 13.201 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 13.201 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 13.201 * [taylor]: Taking taylor expansion of 1.0 in a 13.201 * [backup-simplify]: Simplify 1.0 into 1.0 13.201 * [taylor]: Taking taylor expansion of b in a 13.201 * [backup-simplify]: Simplify b into b 13.201 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 13.201 * [taylor]: Taking taylor expansion of 1.0 in a 13.201 * [backup-simplify]: Simplify 1.0 into 1.0 13.201 * [taylor]: Taking taylor expansion of a in a 13.201 * [backup-simplify]: Simplify 0 into 0 13.201 * [backup-simplify]: Simplify 1 into 1 13.201 * [taylor]: Taking taylor expansion of PI in a 13.201 * [backup-simplify]: Simplify PI into PI 13.201 * [taylor]: Taking taylor expansion of (* (- b a) (* b (* (+ a b) a))) in a 13.201 * [taylor]: Taking taylor expansion of (- b a) in a 13.201 * [taylor]: Taking taylor expansion of b in a 13.201 * [backup-simplify]: Simplify b into b 13.201 * [taylor]: Taking taylor expansion of a in a 13.201 * [backup-simplify]: Simplify 0 into 0 13.201 * [backup-simplify]: Simplify 1 into 1 13.201 * [taylor]: Taking taylor expansion of (* b (* (+ a b) a)) in a 13.201 * [taylor]: Taking taylor expansion of b in a 13.202 * [backup-simplify]: Simplify b into b 13.202 * [taylor]: Taking taylor expansion of (* (+ a b) a) in a 13.202 * [taylor]: Taking taylor expansion of (+ a b) in a 13.202 * [taylor]: Taking taylor expansion of a in a 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 1 into 1 13.202 * [taylor]: Taking taylor expansion of b in a 13.202 * [backup-simplify]: Simplify b into b 13.202 * [taylor]: Taking taylor expansion of a in a 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 1 into 1 13.202 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 13.202 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.202 * [backup-simplify]: Simplify (- 0) into 0 13.202 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 13.203 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 13.203 * [backup-simplify]: Simplify (- 0) into 0 13.203 * [backup-simplify]: Simplify (+ b 0) into b 13.203 * [backup-simplify]: Simplify (+ 0 b) into b 13.203 * [backup-simplify]: Simplify (* b 0) into 0 13.203 * [backup-simplify]: Simplify (* b 0) into 0 13.203 * [backup-simplify]: Simplify (* b 0) into 0 13.204 * [backup-simplify]: Simplify (+ 1 0) into 1 13.204 * [backup-simplify]: Simplify (+ (* b 1) (* 1 0)) into b 13.204 * [backup-simplify]: Simplify (+ (* b b) (* 0 0)) into (pow b 2) 13.205 * [backup-simplify]: Simplify (- 1) into -1 13.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.206 * [backup-simplify]: Simplify (+ (* b (pow b 2)) (* -1 0)) into (pow b 3) 13.206 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) (pow b 3)) into (* 1.0 (/ PI (pow b 2))) 13.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a))))) in b 13.206 * [taylor]: Taking taylor expansion of 0.5 in b 13.206 * [backup-simplify]: Simplify 0.5 into 0.5 13.206 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a)))) in b 13.206 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 13.206 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 13.206 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 13.206 * [taylor]: Taking taylor expansion of 1.0 in b 13.206 * [backup-simplify]: Simplify 1.0 into 1.0 13.206 * [taylor]: Taking taylor expansion of b in b 13.206 * [backup-simplify]: Simplify 0 into 0 13.206 * [backup-simplify]: Simplify 1 into 1 13.206 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 13.207 * [taylor]: Taking taylor expansion of 1.0 in b 13.207 * [backup-simplify]: Simplify 1.0 into 1.0 13.207 * [taylor]: Taking taylor expansion of a in b 13.207 * [backup-simplify]: Simplify a into a 13.207 * [taylor]: Taking taylor expansion of PI in b 13.207 * [backup-simplify]: Simplify PI into PI 13.207 * [taylor]: Taking taylor expansion of (* (- b a) (* b (* (+ a b) a))) in b 13.207 * [taylor]: Taking taylor expansion of (- b a) in b 13.207 * [taylor]: Taking taylor expansion of b in b 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 1 into 1 13.207 * [taylor]: Taking taylor expansion of a in b 13.207 * [backup-simplify]: Simplify a into a 13.207 * [taylor]: Taking taylor expansion of (* b (* (+ a b) a)) in b 13.207 * [taylor]: Taking taylor expansion of b in b 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 1 into 1 13.207 * [taylor]: Taking taylor expansion of (* (+ a b) a) in b 13.207 * [taylor]: Taking taylor expansion of (+ a b) in b 13.207 * [taylor]: Taking taylor expansion of a in b 13.207 * [backup-simplify]: Simplify a into a 13.207 * [taylor]: Taking taylor expansion of b in b 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 1 into 1 13.207 * [taylor]: Taking taylor expansion of a in b 13.207 * [backup-simplify]: Simplify a into a 13.208 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.208 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 13.208 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 13.208 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 13.208 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 13.208 * [backup-simplify]: Simplify (- a) into (- a) 13.208 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.208 * [backup-simplify]: Simplify (+ a 0) into a 13.208 * [backup-simplify]: Simplify (* a a) into (pow a 2) 13.208 * [backup-simplify]: Simplify (* 0 (pow a 2)) into 0 13.208 * [backup-simplify]: Simplify (* (- a) 0) into 0 13.209 * [backup-simplify]: Simplify (+ 0 1) into 1 13.209 * [backup-simplify]: Simplify (+ (* a 0) (* 1 a)) into a 13.209 * [backup-simplify]: Simplify (+ (* 0 a) (* 1 (pow a 2))) into (pow a 2) 13.209 * [backup-simplify]: Simplify (- 0) into 0 13.210 * [backup-simplify]: Simplify (+ 1 0) into 1 13.210 * [backup-simplify]: Simplify (+ (* (- a) (pow a 2)) (* 1 0)) into (- (pow a 3)) 13.211 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (- (pow a 3))) into (* 1.0 (/ PI (pow a 2))) 13.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a))))) in b 13.211 * [taylor]: Taking taylor expansion of 0.5 in b 13.211 * [backup-simplify]: Simplify 0.5 into 0.5 13.211 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- b a) (* b (* (+ a b) a)))) in b 13.211 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 13.211 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 13.211 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 13.211 * [taylor]: Taking taylor expansion of 1.0 in b 13.211 * [backup-simplify]: Simplify 1.0 into 1.0 13.211 * [taylor]: Taking taylor expansion of b in b 13.211 * [backup-simplify]: Simplify 0 into 0 13.211 * [backup-simplify]: Simplify 1 into 1 13.211 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 13.211 * [taylor]: Taking taylor expansion of 1.0 in b 13.211 * [backup-simplify]: Simplify 1.0 into 1.0 13.211 * [taylor]: Taking taylor expansion of a in b 13.211 * [backup-simplify]: Simplify a into a 13.211 * [taylor]: Taking taylor expansion of PI in b 13.211 * [backup-simplify]: Simplify PI into PI 13.211 * [taylor]: Taking taylor expansion of (* (- b a) (* b (* (+ a b) a))) in b 13.211 * [taylor]: Taking taylor expansion of (- b a) in b 13.211 * [taylor]: Taking taylor expansion of b in b 13.211 * [backup-simplify]: Simplify 0 into 0 13.211 * [backup-simplify]: Simplify 1 into 1 13.211 * [taylor]: Taking taylor expansion of a in b 13.211 * [backup-simplify]: Simplify a into a 13.211 * [taylor]: Taking taylor expansion of (* b (* (+ a b) a)) in b 13.211 * [taylor]: Taking taylor expansion of b in b 13.211 * [backup-simplify]: Simplify 0 into 0 13.212 * [backup-simplify]: Simplify 1 into 1 13.212 * [taylor]: Taking taylor expansion of (* (+ a b) a) in b 13.212 * [taylor]: Taking taylor expansion of (+ a b) in b 13.212 * [taylor]: Taking taylor expansion of a in b 13.212 * [backup-simplify]: Simplify a into a 13.212 * [taylor]: Taking taylor expansion of b in b 13.212 * [backup-simplify]: Simplify 0 into 0 13.212 * [backup-simplify]: Simplify 1 into 1 13.212 * [taylor]: Taking taylor expansion of a in b 13.212 * [backup-simplify]: Simplify a into a 13.212 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.212 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 13.212 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 13.212 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 13.213 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 13.213 * [backup-simplify]: Simplify (- a) into (- a) 13.213 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.213 * [backup-simplify]: Simplify (+ a 0) into a 13.213 * [backup-simplify]: Simplify (* a a) into (pow a 2) 13.213 * [backup-simplify]: Simplify (* 0 (pow a 2)) into 0 13.213 * [backup-simplify]: Simplify (* (- a) 0) into 0 13.213 * [backup-simplify]: Simplify (+ 0 1) into 1 13.213 * [backup-simplify]: Simplify (+ (* a 0) (* 1 a)) into a 13.214 * [backup-simplify]: Simplify (+ (* 0 a) (* 1 (pow a 2))) into (pow a 2) 13.214 * [backup-simplify]: Simplify (- 0) into 0 13.214 * [backup-simplify]: Simplify (+ 1 0) into 1 13.215 * [backup-simplify]: Simplify (+ (* (- a) (pow a 2)) (* 1 0)) into (- (pow a 3)) 13.215 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (- (pow a 3))) into (* 1.0 (/ PI (pow a 2))) 13.216 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 13.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 13.216 * [taylor]: Taking taylor expansion of 0.5 in a 13.216 * [backup-simplify]: Simplify 0.5 into 0.5 13.216 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.216 * [taylor]: Taking taylor expansion of PI in a 13.216 * [backup-simplify]: Simplify PI into PI 13.216 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.216 * [taylor]: Taking taylor expansion of a in a 13.216 * [backup-simplify]: Simplify 0 into 0 13.216 * [backup-simplify]: Simplify 1 into 1 13.216 * [backup-simplify]: Simplify (* 1 1) into 1 13.217 * [backup-simplify]: Simplify (/ PI 1) into PI 13.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 13.219 * [backup-simplify]: Simplify 0 into 0 13.220 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 13.221 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 13.221 * [backup-simplify]: Simplify (- 0) into 0 13.222 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.222 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 13.223 * [backup-simplify]: Simplify (+ 0 0) into 0 13.223 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (* 0 a))) into 0 13.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 a) (* 0 (pow a 2)))) into a 13.224 * [backup-simplify]: Simplify (- 0) into 0 13.225 * [backup-simplify]: Simplify (+ 0 0) into 0 13.225 * [backup-simplify]: Simplify (+ (* (- a) a) (+ (* 1 (pow a 2)) (* 0 0))) into 0 13.226 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) (- (pow a 3))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 3)))))) into (- (* 1.0 (/ PI (pow a 3)))) 13.227 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 13.227 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 13.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 13.227 * [taylor]: Taking taylor expansion of 0.5 in a 13.227 * [backup-simplify]: Simplify 0.5 into 0.5 13.227 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.227 * [taylor]: Taking taylor expansion of PI in a 13.227 * [backup-simplify]: Simplify PI into PI 13.227 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.227 * [taylor]: Taking taylor expansion of a in a 13.227 * [backup-simplify]: Simplify 0 into 0 13.227 * [backup-simplify]: Simplify 1 into 1 13.227 * [backup-simplify]: Simplify (* 1 1) into 1 13.228 * [backup-simplify]: Simplify (* 1 1) into 1 13.228 * [backup-simplify]: Simplify (/ PI 1) into PI 13.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.234 * [backup-simplify]: Simplify (- 0) into 0 13.234 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.237 * [backup-simplify]: Simplify 0 into 0 13.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 13.239 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 13.240 * [backup-simplify]: Simplify (- 0) into 0 13.240 * [backup-simplify]: Simplify (+ 0 0) into 0 13.241 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 13.241 * [backup-simplify]: Simplify (+ 0 0) into 0 13.242 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 13.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 a) (* 0 (pow a 2))))) into 0 13.243 * [backup-simplify]: Simplify (- 0) into 0 13.243 * [backup-simplify]: Simplify (+ 0 0) into 0 13.244 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 a) (+ (* 0 (pow a 2)) (* 0 0)))) into a 13.245 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 3))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ a (- (pow a 3)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 3)))))) into (* 1.0 (/ PI (pow a 4))) 13.246 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 13.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 13.246 * [taylor]: Taking taylor expansion of 0.5 in a 13.246 * [backup-simplify]: Simplify 0.5 into 0.5 13.246 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 13.246 * [taylor]: Taking taylor expansion of PI in a 13.246 * [backup-simplify]: Simplify PI into PI 13.246 * [taylor]: Taking taylor expansion of (pow a 4) in a 13.246 * [taylor]: Taking taylor expansion of a in a 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.247 * [backup-simplify]: Simplify (* 1 1) into 1 13.247 * [backup-simplify]: Simplify (* 1 1) into 1 13.247 * [backup-simplify]: Simplify (/ PI 1) into PI 13.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.258 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.262 * [backup-simplify]: Simplify (- 0) into 0 13.262 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (* 1.0 (/ 1 b)) (* (/ 1 a) 1.0))) (* (- (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 b)))) into (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 13.268 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (b a) around 0 13.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 13.268 * [taylor]: Taking taylor expansion of 0.5 in a 13.268 * [backup-simplify]: Simplify 0.5 into 0.5 13.268 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 13.268 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in a 13.268 * [taylor]: Taking taylor expansion of b in a 13.268 * [backup-simplify]: Simplify b into b 13.268 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in a 13.268 * [taylor]: Taking taylor expansion of a in a 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify 1 into 1 13.268 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in a 13.268 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in a 13.268 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 13.268 * [taylor]: Taking taylor expansion of 1.0 in a 13.268 * [backup-simplify]: Simplify 1.0 into 1.0 13.268 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.268 * [taylor]: Taking taylor expansion of b in a 13.268 * [backup-simplify]: Simplify b into b 13.269 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 13.269 * [taylor]: Taking taylor expansion of 1.0 in a 13.269 * [backup-simplify]: Simplify 1.0 into 1.0 13.269 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.269 * [taylor]: Taking taylor expansion of a in a 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 1 into 1 13.276 * [backup-simplify]: Simplify (/ 1 1) into 1 13.277 * [taylor]: Taking taylor expansion of PI in a 13.277 * [backup-simplify]: Simplify PI into PI 13.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 13.277 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.277 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.277 * [taylor]: Taking taylor expansion of a in a 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ 1 1) into 1 13.278 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.278 * [taylor]: Taking taylor expansion of b in a 13.278 * [backup-simplify]: Simplify b into b 13.278 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.278 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 13.278 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.278 * [taylor]: Taking taylor expansion of b in a 13.278 * [backup-simplify]: Simplify b into b 13.278 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.278 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.278 * [taylor]: Taking taylor expansion of a in a 13.278 * [backup-simplify]: Simplify 0 into 0 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [backup-simplify]: Simplify (/ 1 1) into 1 13.279 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.279 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.280 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.281 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 13.282 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 13.282 * [backup-simplify]: Simplify (* b 0) into 0 13.282 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 13.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.283 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.284 * [backup-simplify]: Simplify (- 0) into 0 13.284 * [backup-simplify]: Simplify (+ (/ 1.0 b) 0) into (* 1.0 (/ 1 b)) 13.285 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 b)) PI)) into (* 1.0 (/ PI b)) 13.286 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI b))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 13.287 * [backup-simplify]: Simplify (+ (* b (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* PI b))) 13.288 * [backup-simplify]: Simplify (+ 1 0) into 1 13.288 * [backup-simplify]: Simplify (- 1) into -1 13.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.289 * [backup-simplify]: Simplify (* 1 -1) into -1 13.290 * [backup-simplify]: Simplify (/ (- (* 1.0 (* PI b))) -1) into (* 1.0 (* b PI)) 13.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 13.290 * [taylor]: Taking taylor expansion of 0.5 in b 13.290 * [backup-simplify]: Simplify 0.5 into 0.5 13.290 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 13.290 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in b 13.290 * [taylor]: Taking taylor expansion of b in b 13.290 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify 1 into 1 13.290 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in b 13.290 * [taylor]: Taking taylor expansion of a in b 13.290 * [backup-simplify]: Simplify a into a 13.290 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 13.290 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 13.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.290 * [taylor]: Taking taylor expansion of 1.0 in b 13.290 * [backup-simplify]: Simplify 1.0 into 1.0 13.290 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.290 * [taylor]: Taking taylor expansion of b in b 13.290 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify 1 into 1 13.291 * [backup-simplify]: Simplify (/ 1 1) into 1 13.291 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.291 * [taylor]: Taking taylor expansion of 1.0 in b 13.291 * [backup-simplify]: Simplify 1.0 into 1.0 13.291 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.291 * [taylor]: Taking taylor expansion of a in b 13.291 * [backup-simplify]: Simplify a into a 13.291 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.291 * [taylor]: Taking taylor expansion of PI in b 13.291 * [backup-simplify]: Simplify PI into PI 13.291 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 13.291 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.291 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.292 * [taylor]: Taking taylor expansion of a in b 13.292 * [backup-simplify]: Simplify a into a 13.292 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.292 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.292 * [taylor]: Taking taylor expansion of b in b 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 1 into 1 13.292 * [backup-simplify]: Simplify (/ 1 1) into 1 13.292 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.292 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.292 * [taylor]: Taking taylor expansion of b in b 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 1 into 1 13.293 * [backup-simplify]: Simplify (/ 1 1) into 1 13.293 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.293 * [taylor]: Taking taylor expansion of a in b 13.293 * [backup-simplify]: Simplify a into a 13.293 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.293 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.294 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 13.295 * [backup-simplify]: Simplify (* a (* 1.0 PI)) into (* 1.0 (* a PI)) 13.295 * [backup-simplify]: Simplify (* 0 (* 1.0 (* a PI))) into 0 13.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.297 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.297 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 13.297 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 13.297 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 13.298 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 13.299 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* a PI)))) into (* 1.0 (* a PI)) 13.300 * [backup-simplify]: Simplify (+ 0 1) into 1 13.300 * [backup-simplify]: Simplify (+ 1 0) into 1 13.301 * [backup-simplify]: Simplify (* 1 1) into 1 13.301 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 13.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 13.301 * [taylor]: Taking taylor expansion of 0.5 in b 13.301 * [backup-simplify]: Simplify 0.5 into 0.5 13.301 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 13.301 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in b 13.301 * [taylor]: Taking taylor expansion of b in b 13.301 * [backup-simplify]: Simplify 0 into 0 13.301 * [backup-simplify]: Simplify 1 into 1 13.301 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in b 13.301 * [taylor]: Taking taylor expansion of a in b 13.301 * [backup-simplify]: Simplify a into a 13.301 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 13.301 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 13.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.301 * [taylor]: Taking taylor expansion of 1.0 in b 13.301 * [backup-simplify]: Simplify 1.0 into 1.0 13.301 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.301 * [taylor]: Taking taylor expansion of b in b 13.301 * [backup-simplify]: Simplify 0 into 0 13.301 * [backup-simplify]: Simplify 1 into 1 13.302 * [backup-simplify]: Simplify (/ 1 1) into 1 13.302 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.302 * [taylor]: Taking taylor expansion of 1.0 in b 13.302 * [backup-simplify]: Simplify 1.0 into 1.0 13.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.302 * [taylor]: Taking taylor expansion of a in b 13.302 * [backup-simplify]: Simplify a into a 13.302 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.302 * [taylor]: Taking taylor expansion of PI in b 13.302 * [backup-simplify]: Simplify PI into PI 13.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 13.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.302 * [taylor]: Taking taylor expansion of a in b 13.302 * [backup-simplify]: Simplify a into a 13.302 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.302 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.302 * [taylor]: Taking taylor expansion of b in b 13.302 * [backup-simplify]: Simplify 0 into 0 13.302 * [backup-simplify]: Simplify 1 into 1 13.303 * [backup-simplify]: Simplify (/ 1 1) into 1 13.303 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.303 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.303 * [taylor]: Taking taylor expansion of b in b 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify 1 into 1 13.303 * [backup-simplify]: Simplify (/ 1 1) into 1 13.303 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.303 * [taylor]: Taking taylor expansion of a in b 13.303 * [backup-simplify]: Simplify a into a 13.303 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.304 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.304 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.305 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 13.306 * [backup-simplify]: Simplify (* a (* 1.0 PI)) into (* 1.0 (* a PI)) 13.306 * [backup-simplify]: Simplify (* 0 (* 1.0 (* a PI))) into 0 13.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.307 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.307 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 13.308 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 13.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 13.309 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 13.310 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* a PI)))) into (* 1.0 (* a PI)) 13.310 * [backup-simplify]: Simplify (+ 0 1) into 1 13.311 * [backup-simplify]: Simplify (+ 1 0) into 1 13.311 * [backup-simplify]: Simplify (* 1 1) into 1 13.311 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 13.312 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 13.312 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 13.312 * [taylor]: Taking taylor expansion of 0.5 in a 13.312 * [backup-simplify]: Simplify 0.5 into 0.5 13.312 * [taylor]: Taking taylor expansion of (* a PI) in a 13.312 * [taylor]: Taking taylor expansion of a in a 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify 1 into 1 13.312 * [taylor]: Taking taylor expansion of PI in a 13.312 * [backup-simplify]: Simplify PI into PI 13.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.315 * [backup-simplify]: Simplify (* 0 PI) into 0 13.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 13.316 * [backup-simplify]: Simplify 0 into 0 13.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.318 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 13.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.319 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 13.319 * [backup-simplify]: Simplify (- 0) into 0 13.319 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (* 0 PI))) into 0 13.321 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI)))) into 0 13.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 1.0 PI)) 13.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.324 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 13.325 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 13.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.325 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.326 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 13.328 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 13.329 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 13.329 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 13.329 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 13.330 * [taylor]: Taking taylor expansion of 0.5 in a 13.330 * [backup-simplify]: Simplify 0.5 into 0.5 13.330 * [taylor]: Taking taylor expansion of PI in a 13.330 * [backup-simplify]: Simplify PI into PI 13.331 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.331 * [backup-simplify]: Simplify (- 0) into 0 13.331 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.333 * [backup-simplify]: Simplify 0 into 0 13.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 13.338 * [backup-simplify]: Simplify (- 0) into 0 13.338 * [backup-simplify]: Simplify (+ 0 0) into 0 13.339 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 0) (* 0 PI)))) into 0 13.341 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))))) into 0 13.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))))) into 0 13.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.344 * [backup-simplify]: Simplify (- 0) into 0 13.344 * [backup-simplify]: Simplify (+ 0 0) into 0 13.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.346 * [backup-simplify]: Simplify (+ 0 0) into 0 13.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) 13.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 13.350 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 13.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 13.350 * [taylor]: Taking taylor expansion of 0.5 in a 13.350 * [backup-simplify]: Simplify 0.5 into 0.5 13.350 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.350 * [taylor]: Taking taylor expansion of PI in a 13.350 * [backup-simplify]: Simplify PI into PI 13.350 * [taylor]: Taking taylor expansion of a in a 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [backup-simplify]: Simplify 1 into 1 13.351 * [backup-simplify]: Simplify (/ PI 1) into PI 13.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.357 * [backup-simplify]: Simplify (- 0) into 0 13.357 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (* 1.0 (/ 1 (- b))) (* (/ 1 (- a)) 1.0))) (* (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- b))))) into (* -0.5 (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 13.361 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 13.361 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 13.361 * [taylor]: Taking taylor expansion of -0.5 in a 13.361 * [backup-simplify]: Simplify -0.5 into -0.5 13.361 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 13.361 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in a 13.361 * [taylor]: Taking taylor expansion of a in a 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [taylor]: Taking taylor expansion of (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in a 13.361 * [taylor]: Taking taylor expansion of b in a 13.361 * [backup-simplify]: Simplify b into b 13.361 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in a 13.361 * [taylor]: Taking taylor expansion of PI in a 13.361 * [backup-simplify]: Simplify PI into PI 13.361 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 13.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 13.361 * [taylor]: Taking taylor expansion of 1.0 in a 13.361 * [backup-simplify]: Simplify 1.0 into 1.0 13.361 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.362 * [taylor]: Taking taylor expansion of a in a 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 1 into 1 13.362 * [backup-simplify]: Simplify (/ 1 1) into 1 13.362 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 13.362 * [taylor]: Taking taylor expansion of 1.0 in a 13.362 * [backup-simplify]: Simplify 1.0 into 1.0 13.362 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.362 * [taylor]: Taking taylor expansion of b in a 13.362 * [backup-simplify]: Simplify b into b 13.362 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 13.362 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.362 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.362 * [taylor]: Taking taylor expansion of a in a 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 1 into 1 13.363 * [backup-simplify]: Simplify (/ 1 1) into 1 13.363 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.363 * [taylor]: Taking taylor expansion of b in a 13.363 * [backup-simplify]: Simplify b into b 13.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.363 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 13.363 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.363 * [taylor]: Taking taylor expansion of a in a 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 1 into 1 13.363 * [backup-simplify]: Simplify (/ 1 1) into 1 13.363 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.363 * [taylor]: Taking taylor expansion of b in a 13.363 * [backup-simplify]: Simplify b into b 13.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.365 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.365 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.366 * [backup-simplify]: Simplify (* PI 1.0) into (* 1.0 PI) 13.366 * [backup-simplify]: Simplify (* b (* 1.0 PI)) into (* 1.0 (* PI b)) 13.366 * [backup-simplify]: Simplify (* 0 (* 1.0 (* PI b))) into 0 13.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.368 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 13.368 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 13.368 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 13.369 * [backup-simplify]: Simplify (+ (* PI (- (* 1.0 (/ 1 b)))) (* 0 1.0)) into (- (* 1.0 (/ PI b))) 13.369 * [backup-simplify]: Simplify (+ (* b (- (* 1.0 (/ PI b)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 13.370 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* PI b)))) into (* 1.0 (* b PI)) 13.371 * [backup-simplify]: Simplify (+ 1 0) into 1 13.371 * [backup-simplify]: Simplify (+ 1 0) into 1 13.371 * [backup-simplify]: Simplify (* 1 1) into 1 13.371 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 13.371 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 13.372 * [taylor]: Taking taylor expansion of -0.5 in b 13.372 * [backup-simplify]: Simplify -0.5 into -0.5 13.372 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 13.372 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in b 13.372 * [taylor]: Taking taylor expansion of a in b 13.372 * [backup-simplify]: Simplify a into a 13.372 * [taylor]: Taking taylor expansion of (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in b 13.372 * [taylor]: Taking taylor expansion of b in b 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.372 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 13.372 * [taylor]: Taking taylor expansion of PI in b 13.372 * [backup-simplify]: Simplify PI into PI 13.372 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 13.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.372 * [taylor]: Taking taylor expansion of 1.0 in b 13.372 * [backup-simplify]: Simplify 1.0 into 1.0 13.372 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.372 * [taylor]: Taking taylor expansion of a in b 13.372 * [backup-simplify]: Simplify a into a 13.372 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.372 * [taylor]: Taking taylor expansion of 1.0 in b 13.372 * [backup-simplify]: Simplify 1.0 into 1.0 13.372 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.372 * [taylor]: Taking taylor expansion of b in b 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (/ 1 1) into 1 13.373 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 13.373 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.373 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.373 * [taylor]: Taking taylor expansion of a in b 13.373 * [backup-simplify]: Simplify a into a 13.373 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.373 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.373 * [taylor]: Taking taylor expansion of b in b 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (/ 1 1) into 1 13.373 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 13.373 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.373 * [taylor]: Taking taylor expansion of a in b 13.373 * [backup-simplify]: Simplify a into a 13.373 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.373 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.373 * [taylor]: Taking taylor expansion of b in b 13.374 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify 1 into 1 13.374 * [backup-simplify]: Simplify (/ 1 1) into 1 13.374 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.375 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.375 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.376 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 13.377 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 13.377 * [backup-simplify]: Simplify (* a 0) into 0 13.377 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.378 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.379 * [backup-simplify]: Simplify (- 0) into 0 13.379 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 13.379 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (* 0 (- 1.0))) into (* 1.0 (/ PI a)) 13.381 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI a))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 13.382 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 13.382 * [backup-simplify]: Simplify (+ 0 1) into 1 13.383 * [backup-simplify]: Simplify (- 1) into -1 13.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.383 * [backup-simplify]: Simplify (* 1 -1) into -1 13.384 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) -1) into (* 1.0 (* a PI)) 13.384 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 13.384 * [taylor]: Taking taylor expansion of -0.5 in b 13.384 * [backup-simplify]: Simplify -0.5 into -0.5 13.384 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 13.384 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in b 13.384 * [taylor]: Taking taylor expansion of a in b 13.384 * [backup-simplify]: Simplify a into a 13.384 * [taylor]: Taking taylor expansion of (* b (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in b 13.384 * [taylor]: Taking taylor expansion of b in b 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 1 into 1 13.384 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 13.384 * [taylor]: Taking taylor expansion of PI in b 13.384 * [backup-simplify]: Simplify PI into PI 13.384 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 13.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.384 * [taylor]: Taking taylor expansion of 1.0 in b 13.384 * [backup-simplify]: Simplify 1.0 into 1.0 13.384 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.384 * [taylor]: Taking taylor expansion of a in b 13.384 * [backup-simplify]: Simplify a into a 13.384 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.384 * [taylor]: Taking taylor expansion of 1.0 in b 13.384 * [backup-simplify]: Simplify 1.0 into 1.0 13.384 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.384 * [taylor]: Taking taylor expansion of b in b 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 1 into 1 13.385 * [backup-simplify]: Simplify (/ 1 1) into 1 13.385 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 13.385 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.385 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.385 * [taylor]: Taking taylor expansion of a in b 13.385 * [backup-simplify]: Simplify a into a 13.385 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.385 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.385 * [taylor]: Taking taylor expansion of b in b 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [backup-simplify]: Simplify 1 into 1 13.385 * [backup-simplify]: Simplify (/ 1 1) into 1 13.385 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 13.386 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.386 * [taylor]: Taking taylor expansion of a in b 13.386 * [backup-simplify]: Simplify a into a 13.386 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.386 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.386 * [taylor]: Taking taylor expansion of b in b 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 1 into 1 13.386 * [backup-simplify]: Simplify (/ 1 1) into 1 13.386 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.387 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.388 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.388 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 13.389 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 13.389 * [backup-simplify]: Simplify (* a 0) into 0 13.389 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.391 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.391 * [backup-simplify]: Simplify (- 0) into 0 13.391 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 13.392 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (* 0 (- 1.0))) into (* 1.0 (/ PI a)) 13.393 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI a))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 13.394 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 13.395 * [backup-simplify]: Simplify (+ 0 1) into 1 13.395 * [backup-simplify]: Simplify (- 1) into -1 13.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.396 * [backup-simplify]: Simplify (* 1 -1) into -1 13.396 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) -1) into (* 1.0 (* a PI)) 13.396 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 13.396 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 13.396 * [taylor]: Taking taylor expansion of -0.5 in a 13.396 * [backup-simplify]: Simplify -0.5 into -0.5 13.396 * [taylor]: Taking taylor expansion of (* a PI) in a 13.396 * [taylor]: Taking taylor expansion of a in a 13.396 * [backup-simplify]: Simplify 0 into 0 13.396 * [backup-simplify]: Simplify 1 into 1 13.396 * [taylor]: Taking taylor expansion of PI in a 13.396 * [backup-simplify]: Simplify PI into PI 13.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.400 * [backup-simplify]: Simplify (* 0 PI) into 0 13.401 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 13.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 13.404 * [backup-simplify]: Simplify (- 0) into 0 13.404 * [backup-simplify]: Simplify (+ 0 0) into 0 13.405 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))) into 0 13.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (* 1.0 (/ PI a)) 13.408 * [backup-simplify]: Simplify (+ (* a (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0))) into (* 1.0 PI) 13.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.409 * [backup-simplify]: Simplify (- 0) into 0 13.409 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.410 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.410 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 13.412 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 13.414 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 13.414 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 13.414 * [taylor]: Taking taylor expansion of 0.5 in a 13.414 * [backup-simplify]: Simplify 0.5 into 0.5 13.414 * [taylor]: Taking taylor expansion of PI in a 13.414 * [backup-simplify]: Simplify PI into PI 13.415 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.415 * [backup-simplify]: Simplify 0 into 0 13.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.416 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.416 * [backup-simplify]: Simplify 0 into 0 13.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.417 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 13.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.419 * [backup-simplify]: Simplify (- 0) into 0 13.419 * [backup-simplify]: Simplify (+ 0 0) into 0 13.420 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0))))) into 0 13.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (* 1.0 (/ PI a))) (* 0 (* -1.0 PI))))) into 0 13.428 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0)))) into 0 13.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.429 * [backup-simplify]: Simplify (- 0) into 0 13.429 * [backup-simplify]: Simplify (+ 0 0) into 0 13.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.430 * [backup-simplify]: Simplify (+ 0 0) into 0 13.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 13.432 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 13.432 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 13.432 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 13.432 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 13.432 * [taylor]: Taking taylor expansion of 0.5 in a 13.432 * [backup-simplify]: Simplify 0.5 into 0.5 13.432 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.432 * [taylor]: Taking taylor expansion of PI in a 13.433 * [backup-simplify]: Simplify PI into PI 13.433 * [taylor]: Taking taylor expansion of a in a 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 1 into 1 13.433 * [backup-simplify]: Simplify (/ PI 1) into PI 13.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.435 * [backup-simplify]: Simplify (- 0) into 0 13.436 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.436 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.438 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.438 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) 13.439 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in (b a) around 0 13.439 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in a 13.439 * [taylor]: Taking taylor expansion of 0.5 in a 13.439 * [backup-simplify]: Simplify 0.5 into 0.5 13.439 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in a 13.439 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 13.439 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 13.439 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 13.439 * [taylor]: Taking taylor expansion of 1.0 in a 13.439 * [backup-simplify]: Simplify 1.0 into 1.0 13.439 * [taylor]: Taking taylor expansion of b in a 13.439 * [backup-simplify]: Simplify b into b 13.439 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 13.439 * [taylor]: Taking taylor expansion of 1.0 in a 13.439 * [backup-simplify]: Simplify 1.0 into 1.0 13.439 * [taylor]: Taking taylor expansion of a in a 13.439 * [backup-simplify]: Simplify 0 into 0 13.439 * [backup-simplify]: Simplify 1 into 1 13.439 * [taylor]: Taking taylor expansion of PI in a 13.439 * [backup-simplify]: Simplify PI into PI 13.439 * [taylor]: Taking taylor expansion of (+ a b) in a 13.439 * [taylor]: Taking taylor expansion of a in a 13.439 * [backup-simplify]: Simplify 0 into 0 13.439 * [backup-simplify]: Simplify 1 into 1 13.439 * [taylor]: Taking taylor expansion of b in a 13.439 * [backup-simplify]: Simplify b into b 13.439 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 13.440 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.440 * [backup-simplify]: Simplify (- 0) into 0 13.440 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 13.440 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 13.440 * [backup-simplify]: Simplify (+ 0 b) into b 13.441 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) b) into (* 1.0 PI) 13.441 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in b 13.441 * [taylor]: Taking taylor expansion of 0.5 in b 13.441 * [backup-simplify]: Simplify 0.5 into 0.5 13.441 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in b 13.441 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 13.441 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 13.441 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 13.441 * [taylor]: Taking taylor expansion of 1.0 in b 13.441 * [backup-simplify]: Simplify 1.0 into 1.0 13.441 * [taylor]: Taking taylor expansion of b in b 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.441 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 13.441 * [taylor]: Taking taylor expansion of 1.0 in b 13.441 * [backup-simplify]: Simplify 1.0 into 1.0 13.441 * [taylor]: Taking taylor expansion of a in b 13.441 * [backup-simplify]: Simplify a into a 13.441 * [taylor]: Taking taylor expansion of PI in b 13.441 * [backup-simplify]: Simplify PI into PI 13.441 * [taylor]: Taking taylor expansion of (+ a b) in b 13.441 * [taylor]: Taking taylor expansion of a in b 13.441 * [backup-simplify]: Simplify a into a 13.441 * [taylor]: Taking taylor expansion of b in b 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.442 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.442 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 13.442 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 13.442 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 13.442 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 13.442 * [backup-simplify]: Simplify (+ a 0) into a 13.442 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) a) into (* -1.0 PI) 13.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in b 13.442 * [taylor]: Taking taylor expansion of 0.5 in b 13.442 * [backup-simplify]: Simplify 0.5 into 0.5 13.442 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in b 13.442 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 13.442 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 13.443 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 13.443 * [taylor]: Taking taylor expansion of 1.0 in b 13.443 * [backup-simplify]: Simplify 1.0 into 1.0 13.443 * [taylor]: Taking taylor expansion of b in b 13.443 * [backup-simplify]: Simplify 0 into 0 13.443 * [backup-simplify]: Simplify 1 into 1 13.443 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 13.443 * [taylor]: Taking taylor expansion of 1.0 in b 13.443 * [backup-simplify]: Simplify 1.0 into 1.0 13.443 * [taylor]: Taking taylor expansion of a in b 13.443 * [backup-simplify]: Simplify a into a 13.443 * [taylor]: Taking taylor expansion of PI in b 13.443 * [backup-simplify]: Simplify PI into PI 13.443 * [taylor]: Taking taylor expansion of (+ a b) in b 13.443 * [taylor]: Taking taylor expansion of a in b 13.443 * [backup-simplify]: Simplify a into a 13.443 * [taylor]: Taking taylor expansion of b in b 13.443 * [backup-simplify]: Simplify 0 into 0 13.443 * [backup-simplify]: Simplify 1 into 1 13.444 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.444 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 13.444 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 13.444 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 13.444 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 13.444 * [backup-simplify]: Simplify (+ a 0) into a 13.444 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) a) into (* -1.0 PI) 13.445 * [backup-simplify]: Simplify (* 0.5 (* -1.0 PI)) into (* -0.5 PI) 13.445 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 13.445 * [taylor]: Taking taylor expansion of -0.5 in a 13.445 * [backup-simplify]: Simplify -0.5 into -0.5 13.445 * [taylor]: Taking taylor expansion of PI in a 13.446 * [backup-simplify]: Simplify PI into PI 13.446 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.447 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.448 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 13.449 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 13.449 * [backup-simplify]: Simplify (- 0) into 0 13.450 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.450 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 13.451 * [backup-simplify]: Simplify (+ 0 1) into 1 13.452 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) a) (+ (* (* -1.0 PI) (/ 1 a)))) into (* 2.0 (/ PI a)) 13.453 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))) into (* 1.0 (/ PI a)) 13.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 13.453 * [taylor]: Taking taylor expansion of 1.0 in a 13.453 * [backup-simplify]: Simplify 1.0 into 1.0 13.453 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.453 * [taylor]: Taking taylor expansion of PI in a 13.453 * [backup-simplify]: Simplify PI into PI 13.453 * [taylor]: Taking taylor expansion of a in a 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 1 into 1 13.454 * [backup-simplify]: Simplify (/ PI 1) into PI 13.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.455 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 13.455 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 13.456 * [backup-simplify]: Simplify 0 into 0 13.457 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 13.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 13.459 * [backup-simplify]: Simplify (- 0) into 0 13.459 * [backup-simplify]: Simplify (+ 0 0) into 0 13.460 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 13.460 * [backup-simplify]: Simplify (+ 0 0) into 0 13.461 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 PI) (/ 0 a)) (* (* 2.0 (/ PI a)) (/ 1 a)))) into (- (* 2.0 (/ PI (pow a 2)))) 13.462 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (- (* 1.0 (/ PI (pow a 2)))) 13.462 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 13.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 13.462 * [taylor]: Taking taylor expansion of 1.0 in a 13.462 * [backup-simplify]: Simplify 1.0 into 1.0 13.462 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.462 * [taylor]: Taking taylor expansion of PI in a 13.462 * [backup-simplify]: Simplify PI into PI 13.462 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.462 * [taylor]: Taking taylor expansion of a in a 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify 1 into 1 13.463 * [backup-simplify]: Simplify (* 1 1) into 1 13.463 * [backup-simplify]: Simplify (/ PI 1) into PI 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.466 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.466 * [backup-simplify]: Simplify (- 0) into 0 13.466 * [backup-simplify]: Simplify 0 into 0 13.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.469 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 13.469 * [backup-simplify]: Simplify (- 0) into 0 13.470 * [backup-simplify]: Simplify (+ 0 0) into 0 13.470 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.470 * [backup-simplify]: Simplify (+ 0 0) into 0 13.471 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 PI) (/ 0 a)) (* (* 2.0 (/ PI a)) (/ 0 a)) (* (- (* 2.0 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2.0 (/ PI (pow a 3))) 13.472 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))))) into (* 1.0 (/ PI (pow a 3))) 13.472 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 13.472 * [taylor]: Taking taylor expansion of 1.0 in a 13.472 * [backup-simplify]: Simplify 1.0 into 1.0 13.472 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.472 * [taylor]: Taking taylor expansion of PI in a 13.472 * [backup-simplify]: Simplify PI into PI 13.472 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.472 * [taylor]: Taking taylor expansion of a in a 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 1 into 1 13.472 * [backup-simplify]: Simplify (* 1 1) into 1 13.473 * [backup-simplify]: Simplify (* 1 1) into 1 13.473 * [backup-simplify]: Simplify (/ PI 1) into PI 13.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.479 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (* 1.0 (/ 1 b)) (* (/ 1 a) 1.0))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) 13.479 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 13.479 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in a 13.479 * [taylor]: Taking taylor expansion of 0.5 in a 13.479 * [backup-simplify]: Simplify 0.5 into 0.5 13.479 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in a 13.479 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in a 13.479 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in a 13.479 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 13.479 * [taylor]: Taking taylor expansion of 1.0 in a 13.479 * [backup-simplify]: Simplify 1.0 into 1.0 13.479 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.479 * [taylor]: Taking taylor expansion of b in a 13.479 * [backup-simplify]: Simplify b into b 13.479 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.479 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 13.479 * [taylor]: Taking taylor expansion of 1.0 in a 13.479 * [backup-simplify]: Simplify 1.0 into 1.0 13.479 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.479 * [taylor]: Taking taylor expansion of a in a 13.479 * [backup-simplify]: Simplify 0 into 0 13.479 * [backup-simplify]: Simplify 1 into 1 13.480 * [backup-simplify]: Simplify (/ 1 1) into 1 13.480 * [taylor]: Taking taylor expansion of PI in a 13.480 * [backup-simplify]: Simplify PI into PI 13.480 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.480 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.480 * [taylor]: Taking taylor expansion of a in a 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.480 * [backup-simplify]: Simplify (/ 1 1) into 1 13.480 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.480 * [taylor]: Taking taylor expansion of b in a 13.480 * [backup-simplify]: Simplify b into b 13.480 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.480 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.481 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.481 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.482 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 13.482 * [backup-simplify]: Simplify (+ 1 0) into 1 13.483 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 13.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in b 13.483 * [taylor]: Taking taylor expansion of 0.5 in b 13.483 * [backup-simplify]: Simplify 0.5 into 0.5 13.483 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in b 13.483 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 13.483 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 13.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.483 * [taylor]: Taking taylor expansion of 1.0 in b 13.483 * [backup-simplify]: Simplify 1.0 into 1.0 13.483 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.483 * [taylor]: Taking taylor expansion of b in b 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 1 into 1 13.483 * [backup-simplify]: Simplify (/ 1 1) into 1 13.483 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.483 * [taylor]: Taking taylor expansion of 1.0 in b 13.483 * [backup-simplify]: Simplify 1.0 into 1.0 13.483 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.484 * [taylor]: Taking taylor expansion of a in b 13.484 * [backup-simplify]: Simplify a into a 13.484 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.484 * [taylor]: Taking taylor expansion of PI in b 13.484 * [backup-simplify]: Simplify PI into PI 13.484 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.484 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.484 * [taylor]: Taking taylor expansion of a in b 13.484 * [backup-simplify]: Simplify a into a 13.484 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.484 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.484 * [taylor]: Taking taylor expansion of b in b 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (/ 1 1) into 1 13.484 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.485 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.485 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 13.485 * [backup-simplify]: Simplify (+ 0 1) into 1 13.486 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 13.486 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in b 13.486 * [taylor]: Taking taylor expansion of 0.5 in b 13.486 * [backup-simplify]: Simplify 0.5 into 0.5 13.486 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in b 13.486 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 13.486 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 13.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.486 * [taylor]: Taking taylor expansion of 1.0 in b 13.486 * [backup-simplify]: Simplify 1.0 into 1.0 13.486 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.486 * [taylor]: Taking taylor expansion of b in b 13.486 * [backup-simplify]: Simplify 0 into 0 13.486 * [backup-simplify]: Simplify 1 into 1 13.486 * [backup-simplify]: Simplify (/ 1 1) into 1 13.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.486 * [taylor]: Taking taylor expansion of 1.0 in b 13.486 * [backup-simplify]: Simplify 1.0 into 1.0 13.486 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.486 * [taylor]: Taking taylor expansion of a in b 13.486 * [backup-simplify]: Simplify a into a 13.486 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.486 * [taylor]: Taking taylor expansion of PI in b 13.486 * [backup-simplify]: Simplify PI into PI 13.486 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.486 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.487 * [taylor]: Taking taylor expansion of a in b 13.487 * [backup-simplify]: Simplify a into a 13.487 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.487 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.487 * [taylor]: Taking taylor expansion of b in b 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.487 * [backup-simplify]: Simplify (/ 1 1) into 1 13.487 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.487 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.488 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 13.488 * [backup-simplify]: Simplify (+ 0 1) into 1 13.489 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 13.489 * [backup-simplify]: Simplify (* 0.5 (* 1.0 PI)) into (* 0.5 PI) 13.489 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 13.489 * [taylor]: Taking taylor expansion of 0.5 in a 13.489 * [backup-simplify]: Simplify 0.5 into 0.5 13.489 * [taylor]: Taking taylor expansion of PI in a 13.489 * [backup-simplify]: Simplify PI into PI 13.490 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.490 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.492 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.492 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.492 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 13.492 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 13.492 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 13.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.493 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.494 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI a))) 1) (+ (* (* 1.0 PI) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI a))) 13.495 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 (/ PI a))) 13.495 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 13.495 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 13.495 * [taylor]: Taking taylor expansion of 1.0 in a 13.495 * [backup-simplify]: Simplify 1.0 into 1.0 13.495 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.495 * [taylor]: Taking taylor expansion of PI in a 13.495 * [backup-simplify]: Simplify PI into PI 13.495 * [taylor]: Taking taylor expansion of a in a 13.495 * [backup-simplify]: Simplify 0 into 0 13.495 * [backup-simplify]: Simplify 1 into 1 13.496 * [backup-simplify]: Simplify (/ PI 1) into PI 13.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.498 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 13.498 * [backup-simplify]: Simplify (- 0) into 0 13.498 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.501 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 13.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.502 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 13.502 * [backup-simplify]: Simplify (- 0) into 0 13.502 * [backup-simplify]: Simplify (+ 0 0) into 0 13.503 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (* 0 PI))) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 2))) 13.508 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI)))) into (* 1.0 (/ PI (pow a 2))) 13.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 13.508 * [taylor]: Taking taylor expansion of 1.0 in a 13.508 * [backup-simplify]: Simplify 1.0 into 1.0 13.508 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.508 * [taylor]: Taking taylor expansion of PI in a 13.508 * [backup-simplify]: Simplify PI into PI 13.508 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.508 * [taylor]: Taking taylor expansion of a in a 13.508 * [backup-simplify]: Simplify 0 into 0 13.508 * [backup-simplify]: Simplify 1 into 1 13.508 * [backup-simplify]: Simplify (* 1 1) into 1 13.509 * [backup-simplify]: Simplify (/ PI 1) into PI 13.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.514 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.516 * [backup-simplify]: Simplify (- 0) into 0 13.516 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.519 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.520 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 13.520 * [backup-simplify]: Simplify (- 0) into 0 13.520 * [backup-simplify]: Simplify (+ 0 0) into 0 13.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 0) (* 0 PI)))) into 0 13.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.522 * [backup-simplify]: Simplify (+ 0 0) into 0 13.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ 0 1)) (* (* 2.0 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 3)))) 13.524 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI))))) into (- (* 1.0 (/ PI (pow a 3)))) 13.524 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 13.524 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 13.524 * [taylor]: Taking taylor expansion of 1.0 in a 13.524 * [backup-simplify]: Simplify 1.0 into 1.0 13.524 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.524 * [taylor]: Taking taylor expansion of PI in a 13.524 * [backup-simplify]: Simplify PI into PI 13.524 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.524 * [taylor]: Taking taylor expansion of a in a 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (* 1 1) into 1 13.525 * [backup-simplify]: Simplify (* 1 1) into 1 13.525 * [backup-simplify]: Simplify (/ PI 1) into PI 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.531 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.531 * [backup-simplify]: Simplify (- 0) into 0 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.532 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (* 1.0 (/ 1 (- b))) (* (/ 1 (- a)) 1.0))) into (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) 13.532 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 13.532 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in a 13.532 * [taylor]: Taking taylor expansion of -0.5 in a 13.532 * [backup-simplify]: Simplify -0.5 into -0.5 13.532 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in a 13.532 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 13.532 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 13.532 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 13.532 * [taylor]: Taking taylor expansion of 1.0 in a 13.532 * [backup-simplify]: Simplify 1.0 into 1.0 13.532 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.532 * [taylor]: Taking taylor expansion of a in a 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [backup-simplify]: Simplify 1 into 1 13.532 * [backup-simplify]: Simplify (/ 1 1) into 1 13.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 13.533 * [taylor]: Taking taylor expansion of 1.0 in a 13.533 * [backup-simplify]: Simplify 1.0 into 1.0 13.533 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.533 * [taylor]: Taking taylor expansion of b in a 13.533 * [backup-simplify]: Simplify b into b 13.533 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.533 * [taylor]: Taking taylor expansion of PI in a 13.533 * [backup-simplify]: Simplify PI into PI 13.533 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.533 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.533 * [taylor]: Taking taylor expansion of a in a 13.533 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify 1 into 1 13.533 * [backup-simplify]: Simplify (/ 1 1) into 1 13.533 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.533 * [taylor]: Taking taylor expansion of b in a 13.533 * [backup-simplify]: Simplify b into b 13.533 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.533 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.534 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 13.534 * [backup-simplify]: Simplify (+ 1 0) into 1 13.535 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 13.535 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in b 13.535 * [taylor]: Taking taylor expansion of -0.5 in b 13.535 * [backup-simplify]: Simplify -0.5 into -0.5 13.535 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in b 13.535 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 13.535 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 13.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.535 * [taylor]: Taking taylor expansion of 1.0 in b 13.535 * [backup-simplify]: Simplify 1.0 into 1.0 13.535 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.535 * [taylor]: Taking taylor expansion of a in b 13.535 * [backup-simplify]: Simplify a into a 13.535 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.535 * [taylor]: Taking taylor expansion of 1.0 in b 13.535 * [backup-simplify]: Simplify 1.0 into 1.0 13.535 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.535 * [taylor]: Taking taylor expansion of b in b 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [backup-simplify]: Simplify 1 into 1 13.536 * [backup-simplify]: Simplify (/ 1 1) into 1 13.536 * [taylor]: Taking taylor expansion of PI in b 13.536 * [backup-simplify]: Simplify PI into PI 13.536 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.536 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.536 * [taylor]: Taking taylor expansion of a in b 13.536 * [backup-simplify]: Simplify a into a 13.536 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.536 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.536 * [taylor]: Taking taylor expansion of b in b 13.536 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify 1 into 1 13.536 * [backup-simplify]: Simplify (/ 1 1) into 1 13.536 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.537 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.537 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.544 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 13.545 * [backup-simplify]: Simplify (+ 0 1) into 1 13.545 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 13.545 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in b 13.545 * [taylor]: Taking taylor expansion of -0.5 in b 13.546 * [backup-simplify]: Simplify -0.5 into -0.5 13.546 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in b 13.546 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 13.546 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 13.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 13.546 * [taylor]: Taking taylor expansion of 1.0 in b 13.546 * [backup-simplify]: Simplify 1.0 into 1.0 13.546 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.546 * [taylor]: Taking taylor expansion of a in b 13.546 * [backup-simplify]: Simplify a into a 13.546 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 13.546 * [taylor]: Taking taylor expansion of 1.0 in b 13.546 * [backup-simplify]: Simplify 1.0 into 1.0 13.546 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.546 * [taylor]: Taking taylor expansion of b in b 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify 1 into 1 13.546 * [backup-simplify]: Simplify (/ 1 1) into 1 13.546 * [taylor]: Taking taylor expansion of PI in b 13.546 * [backup-simplify]: Simplify PI into PI 13.546 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.546 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.546 * [taylor]: Taking taylor expansion of a in b 13.546 * [backup-simplify]: Simplify a into a 13.546 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.546 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.546 * [taylor]: Taking taylor expansion of b in b 13.546 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify 1 into 1 13.547 * [backup-simplify]: Simplify (/ 1 1) into 1 13.547 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 13.547 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 13.548 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 13.548 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 13.548 * [backup-simplify]: Simplify (+ 0 1) into 1 13.549 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 13.550 * [backup-simplify]: Simplify (* -0.5 (* -1.0 PI)) into (* 0.5 PI) 13.550 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 13.550 * [taylor]: Taking taylor expansion of 0.5 in a 13.550 * [backup-simplify]: Simplify 0.5 into 0.5 13.550 * [taylor]: Taking taylor expansion of PI in a 13.550 * [backup-simplify]: Simplify PI into PI 13.550 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.550 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.551 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 13.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.551 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 13.552 * [backup-simplify]: Simplify (- 0) into 0 13.552 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 13.552 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 13.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.553 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.553 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) 1) (+ (* (* -1.0 PI) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI a)) 13.554 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))) into (- (* 1.0 (/ PI a))) 13.554 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 13.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 13.554 * [taylor]: Taking taylor expansion of 1.0 in a 13.554 * [backup-simplify]: Simplify 1.0 into 1.0 13.554 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.554 * [taylor]: Taking taylor expansion of PI in a 13.554 * [backup-simplify]: Simplify PI into PI 13.554 * [taylor]: Taking taylor expansion of a in a 13.554 * [backup-simplify]: Simplify 0 into 0 13.554 * [backup-simplify]: Simplify 1 into 1 13.554 * [backup-simplify]: Simplify (/ PI 1) into PI 13.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.555 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 13.555 * [backup-simplify]: Simplify (- 0) into 0 13.555 * [backup-simplify]: Simplify 0 into 0 13.556 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 13.556 * [backup-simplify]: Simplify 0 into 0 13.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.556 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 13.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.557 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 13.557 * [backup-simplify]: Simplify (- 0) into 0 13.558 * [backup-simplify]: Simplify (+ 0 0) into 0 13.558 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 13.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.559 * [backup-simplify]: Simplify (+ 0 0) into 0 13.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 PI) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 2)))) 13.561 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (* 1.0 (/ PI (pow a 2))) 13.561 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 13.561 * [taylor]: Taking taylor expansion of 1.0 in a 13.561 * [backup-simplify]: Simplify 1.0 into 1.0 13.561 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.561 * [taylor]: Taking taylor expansion of PI in a 13.561 * [backup-simplify]: Simplify PI into PI 13.561 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.561 * [taylor]: Taking taylor expansion of a in a 13.561 * [backup-simplify]: Simplify 0 into 0 13.561 * [backup-simplify]: Simplify 1 into 1 13.561 * [backup-simplify]: Simplify (* 1 1) into 1 13.561 * [backup-simplify]: Simplify (/ PI 1) into PI 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.564 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.564 * [backup-simplify]: Simplify 0 into 0 13.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.565 * [backup-simplify]: Simplify (- 0) into 0 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.567 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 13.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.568 * [backup-simplify]: Simplify (- 0) into 0 13.568 * [backup-simplify]: Simplify (+ 0 0) into 0 13.569 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 13.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.570 * [backup-simplify]: Simplify (+ 0 0) into 0 13.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 PI) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ 0 1)) (* (- (* 2.0 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 3))) 13.574 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI (pow a 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))))) into (- (* 1.0 (/ PI (pow a 3)))) 13.574 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 13.574 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 13.574 * [taylor]: Taking taylor expansion of 1.0 in a 13.574 * [backup-simplify]: Simplify 1.0 into 1.0 13.574 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.574 * [taylor]: Taking taylor expansion of PI in a 13.574 * [backup-simplify]: Simplify PI into PI 13.574 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.574 * [taylor]: Taking taylor expansion of a in a 13.574 * [backup-simplify]: Simplify 0 into 0 13.574 * [backup-simplify]: Simplify 1 into 1 13.575 * [backup-simplify]: Simplify (* 1 1) into 1 13.575 * [backup-simplify]: Simplify (* 1 1) into 1 13.576 * [backup-simplify]: Simplify (/ PI 1) into PI 13.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.585 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.586 * [backup-simplify]: Simplify (- 0) into 0 13.586 * [backup-simplify]: Simplify 0 into 0 13.586 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.586 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 13.587 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 13.587 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 13.587 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 13.587 * [taylor]: Taking taylor expansion of 0.5 in a 13.587 * [backup-simplify]: Simplify 0.5 into 0.5 13.587 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 13.587 * [taylor]: Taking taylor expansion of PI in a 13.587 * [backup-simplify]: Simplify PI into PI 13.587 * [taylor]: Taking taylor expansion of (+ a b) in a 13.587 * [taylor]: Taking taylor expansion of a in a 13.587 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify 1 into 1 13.587 * [taylor]: Taking taylor expansion of b in a 13.587 * [backup-simplify]: Simplify b into b 13.587 * [backup-simplify]: Simplify (+ 0 b) into b 13.587 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 13.588 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 13.588 * [taylor]: Taking taylor expansion of 0.5 in b 13.588 * [backup-simplify]: Simplify 0.5 into 0.5 13.588 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 13.588 * [taylor]: Taking taylor expansion of PI in b 13.588 * [backup-simplify]: Simplify PI into PI 13.588 * [taylor]: Taking taylor expansion of (+ a b) in b 13.588 * [taylor]: Taking taylor expansion of a in b 13.588 * [backup-simplify]: Simplify a into a 13.588 * [taylor]: Taking taylor expansion of b in b 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify 1 into 1 13.588 * [backup-simplify]: Simplify (+ a 0) into a 13.588 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 13.588 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 13.588 * [taylor]: Taking taylor expansion of 0.5 in b 13.588 * [backup-simplify]: Simplify 0.5 into 0.5 13.588 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 13.588 * [taylor]: Taking taylor expansion of PI in b 13.588 * [backup-simplify]: Simplify PI into PI 13.588 * [taylor]: Taking taylor expansion of (+ a b) in b 13.588 * [taylor]: Taking taylor expansion of a in b 13.588 * [backup-simplify]: Simplify a into a 13.588 * [taylor]: Taking taylor expansion of b in b 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify 1 into 1 13.588 * [backup-simplify]: Simplify (+ a 0) into a 13.588 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 13.589 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 13.589 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 13.589 * [taylor]: Taking taylor expansion of 0.5 in a 13.589 * [backup-simplify]: Simplify 0.5 into 0.5 13.589 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.589 * [taylor]: Taking taylor expansion of PI in a 13.589 * [backup-simplify]: Simplify PI into PI 13.589 * [taylor]: Taking taylor expansion of a in a 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify 1 into 1 13.589 * [backup-simplify]: Simplify (/ PI 1) into PI 13.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 13.591 * [backup-simplify]: Simplify 0 into 0 13.592 * [backup-simplify]: Simplify (+ 0 1) into 1 13.592 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 13.592 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 13.592 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 13.592 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 13.592 * [taylor]: Taking taylor expansion of 0.5 in a 13.592 * [backup-simplify]: Simplify 0.5 into 0.5 13.593 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.593 * [taylor]: Taking taylor expansion of PI in a 13.593 * [backup-simplify]: Simplify PI into PI 13.593 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.593 * [taylor]: Taking taylor expansion of a in a 13.593 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify 1 into 1 13.593 * [backup-simplify]: Simplify (* 1 1) into 1 13.594 * [backup-simplify]: Simplify (/ PI 1) into PI 13.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.599 * [backup-simplify]: Simplify (- 0) into 0 13.599 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.601 * [backup-simplify]: Simplify 0 into 0 13.601 * [backup-simplify]: Simplify (+ 0 0) into 0 13.602 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 13.602 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 13.602 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 13.602 * [taylor]: Taking taylor expansion of 0.5 in a 13.602 * [backup-simplify]: Simplify 0.5 into 0.5 13.602 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.602 * [taylor]: Taking taylor expansion of PI in a 13.603 * [backup-simplify]: Simplify PI into PI 13.603 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.603 * [taylor]: Taking taylor expansion of a in a 13.603 * [backup-simplify]: Simplify 0 into 0 13.603 * [backup-simplify]: Simplify 1 into 1 13.603 * [backup-simplify]: Simplify (* 1 1) into 1 13.603 * [backup-simplify]: Simplify (* 1 1) into 1 13.604 * [backup-simplify]: Simplify (/ PI 1) into PI 13.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.613 * [backup-simplify]: Simplify 0 into 0 13.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.618 * [backup-simplify]: Simplify (- 0) into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.620 * [backup-simplify]: Simplify 0 into 0 13.620 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 13.621 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 13.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 13.621 * [taylor]: Taking taylor expansion of 0.5 in a 13.621 * [backup-simplify]: Simplify 0.5 into 0.5 13.622 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 13.622 * [taylor]: Taking taylor expansion of PI in a 13.622 * [backup-simplify]: Simplify PI into PI 13.622 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.622 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.622 * [taylor]: Taking taylor expansion of a in a 13.622 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify 1 into 1 13.622 * [backup-simplify]: Simplify (/ 1 1) into 1 13.622 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.622 * [taylor]: Taking taylor expansion of b in a 13.622 * [backup-simplify]: Simplify b into b 13.622 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.623 * [backup-simplify]: Simplify (+ 1 0) into 1 13.623 * [backup-simplify]: Simplify (/ PI 1) into PI 13.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 13.623 * [taylor]: Taking taylor expansion of 0.5 in b 13.623 * [backup-simplify]: Simplify 0.5 into 0.5 13.623 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 13.623 * [taylor]: Taking taylor expansion of PI in b 13.624 * [backup-simplify]: Simplify PI into PI 13.624 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.624 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.624 * [taylor]: Taking taylor expansion of a in b 13.624 * [backup-simplify]: Simplify a into a 13.624 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.624 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.624 * [taylor]: Taking taylor expansion of b in b 13.624 * [backup-simplify]: Simplify 0 into 0 13.624 * [backup-simplify]: Simplify 1 into 1 13.624 * [backup-simplify]: Simplify (/ 1 1) into 1 13.625 * [backup-simplify]: Simplify (+ 0 1) into 1 13.625 * [backup-simplify]: Simplify (/ PI 1) into PI 13.625 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 13.625 * [taylor]: Taking taylor expansion of 0.5 in b 13.625 * [backup-simplify]: Simplify 0.5 into 0.5 13.625 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 13.625 * [taylor]: Taking taylor expansion of PI in b 13.625 * [backup-simplify]: Simplify PI into PI 13.625 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.625 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.625 * [taylor]: Taking taylor expansion of a in b 13.625 * [backup-simplify]: Simplify a into a 13.626 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.626 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.626 * [taylor]: Taking taylor expansion of b in b 13.626 * [backup-simplify]: Simplify 0 into 0 13.626 * [backup-simplify]: Simplify 1 into 1 13.626 * [backup-simplify]: Simplify (/ 1 1) into 1 13.626 * [backup-simplify]: Simplify (+ 0 1) into 1 13.627 * [backup-simplify]: Simplify (/ PI 1) into PI 13.628 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.628 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 13.628 * [taylor]: Taking taylor expansion of 0.5 in a 13.628 * [backup-simplify]: Simplify 0.5 into 0.5 13.628 * [taylor]: Taking taylor expansion of PI in a 13.628 * [backup-simplify]: Simplify PI into PI 13.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 13.629 * [backup-simplify]: Simplify 0 into 0 13.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.629 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 13.631 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 13.631 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 13.631 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 13.631 * [taylor]: Taking taylor expansion of 0.5 in a 13.631 * [backup-simplify]: Simplify 0.5 into 0.5 13.631 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.631 * [taylor]: Taking taylor expansion of PI in a 13.631 * [backup-simplify]: Simplify PI into PI 13.631 * [taylor]: Taking taylor expansion of a in a 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 1 into 1 13.631 * [backup-simplify]: Simplify (/ PI 1) into PI 13.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.635 * [backup-simplify]: Simplify (- 0) into 0 13.635 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.636 * [backup-simplify]: Simplify 0 into 0 13.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (+ 0 0) into 0 13.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 13.640 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 13.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 13.640 * [taylor]: Taking taylor expansion of 0.5 in a 13.640 * [backup-simplify]: Simplify 0.5 into 0.5 13.640 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.640 * [taylor]: Taking taylor expansion of PI in a 13.640 * [backup-simplify]: Simplify PI into PI 13.640 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.640 * [taylor]: Taking taylor expansion of a in a 13.640 * [backup-simplify]: Simplify 0 into 0 13.640 * [backup-simplify]: Simplify 1 into 1 13.641 * [backup-simplify]: Simplify (* 1 1) into 1 13.641 * [backup-simplify]: Simplify (/ PI 1) into PI 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.648 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.648 * [backup-simplify]: Simplify 0 into 0 13.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.651 * [backup-simplify]: Simplify (- 0) into 0 13.651 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 13.653 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 13.653 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 13.653 * [taylor]: Taking taylor expansion of -0.5 in a 13.653 * [backup-simplify]: Simplify -0.5 into -0.5 13.653 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 13.653 * [taylor]: Taking taylor expansion of PI in a 13.653 * [backup-simplify]: Simplify PI into PI 13.653 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.653 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.653 * [taylor]: Taking taylor expansion of a in a 13.653 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify 1 into 1 13.654 * [backup-simplify]: Simplify (/ 1 1) into 1 13.654 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.654 * [taylor]: Taking taylor expansion of b in a 13.654 * [backup-simplify]: Simplify b into b 13.654 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.654 * [backup-simplify]: Simplify (+ 1 0) into 1 13.655 * [backup-simplify]: Simplify (/ PI 1) into PI 13.655 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 13.655 * [taylor]: Taking taylor expansion of -0.5 in b 13.655 * [backup-simplify]: Simplify -0.5 into -0.5 13.655 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 13.655 * [taylor]: Taking taylor expansion of PI in b 13.655 * [backup-simplify]: Simplify PI into PI 13.655 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.655 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.655 * [taylor]: Taking taylor expansion of a in b 13.655 * [backup-simplify]: Simplify a into a 13.655 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.655 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.655 * [taylor]: Taking taylor expansion of b in b 13.655 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify 1 into 1 13.656 * [backup-simplify]: Simplify (/ 1 1) into 1 13.656 * [backup-simplify]: Simplify (+ 0 1) into 1 13.657 * [backup-simplify]: Simplify (/ PI 1) into PI 13.657 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 13.657 * [taylor]: Taking taylor expansion of -0.5 in b 13.657 * [backup-simplify]: Simplify -0.5 into -0.5 13.657 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 13.657 * [taylor]: Taking taylor expansion of PI in b 13.657 * [backup-simplify]: Simplify PI into PI 13.657 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.657 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.657 * [taylor]: Taking taylor expansion of a in b 13.657 * [backup-simplify]: Simplify a into a 13.657 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.657 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.657 * [taylor]: Taking taylor expansion of b in b 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify 1 into 1 13.657 * [backup-simplify]: Simplify (/ 1 1) into 1 13.658 * [backup-simplify]: Simplify (+ 0 1) into 1 13.658 * [backup-simplify]: Simplify (/ PI 1) into PI 13.659 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.659 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 13.659 * [taylor]: Taking taylor expansion of -0.5 in a 13.659 * [backup-simplify]: Simplify -0.5 into -0.5 13.659 * [taylor]: Taking taylor expansion of PI in a 13.659 * [backup-simplify]: Simplify PI into PI 13.660 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 13.660 * [backup-simplify]: Simplify 0 into 0 13.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.661 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 13.662 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 13.662 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 13.662 * [taylor]: Taking taylor expansion of 0.5 in a 13.662 * [backup-simplify]: Simplify 0.5 into 0.5 13.662 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.662 * [taylor]: Taking taylor expansion of PI in a 13.662 * [backup-simplify]: Simplify PI into PI 13.662 * [taylor]: Taking taylor expansion of a in a 13.662 * [backup-simplify]: Simplify 0 into 0 13.662 * [backup-simplify]: Simplify 1 into 1 13.663 * [backup-simplify]: Simplify (/ PI 1) into PI 13.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.666 * [backup-simplify]: Simplify 0 into 0 13.667 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.667 * [backup-simplify]: Simplify 0 into 0 13.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.668 * [backup-simplify]: Simplify (+ 0 0) into 0 13.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 13.671 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 13.671 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 13.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 13.671 * [taylor]: Taking taylor expansion of 0.5 in a 13.671 * [backup-simplify]: Simplify 0.5 into 0.5 13.671 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.671 * [taylor]: Taking taylor expansion of PI in a 13.671 * [backup-simplify]: Simplify PI into PI 13.671 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.671 * [taylor]: Taking taylor expansion of a in a 13.671 * [backup-simplify]: Simplify 0 into 0 13.671 * [backup-simplify]: Simplify 1 into 1 13.671 * [backup-simplify]: Simplify (* 1 1) into 1 13.671 * [backup-simplify]: Simplify (/ PI 1) into PI 13.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.681 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.681 * [backup-simplify]: Simplify (- 0) into 0 13.681 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.683 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.683 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify 0 into 0 13.684 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 13.684 * [backup-simplify]: Simplify (* (- b a) (* a b)) into (* (- b a) (* b a)) 13.684 * [approximate]: Taking taylor expansion of (* (- b a) (* b a)) in (b a) around 0 13.684 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in a 13.684 * [taylor]: Taking taylor expansion of (- b a) in a 13.684 * [taylor]: Taking taylor expansion of b in a 13.684 * [backup-simplify]: Simplify b into b 13.684 * [taylor]: Taking taylor expansion of a in a 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of (* b a) in a 13.684 * [taylor]: Taking taylor expansion of b in a 13.684 * [backup-simplify]: Simplify b into b 13.684 * [taylor]: Taking taylor expansion of a in a 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in b 13.684 * [taylor]: Taking taylor expansion of (- b a) in b 13.684 * [taylor]: Taking taylor expansion of b in b 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of a in b 13.684 * [backup-simplify]: Simplify a into a 13.684 * [taylor]: Taking taylor expansion of (* b a) in b 13.684 * [taylor]: Taking taylor expansion of b in b 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of a in b 13.684 * [backup-simplify]: Simplify a into a 13.684 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in b 13.684 * [taylor]: Taking taylor expansion of (- b a) in b 13.684 * [taylor]: Taking taylor expansion of b in b 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of a in b 13.684 * [backup-simplify]: Simplify a into a 13.684 * [taylor]: Taking taylor expansion of (* b a) in b 13.684 * [taylor]: Taking taylor expansion of b in b 13.684 * [backup-simplify]: Simplify 0 into 0 13.684 * [backup-simplify]: Simplify 1 into 1 13.684 * [taylor]: Taking taylor expansion of a in b 13.684 * [backup-simplify]: Simplify a into a 13.684 * [backup-simplify]: Simplify (- a) into (- a) 13.684 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.684 * [backup-simplify]: Simplify (* 0 a) into 0 13.685 * [backup-simplify]: Simplify (* (- a) 0) into 0 13.685 * [taylor]: Taking taylor expansion of 0 in a 13.685 * [backup-simplify]: Simplify 0 into 0 13.685 * [backup-simplify]: Simplify 0 into 0 13.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 13.685 * [backup-simplify]: Simplify (- 0) into 0 13.685 * [backup-simplify]: Simplify (+ 1 0) into 1 13.686 * [backup-simplify]: Simplify (+ (* (- a) a) (* 1 0)) into (- (pow a 2)) 13.686 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 13.686 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.686 * [taylor]: Taking taylor expansion of a in a 13.686 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify 1 into 1 13.686 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 13.687 * [backup-simplify]: Simplify (- 0) into 0 13.687 * [backup-simplify]: Simplify (+ 0 0) into 0 13.687 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 a) (* 0 0))) into a 13.687 * [taylor]: Taking taylor expansion of a in a 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify 1 into 1 13.687 * [backup-simplify]: Simplify 0 into 0 13.687 * [backup-simplify]: Simplify 0 into 0 13.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 13.688 * [backup-simplify]: Simplify (- 0) into 0 13.688 * [backup-simplify]: Simplify (+ 0 0) into 0 13.689 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 a) (* 0 0)))) into 0 13.689 * [taylor]: Taking taylor expansion of 0 in a 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 1 into 1 13.689 * [backup-simplify]: Simplify (* 1 1) into 1 13.689 * [backup-simplify]: Simplify (- 1) into -1 13.689 * [backup-simplify]: Simplify -1 into -1 13.689 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 13.691 * [backup-simplify]: Simplify (- 0) into 0 13.691 * [backup-simplify]: Simplify (+ 0 0) into 0 13.692 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 13.692 * [taylor]: Taking taylor expansion of 0 in a 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.692 * [backup-simplify]: Simplify (- 0) into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify (+ (* -1 (* (pow a 2) b)) (* 1 (* a (pow b 2)))) into (- (* a (pow b 2)) (* (pow a 2) b)) 13.693 * [backup-simplify]: Simplify (* (- (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 b))) into (/ (- (/ 1 b) (/ 1 a)) (* a b)) 13.693 * [approximate]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in (b a) around 0 13.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in a 13.693 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 13.693 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.693 * [taylor]: Taking taylor expansion of b in a 13.693 * [backup-simplify]: Simplify b into b 13.693 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.693 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.693 * [taylor]: Taking taylor expansion of a in a 13.693 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify 1 into 1 13.693 * [backup-simplify]: Simplify (/ 1 1) into 1 13.693 * [taylor]: Taking taylor expansion of (* a b) in a 13.693 * [taylor]: Taking taylor expansion of a in a 13.693 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify 1 into 1 13.693 * [taylor]: Taking taylor expansion of b in a 13.693 * [backup-simplify]: Simplify b into b 13.694 * [backup-simplify]: Simplify (- 1) into -1 13.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.694 * [backup-simplify]: Simplify (* 0 b) into 0 13.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.694 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 13.694 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in b 13.694 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.694 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.694 * [taylor]: Taking taylor expansion of b in b 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (/ 1 1) into 1 13.695 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.695 * [taylor]: Taking taylor expansion of a in b 13.695 * [backup-simplify]: Simplify a into a 13.695 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.695 * [taylor]: Taking taylor expansion of (* a b) in b 13.695 * [taylor]: Taking taylor expansion of a in b 13.695 * [backup-simplify]: Simplify a into a 13.695 * [taylor]: Taking taylor expansion of b in b 13.695 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (+ 1 0) into 1 13.695 * [backup-simplify]: Simplify (* a 0) into 0 13.696 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 13.696 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.696 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in b 13.696 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.696 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.696 * [taylor]: Taking taylor expansion of b in b 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.696 * [backup-simplify]: Simplify (/ 1 1) into 1 13.696 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.696 * [taylor]: Taking taylor expansion of a in b 13.696 * [backup-simplify]: Simplify a into a 13.696 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.696 * [taylor]: Taking taylor expansion of (* a b) in b 13.696 * [taylor]: Taking taylor expansion of a in b 13.696 * [backup-simplify]: Simplify a into a 13.696 * [taylor]: Taking taylor expansion of b in b 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.697 * [backup-simplify]: Simplify (+ 1 0) into 1 13.697 * [backup-simplify]: Simplify (* a 0) into 0 13.697 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 13.697 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.698 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.698 * [taylor]: Taking taylor expansion of a in a 13.698 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify 1 into 1 13.698 * [backup-simplify]: Simplify (/ 1 1) into 1 13.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.698 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 13.698 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 13.699 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 13.699 * [backup-simplify]: Simplify (- (/ (- (/ 1 a)) a) (+ (* (/ 1 a) (/ 0 a)))) into (- (/ 1 (pow a 2))) 13.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 13.699 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 13.699 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.699 * [taylor]: Taking taylor expansion of a in a 13.699 * [backup-simplify]: Simplify 0 into 0 13.699 * [backup-simplify]: Simplify 1 into 1 13.699 * [backup-simplify]: Simplify (* 1 1) into 1 13.700 * [backup-simplify]: Simplify (/ 1 1) into 1 13.700 * [backup-simplify]: Simplify (- 1) into -1 13.700 * [backup-simplify]: Simplify -1 into -1 13.700 * [backup-simplify]: Simplify 1 into 1 13.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.701 * [backup-simplify]: Simplify (- 0) into 0 13.701 * [backup-simplify]: Simplify (+ 0 0) into 0 13.701 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.702 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)))) into 0 13.702 * [taylor]: Taking taylor expansion of 0 in a 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.703 * [backup-simplify]: Simplify (- 0) into 0 13.703 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.705 * [backup-simplify]: Simplify (- 0) into 0 13.706 * [backup-simplify]: Simplify (+ 0 0) into 0 13.706 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.707 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.707 * [taylor]: Taking taylor expansion of 0 in a 13.707 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.709 * [backup-simplify]: Simplify (- 0) into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.710 * [backup-simplify]: Simplify 0 into 0 13.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.711 * [backup-simplify]: Simplify (- 0) into 0 13.712 * [backup-simplify]: Simplify (+ 0 0) into 0 13.713 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.713 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.713 * [taylor]: Taking taylor expansion of 0 in a 13.713 * [backup-simplify]: Simplify 0 into 0 13.713 * [backup-simplify]: Simplify 0 into 0 13.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.716 * [backup-simplify]: Simplify (- 0) into 0 13.716 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2))) (* -1 (* (pow (/ 1 a) -2) (/ 1 (/ 1 b))))) into (- (* a (pow b 2)) (* (pow a 2) b)) 13.717 * [backup-simplify]: Simplify (* (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- b)))) into (/ (- (/ 1 a) (/ 1 b)) (* a b)) 13.717 * [approximate]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in (b a) around 0 13.717 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in a 13.717 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 13.717 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.717 * [taylor]: Taking taylor expansion of a in a 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify 1 into 1 13.717 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.717 * [taylor]: Taking taylor expansion of b in a 13.717 * [backup-simplify]: Simplify b into b 13.717 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.717 * [taylor]: Taking taylor expansion of (* a b) in a 13.717 * [taylor]: Taking taylor expansion of a in a 13.718 * [backup-simplify]: Simplify 0 into 0 13.718 * [backup-simplify]: Simplify 1 into 1 13.718 * [taylor]: Taking taylor expansion of b in a 13.718 * [backup-simplify]: Simplify b into b 13.718 * [backup-simplify]: Simplify (+ 1 0) into 1 13.718 * [backup-simplify]: Simplify (* 0 b) into 0 13.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.719 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.719 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in b 13.719 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 13.719 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.719 * [taylor]: Taking taylor expansion of a in b 13.719 * [backup-simplify]: Simplify a into a 13.719 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.719 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.719 * [taylor]: Taking taylor expansion of b in b 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.719 * [backup-simplify]: Simplify (/ 1 1) into 1 13.719 * [taylor]: Taking taylor expansion of (* a b) in b 13.719 * [taylor]: Taking taylor expansion of a in b 13.719 * [backup-simplify]: Simplify a into a 13.719 * [taylor]: Taking taylor expansion of b in b 13.719 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify 1 into 1 13.720 * [backup-simplify]: Simplify (- 1) into -1 13.720 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.720 * [backup-simplify]: Simplify (* a 0) into 0 13.721 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 13.721 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 13.721 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in b 13.721 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 13.721 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.721 * [taylor]: Taking taylor expansion of a in b 13.721 * [backup-simplify]: Simplify a into a 13.721 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.721 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.721 * [taylor]: Taking taylor expansion of b in b 13.721 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify 1 into 1 13.721 * [backup-simplify]: Simplify (/ 1 1) into 1 13.722 * [taylor]: Taking taylor expansion of (* a b) in b 13.722 * [taylor]: Taking taylor expansion of a in b 13.722 * [backup-simplify]: Simplify a into a 13.722 * [taylor]: Taking taylor expansion of b in b 13.722 * [backup-simplify]: Simplify 0 into 0 13.722 * [backup-simplify]: Simplify 1 into 1 13.722 * [backup-simplify]: Simplify (- 1) into -1 13.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.722 * [backup-simplify]: Simplify (* a 0) into 0 13.723 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 13.723 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 13.723 * [taylor]: Taking taylor expansion of (/ -1 a) in a 13.723 * [taylor]: Taking taylor expansion of -1 in a 13.723 * [backup-simplify]: Simplify -1 into -1 13.723 * [taylor]: Taking taylor expansion of a in a 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify 1 into 1 13.724 * [backup-simplify]: Simplify (/ -1 1) into -1 13.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.725 * [backup-simplify]: Simplify (- 0) into 0 13.725 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.725 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 13.726 * [backup-simplify]: Simplify (- (/ (/ 1 a) a) (+ (* (/ -1 a) (/ 0 a)))) into (/ 1 (pow a 2)) 13.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 13.726 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.726 * [taylor]: Taking taylor expansion of a in a 13.726 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify 1 into 1 13.726 * [backup-simplify]: Simplify (* 1 1) into 1 13.726 * [backup-simplify]: Simplify (/ 1 1) into 1 13.727 * [backup-simplify]: Simplify 1 into 1 13.727 * [backup-simplify]: Simplify -1 into -1 13.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.728 * [backup-simplify]: Simplify (- 0) into 0 13.728 * [backup-simplify]: Simplify (+ 0 0) into 0 13.729 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.729 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)))) into 0 13.730 * [taylor]: Taking taylor expansion of 0 in a 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.731 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.732 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.733 * [backup-simplify]: Simplify (- 0) into 0 13.733 * [backup-simplify]: Simplify (+ 0 0) into 0 13.734 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.735 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.735 * [taylor]: Taking taylor expansion of 0 in a 13.735 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.739 * [backup-simplify]: Simplify (- 0) into 0 13.739 * [backup-simplify]: Simplify (+ 0 0) into 0 13.740 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.741 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 13.741 * [taylor]: Taking taylor expansion of 0 in a 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.743 * [backup-simplify]: Simplify 0 into 0 13.744 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2))) (* 1 (* (pow (/ 1 (- a)) -2) (/ 1 (/ 1 (- b)))))) into (- (* a (pow b 2)) (* (pow a 2) b)) 13.744 * * * [progress]: simplifying candidates 13.750 * [simplify]: Simplifying: (expm1 (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- b a) (* a b)))) (log1p (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- b a) (* a b)))) (- (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (+ (log a) (log b)))) (- (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (log (* a b)))) (- (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* (- b a) (* a b)))) (- (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (+ (log a) (log b)))) (- (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (log (* a b)))) (- (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* (- b a) (* a b)))) (- (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (+ (log a) (log b)))) (- (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (log (* a b)))) (- (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* (- b a) (* a b)))) (- (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (- b a)) (+ (log a) (log b)))) (- (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ 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(+ (* (* a 1.0) (* a 1.0)) (* (* 1.0 b) (* a 1.0))))) (* (* (- b a) (* a b)) (+ (* 1.0 b) (* a 1.0))) (* (* (- b a) (* a b)) (+ b a)) (expm1 (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 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(/ (/ PI 2.0) (+ b a)) (* (sqrt (* 1.0 (- b a))) 1.0)) (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (* 1.0 (- b a)) 1.0) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (pow (* 1.0 b) 3) (pow (* a 1.0) 3))) (/ (* (* (/ PI 2.0) 1.0) (* (* 1.0 (+ b a)) (* 1.0 (- b a)))) (+ b a)) (* (* (/ PI 2.0) 1.0) (* 1.0 (- b a))) (expm1 (/ (/ PI 2.0) (+ b a))) (log1p (/ (/ PI 2.0) (+ b a))) (log (/ (/ PI 2.0) (+ b a))) (log (/ (/ PI 2.0) (+ b a))) (log (/ (/ PI 2.0) (+ b a))) (exp (/ (/ PI 2.0) (+ b a))) (pow (/ (/ PI 2.0) (+ b a)) 3) (pow (/ (/ PI 2.0) (+ b a)) 3) (* (cbrt (/ (/ PI 2.0) (+ b a))) (cbrt (/ (/ PI 2.0) (+ b a)))) (cbrt (/ (/ PI 2.0) (+ b a))) (pow (/ (/ PI 2.0) (+ b a)) 3) (sqrt (/ (/ PI 2.0) (+ b a))) (sqrt (/ (/ PI 2.0) (+ b a))) (- (/ PI 2.0)) (- (+ b a)) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt (/ PI 2.0)) (cbrt (+ b a))) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (sqrt (+ b a))) (/ (cbrt (/ PI 2.0)) (sqrt (+ b a))) (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (/ (cbrt (/ PI 2.0)) (+ b a)) (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (/ (cbrt (/ PI 2.0)) (+ b a)) (/ (sqrt (/ PI 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI 2.0)) (cbrt (+ b a))) (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (sqrt (/ PI 2.0)) (/ (sqrt (/ PI 2.0)) (+ b a)) (sqrt (/ PI 2.0)) (/ (sqrt (/ PI 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) (cbrt 2.0)) (cbrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ (cbrt PI) (cbrt 2.0)) (sqrt (+ b a))) (* (/ (cbrt PI) (cbrt 2.0)) (/ (cbrt PI) (cbrt 2.0))) (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a)) (* (/ (cbrt PI) (cbrt 2.0)) (/ (cbrt PI) (cbrt 2.0))) (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (cbrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (/ (/ (cbrt PI) (sqrt 2.0)) (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (/ (/ (cbrt PI) (sqrt 2.0)) (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) 2.0) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (/ (cbrt PI) 2.0) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (/ (cbrt PI) 2.0) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (/ (cbrt PI) 2.0) (+ b a)) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt (+ b a))) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ (sqrt PI) (cbrt 2.0)) (sqrt (+ b a))) (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (sqrt PI) (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (sqrt PI) (sqrt 2.0)) (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ (sqrt PI) (sqrt 2.0)) (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) 2.0) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (/ (sqrt PI) 2.0) (sqrt (+ b a))) (sqrt PI) (/ (/ (sqrt PI) 2.0) (+ b a)) (sqrt PI) (/ (/ (sqrt PI) 2.0) (+ b a)) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI (cbrt 2.0)) (cbrt (+ b a))) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ PI (cbrt 2.0)) (sqrt (+ b a))) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ (/ PI (cbrt 2.0)) (+ b a)) (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (/ (/ PI (cbrt 2.0)) (+ b a)) (/ (/ 1 (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI (sqrt 2.0)) (cbrt (+ b a))) (/ (/ 1 (sqrt 2.0)) (sqrt (+ b a))) (/ (/ PI (sqrt 2.0)) (sqrt (+ b a))) (/ 1 (sqrt 2.0)) (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1 (sqrt 2.0)) (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ (/ PI 2.0) (sqrt (+ b a))) 1 (/ (/ PI 2.0) (+ b a)) 1 (/ (/ PI 2.0) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ (/ PI 2.0) (sqrt (+ b a))) 1 (/ (/ PI 2.0) (+ b a)) 1 (/ (/ PI 2.0) (+ b a)) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ 1 2.0) (cbrt (+ b a))) (/ PI (sqrt (+ b a))) (/ (/ 1 2.0) (sqrt (+ b a))) PI (/ (/ 1 2.0) (+ b a)) PI (/ (/ 1 2.0) (+ b a)) (/ 1 (+ b a)) (/ (+ b a) (/ PI 2.0)) (/ (/ PI 2.0) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (sqrt (+ b a))) (/ PI 2.0) (/ PI 2.0) (/ (+ b a) (cbrt (/ PI 2.0))) (/ (+ b a) (sqrt (/ PI 2.0))) (/ (+ b a) (/ (cbrt PI) (cbrt 2.0))) (/ (+ b a) (/ (cbrt PI) (sqrt 2.0))) (/ (+ b a) (/ (cbrt PI) 2.0)) (/ (+ b a) (/ (sqrt PI) (cbrt 2.0))) (/ (+ b a) (/ (sqrt PI) (sqrt 2.0))) (/ (+ b a) (/ (sqrt PI) 2.0)) (/ (+ b a) (/ PI (cbrt 2.0))) (/ (+ b a) (/ PI (sqrt 2.0))) (/ (+ b a) (/ PI 2.0)) (/ (+ b a) (/ PI 2.0)) (* (+ b a) 2.0) (/ (/ PI 2.0) (+ (pow b 3) (pow a 3))) (/ (/ PI 2.0) (- (* b b) (* a a))) (* (+ b a) 2.0) (expm1 (* (- b a) (* a b))) (log1p (* (- b a) (* a b))) (* (- b a) (* a b)) (* (- b a) (* a b)) (log (* (- b a) (* a b))) (log (* (- b a) (* a b))) (log (* (- b a) (* a b))) (exp (* (- b a) (* a b))) (pow (* (- b a) (* a b)) 3) (pow (* (- b a) (* a b)) 3) (* (cbrt (* (- b a) (* a b))) (cbrt (* (- b a) (* a b)))) (cbrt (* (- b a) (* a b))) (pow (* (- b a) (* a b)) 3) (sqrt (* (- b a) (* a b))) (sqrt (* (- b a) (* a b))) (* (- b a) a) (* (cbrt (- b a)) (* a b)) (* (sqrt (- b a)) (* a b)) (* (- b a) (* a b)) (* (- (sqrt b) (sqrt a)) (* a b)) (* (- b a) (* a b)) (* (- (pow b 3) (pow a 3)) (* a b)) (* (- (* b b) (* a a)) (* a b)) 0 0 0 (* -0.5 PI) (* 0.5 PI) (* 0.5 PI) 0 0 0 (- (* a (pow b 2)) (* (pow a 2) b)) (- (* a (pow b 2)) (* (pow a 2) b)) (- (* a (pow b 2)) (* (pow a 2) b)) 16.962 * * * [progress]: adding candidates to table 17.724 * * [progress]: iteration 4 / 4 17.724 * * * [progress]: picking best candidate 17.752 * * * * [pick]: Picked # 17.752 * * * [progress]: localizing error 17.788 * * * [progress]: generating rewritten candidates 17.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 17.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 17.877 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 17.979 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 18.059 * * * [progress]: generating series expansions 18.059 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 18.059 * [backup-simplify]: Simplify (/ (* (- b a) (* a b)) (* 1.0 (- b a))) into (* 1.0 (* a b)) 18.060 * [approximate]: Taking taylor expansion of (* 1.0 (* a b)) in (b a) around 0 18.060 * [taylor]: Taking taylor expansion of (* 1.0 (* a b)) in a 18.060 * [taylor]: Taking taylor expansion of 1.0 in a 18.060 * [backup-simplify]: Simplify 1.0 into 1.0 18.060 * [taylor]: Taking taylor expansion of (* a b) in a 18.060 * [taylor]: Taking taylor expansion of a in a 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify 1 into 1 18.060 * [taylor]: Taking taylor expansion of b in a 18.060 * [backup-simplify]: Simplify b into b 18.060 * [taylor]: Taking taylor expansion of (* 1.0 (* a b)) in b 18.060 * [taylor]: Taking taylor expansion of 1.0 in b 18.060 * [backup-simplify]: Simplify 1.0 into 1.0 18.060 * [taylor]: Taking taylor expansion of (* a b) in b 18.060 * [taylor]: Taking taylor expansion of a in b 18.060 * [backup-simplify]: Simplify a into a 18.060 * [taylor]: Taking taylor expansion of b in b 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify 1 into 1 18.060 * [taylor]: Taking taylor expansion of (* 1.0 (* a b)) in b 18.060 * [taylor]: Taking taylor expansion of 1.0 in b 18.060 * [backup-simplify]: Simplify 1.0 into 1.0 18.060 * [taylor]: Taking taylor expansion of (* a b) in b 18.060 * [taylor]: Taking taylor expansion of a in b 18.060 * [backup-simplify]: Simplify a into a 18.060 * [taylor]: Taking taylor expansion of b in b 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify 1 into 1 18.060 * [backup-simplify]: Simplify (* a 0) into 0 18.061 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.061 * [taylor]: Taking taylor expansion of 0 in a 18.061 * [backup-simplify]: Simplify 0 into 0 18.061 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.062 * [backup-simplify]: Simplify (+ (* 1.0 a) (* 0 0)) into (* 1.0 a) 18.062 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 18.062 * [taylor]: Taking taylor expansion of 1.0 in a 18.062 * [backup-simplify]: Simplify 1.0 into 1.0 18.062 * [taylor]: Taking taylor expansion of a in a 18.062 * [backup-simplify]: Simplify 0 into 0 18.062 * [backup-simplify]: Simplify 1 into 1 18.063 * [backup-simplify]: Simplify (* 1.0 0) into 0 18.063 * [backup-simplify]: Simplify 0 into 0 18.063 * [backup-simplify]: Simplify 0 into 0 18.064 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 18.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 a) (* 0 0))) into 0 18.064 * [taylor]: Taking taylor expansion of 0 in a 18.065 * [backup-simplify]: Simplify 0 into 0 18.065 * [backup-simplify]: Simplify 0 into 0 18.066 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 18.066 * [backup-simplify]: Simplify 1.0 into 1.0 18.066 * [backup-simplify]: Simplify 0 into 0 18.067 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.068 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 a) (* 0 0)))) into 0 18.068 * [taylor]: Taking taylor expansion of 0 in a 18.068 * [backup-simplify]: Simplify 0 into 0 18.068 * [backup-simplify]: Simplify 0 into 0 18.068 * [backup-simplify]: Simplify 0 into 0 18.069 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 18.069 * [backup-simplify]: Simplify 0 into 0 18.069 * [backup-simplify]: Simplify 0 into 0 18.070 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.071 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 18.071 * [taylor]: Taking taylor expansion of 0 in a 18.071 * [backup-simplify]: Simplify 0 into 0 18.071 * [backup-simplify]: Simplify 0 into 0 18.072 * [backup-simplify]: Simplify (* 1.0 (* a b)) into (* 1.0 (* a b)) 18.072 * [backup-simplify]: Simplify (/ (* (- (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 b))) (* 1.0 (- (/ 1 b) (/ 1 a)))) into (/ 1.0 (* a b)) 18.072 * [approximate]: Taking taylor expansion of (/ 1.0 (* a b)) in (b a) around 0 18.072 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in a 18.072 * [taylor]: Taking taylor expansion of 1.0 in a 18.072 * [backup-simplify]: Simplify 1.0 into 1.0 18.072 * [taylor]: Taking taylor expansion of (* a b) in a 18.072 * [taylor]: Taking taylor expansion of a in a 18.072 * [backup-simplify]: Simplify 0 into 0 18.072 * [backup-simplify]: Simplify 1 into 1 18.072 * [taylor]: Taking taylor expansion of b in a 18.072 * [backup-simplify]: Simplify b into b 18.072 * [backup-simplify]: Simplify (* 0 b) into 0 18.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 18.073 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 18.073 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in b 18.073 * [taylor]: Taking taylor expansion of 1.0 in b 18.073 * [backup-simplify]: Simplify 1.0 into 1.0 18.073 * [taylor]: Taking taylor expansion of (* a b) in b 18.073 * [taylor]: Taking taylor expansion of a in b 18.073 * [backup-simplify]: Simplify a into a 18.073 * [taylor]: Taking taylor expansion of b in b 18.073 * [backup-simplify]: Simplify 0 into 0 18.073 * [backup-simplify]: Simplify 1 into 1 18.073 * [backup-simplify]: Simplify (* a 0) into 0 18.074 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.074 * [backup-simplify]: Simplify (/ 1.0 a) into (/ 1.0 a) 18.074 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in b 18.074 * [taylor]: Taking taylor expansion of 1.0 in b 18.074 * [backup-simplify]: Simplify 1.0 into 1.0 18.074 * [taylor]: Taking taylor expansion of (* a b) in b 18.074 * [taylor]: Taking taylor expansion of a in b 18.074 * [backup-simplify]: Simplify a into a 18.074 * [taylor]: Taking taylor expansion of b in b 18.074 * [backup-simplify]: Simplify 0 into 0 18.074 * [backup-simplify]: Simplify 1 into 1 18.074 * [backup-simplify]: Simplify (* a 0) into 0 18.074 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.074 * [backup-simplify]: Simplify (/ 1.0 a) into (/ 1.0 a) 18.074 * [taylor]: Taking taylor expansion of (/ 1.0 a) in a 18.074 * [taylor]: Taking taylor expansion of 1.0 in a 18.074 * [backup-simplify]: Simplify 1.0 into 1.0 18.074 * [taylor]: Taking taylor expansion of a in a 18.075 * [backup-simplify]: Simplify 0 into 0 18.075 * [backup-simplify]: Simplify 1 into 1 18.075 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 18.075 * [backup-simplify]: Simplify 1.0 into 1.0 18.075 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 18.075 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)))) into 0 18.075 * [taylor]: Taking taylor expansion of 0 in a 18.075 * [backup-simplify]: Simplify 0 into 0 18.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 18.076 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.077 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.077 * [taylor]: Taking taylor expansion of 0 in a 18.077 * [backup-simplify]: Simplify 0 into 0 18.077 * [backup-simplify]: Simplify 0 into 0 18.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.078 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.079 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.079 * [taylor]: Taking taylor expansion of 0 in a 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify 0 into 0 18.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.079 * [backup-simplify]: Simplify 0 into 0 18.080 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (* 1.0 (* a b)) 18.080 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- b)))) (* 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (/ 1.0 (* a b)) 18.080 * [approximate]: Taking taylor expansion of (/ 1.0 (* a b)) in (b a) around 0 18.080 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in a 18.080 * [taylor]: Taking taylor expansion of 1.0 in a 18.080 * [backup-simplify]: Simplify 1.0 into 1.0 18.080 * [taylor]: Taking taylor expansion of (* a b) in a 18.080 * [taylor]: Taking taylor expansion of a in a 18.080 * [backup-simplify]: Simplify 0 into 0 18.080 * [backup-simplify]: Simplify 1 into 1 18.080 * [taylor]: Taking taylor expansion of b in a 18.080 * [backup-simplify]: Simplify b into b 18.080 * [backup-simplify]: Simplify (* 0 b) into 0 18.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 18.080 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 18.080 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in b 18.080 * [taylor]: Taking taylor expansion of 1.0 in b 18.080 * [backup-simplify]: Simplify 1.0 into 1.0 18.080 * [taylor]: Taking taylor expansion of (* a b) in b 18.081 * [taylor]: Taking taylor expansion of a in b 18.081 * [backup-simplify]: Simplify a into a 18.081 * [taylor]: Taking taylor expansion of b in b 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify 1 into 1 18.081 * [backup-simplify]: Simplify (* a 0) into 0 18.081 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.081 * [backup-simplify]: Simplify (/ 1.0 a) into (/ 1.0 a) 18.081 * [taylor]: Taking taylor expansion of (/ 1.0 (* a b)) in b 18.081 * [taylor]: Taking taylor expansion of 1.0 in b 18.081 * [backup-simplify]: Simplify 1.0 into 1.0 18.081 * [taylor]: Taking taylor expansion of (* a b) in b 18.081 * [taylor]: Taking taylor expansion of a in b 18.081 * [backup-simplify]: Simplify a into a 18.081 * [taylor]: Taking taylor expansion of b in b 18.081 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify 1 into 1 18.081 * [backup-simplify]: Simplify (* a 0) into 0 18.081 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.081 * [backup-simplify]: Simplify (/ 1.0 a) into (/ 1.0 a) 18.081 * [taylor]: Taking taylor expansion of (/ 1.0 a) in a 18.082 * [taylor]: Taking taylor expansion of 1.0 in a 18.082 * [backup-simplify]: Simplify 1.0 into 1.0 18.082 * [taylor]: Taking taylor expansion of a in a 18.082 * [backup-simplify]: Simplify 0 into 0 18.082 * [backup-simplify]: Simplify 1 into 1 18.082 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 18.082 * [backup-simplify]: Simplify 1.0 into 1.0 18.082 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 18.082 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)))) into 0 18.082 * [taylor]: Taking taylor expansion of 0 in a 18.082 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.084 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.084 * [taylor]: Taking taylor expansion of 0 in a 18.084 * [backup-simplify]: Simplify 0 into 0 18.084 * [backup-simplify]: Simplify 0 into 0 18.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.084 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.085 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1.0 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.085 * [taylor]: Taking taylor expansion of 0 in a 18.085 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 0 into 0 18.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.086 * [backup-simplify]: Simplify 0 into 0 18.086 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* 1.0 (* a b)) 18.086 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 18.086 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 18.086 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 18.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 18.086 * [taylor]: Taking taylor expansion of 0.5 in a 18.086 * [backup-simplify]: Simplify 0.5 into 0.5 18.086 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 18.086 * [taylor]: Taking taylor expansion of PI in a 18.086 * [backup-simplify]: Simplify PI into PI 18.086 * [taylor]: Taking taylor expansion of (+ a b) in a 18.086 * [taylor]: Taking taylor expansion of a in a 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.087 * [taylor]: Taking taylor expansion of b in a 18.087 * [backup-simplify]: Simplify b into b 18.087 * [backup-simplify]: Simplify (+ 0 b) into b 18.087 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 18.087 * [taylor]: Taking taylor expansion of 0.5 in b 18.087 * [backup-simplify]: Simplify 0.5 into 0.5 18.087 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 18.087 * [taylor]: Taking taylor expansion of PI in b 18.087 * [backup-simplify]: Simplify PI into PI 18.087 * [taylor]: Taking taylor expansion of (+ a b) in b 18.087 * [taylor]: Taking taylor expansion of a in b 18.087 * [backup-simplify]: Simplify a into a 18.087 * [taylor]: Taking taylor expansion of b in b 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.087 * [backup-simplify]: Simplify (+ a 0) into a 18.087 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 18.087 * [taylor]: Taking taylor expansion of 0.5 in b 18.087 * [backup-simplify]: Simplify 0.5 into 0.5 18.087 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 18.087 * [taylor]: Taking taylor expansion of PI in b 18.087 * [backup-simplify]: Simplify PI into PI 18.087 * [taylor]: Taking taylor expansion of (+ a b) in b 18.087 * [taylor]: Taking taylor expansion of a in b 18.087 * [backup-simplify]: Simplify a into a 18.087 * [taylor]: Taking taylor expansion of b in b 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.087 * [backup-simplify]: Simplify (+ a 0) into a 18.087 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.087 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 18.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.087 * [taylor]: Taking taylor expansion of 0.5 in a 18.087 * [backup-simplify]: Simplify 0.5 into 0.5 18.087 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.087 * [taylor]: Taking taylor expansion of PI in a 18.087 * [backup-simplify]: Simplify PI into PI 18.087 * [taylor]: Taking taylor expansion of a in a 18.087 * [backup-simplify]: Simplify 0 into 0 18.087 * [backup-simplify]: Simplify 1 into 1 18.088 * [backup-simplify]: Simplify (/ PI 1) into PI 18.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.089 * [backup-simplify]: Simplify 0 into 0 18.089 * [backup-simplify]: Simplify (+ 0 1) into 1 18.089 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 18.090 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 18.090 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 18.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.090 * [taylor]: Taking taylor expansion of 0.5 in a 18.090 * [backup-simplify]: Simplify 0.5 into 0.5 18.090 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.090 * [taylor]: Taking taylor expansion of PI in a 18.090 * [backup-simplify]: Simplify PI into PI 18.090 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.090 * [taylor]: Taking taylor expansion of a in a 18.090 * [backup-simplify]: Simplify 0 into 0 18.090 * [backup-simplify]: Simplify 1 into 1 18.090 * [backup-simplify]: Simplify (* 1 1) into 1 18.090 * [backup-simplify]: Simplify (/ PI 1) into PI 18.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.093 * [backup-simplify]: Simplify (- 0) into 0 18.093 * [backup-simplify]: Simplify 0 into 0 18.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.094 * [backup-simplify]: Simplify 0 into 0 18.094 * [backup-simplify]: Simplify (+ 0 0) into 0 18.095 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 18.095 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 18.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 18.095 * [taylor]: Taking taylor expansion of 0.5 in a 18.095 * [backup-simplify]: Simplify 0.5 into 0.5 18.095 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.095 * [taylor]: Taking taylor expansion of PI in a 18.095 * [backup-simplify]: Simplify PI into PI 18.095 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.095 * [taylor]: Taking taylor expansion of a in a 18.095 * [backup-simplify]: Simplify 0 into 0 18.095 * [backup-simplify]: Simplify 1 into 1 18.096 * [backup-simplify]: Simplify (* 1 1) into 1 18.096 * [backup-simplify]: Simplify (* 1 1) into 1 18.096 * [backup-simplify]: Simplify (/ PI 1) into PI 18.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.101 * [backup-simplify]: Simplify 0 into 0 18.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.104 * [backup-simplify]: Simplify (- 0) into 0 18.104 * [backup-simplify]: Simplify 0 into 0 18.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.105 * [backup-simplify]: Simplify 0 into 0 18.105 * [backup-simplify]: Simplify 0 into 0 18.105 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 18.105 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.105 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 18.105 * [taylor]: Taking taylor expansion of 0.5 in a 18.105 * [backup-simplify]: Simplify 0.5 into 0.5 18.106 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 18.106 * [taylor]: Taking taylor expansion of PI in a 18.106 * [backup-simplify]: Simplify PI into PI 18.106 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.106 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.106 * [taylor]: Taking taylor expansion of a in a 18.106 * [backup-simplify]: Simplify 0 into 0 18.106 * [backup-simplify]: Simplify 1 into 1 18.106 * [backup-simplify]: Simplify (/ 1 1) into 1 18.106 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.106 * [taylor]: Taking taylor expansion of b in a 18.106 * [backup-simplify]: Simplify b into b 18.106 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.106 * [backup-simplify]: Simplify (+ 1 0) into 1 18.107 * [backup-simplify]: Simplify (/ PI 1) into PI 18.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.107 * [taylor]: Taking taylor expansion of 0.5 in b 18.107 * [backup-simplify]: Simplify 0.5 into 0.5 18.107 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.107 * [taylor]: Taking taylor expansion of PI in b 18.107 * [backup-simplify]: Simplify PI into PI 18.107 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.107 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.107 * [taylor]: Taking taylor expansion of a in b 18.107 * [backup-simplify]: Simplify a into a 18.107 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.107 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.107 * [taylor]: Taking taylor expansion of b in b 18.107 * [backup-simplify]: Simplify 0 into 0 18.107 * [backup-simplify]: Simplify 1 into 1 18.107 * [backup-simplify]: Simplify (/ 1 1) into 1 18.107 * [backup-simplify]: Simplify (+ 0 1) into 1 18.108 * [backup-simplify]: Simplify (/ PI 1) into PI 18.108 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.108 * [taylor]: Taking taylor expansion of 0.5 in b 18.108 * [backup-simplify]: Simplify 0.5 into 0.5 18.108 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.108 * [taylor]: Taking taylor expansion of PI in b 18.108 * [backup-simplify]: Simplify PI into PI 18.108 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.108 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.108 * [taylor]: Taking taylor expansion of a in b 18.108 * [backup-simplify]: Simplify a into a 18.108 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.108 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.108 * [taylor]: Taking taylor expansion of b in b 18.108 * [backup-simplify]: Simplify 0 into 0 18.108 * [backup-simplify]: Simplify 1 into 1 18.108 * [backup-simplify]: Simplify (/ 1 1) into 1 18.108 * [backup-simplify]: Simplify (+ 0 1) into 1 18.109 * [backup-simplify]: Simplify (/ PI 1) into PI 18.109 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.109 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.109 * [taylor]: Taking taylor expansion of 0.5 in a 18.109 * [backup-simplify]: Simplify 0.5 into 0.5 18.109 * [taylor]: Taking taylor expansion of PI in a 18.109 * [backup-simplify]: Simplify PI into PI 18.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.110 * [backup-simplify]: Simplify 0 into 0 18.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.110 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 18.117 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 18.117 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 18.117 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.117 * [taylor]: Taking taylor expansion of 0.5 in a 18.117 * [backup-simplify]: Simplify 0.5 into 0.5 18.117 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.117 * [taylor]: Taking taylor expansion of PI in a 18.117 * [backup-simplify]: Simplify PI into PI 18.117 * [taylor]: Taking taylor expansion of a in a 18.117 * [backup-simplify]: Simplify 0 into 0 18.117 * [backup-simplify]: Simplify 1 into 1 18.118 * [backup-simplify]: Simplify (/ PI 1) into PI 18.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.119 * [backup-simplify]: Simplify (- 0) into 0 18.119 * [backup-simplify]: Simplify 0 into 0 18.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.120 * [backup-simplify]: Simplify 0 into 0 18.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.121 * [backup-simplify]: Simplify (+ 0 0) into 0 18.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 18.122 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 18.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.122 * [taylor]: Taking taylor expansion of 0.5 in a 18.122 * [backup-simplify]: Simplify 0.5 into 0.5 18.122 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.122 * [taylor]: Taking taylor expansion of PI in a 18.122 * [backup-simplify]: Simplify PI into PI 18.122 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.122 * [taylor]: Taking taylor expansion of a in a 18.122 * [backup-simplify]: Simplify 0 into 0 18.123 * [backup-simplify]: Simplify 1 into 1 18.123 * [backup-simplify]: Simplify (* 1 1) into 1 18.123 * [backup-simplify]: Simplify (/ PI 1) into PI 18.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.127 * [backup-simplify]: Simplify 0 into 0 18.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.129 * [backup-simplify]: Simplify (- 0) into 0 18.129 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.130 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 18.130 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.130 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 18.130 * [taylor]: Taking taylor expansion of -0.5 in a 18.130 * [backup-simplify]: Simplify -0.5 into -0.5 18.130 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 18.130 * [taylor]: Taking taylor expansion of PI in a 18.130 * [backup-simplify]: Simplify PI into PI 18.130 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.130 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.130 * [taylor]: Taking taylor expansion of a in a 18.130 * [backup-simplify]: Simplify 0 into 0 18.130 * [backup-simplify]: Simplify 1 into 1 18.131 * [backup-simplify]: Simplify (/ 1 1) into 1 18.131 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.131 * [taylor]: Taking taylor expansion of b in a 18.131 * [backup-simplify]: Simplify b into b 18.131 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.131 * [backup-simplify]: Simplify (+ 1 0) into 1 18.131 * [backup-simplify]: Simplify (/ PI 1) into PI 18.131 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.131 * [taylor]: Taking taylor expansion of -0.5 in b 18.131 * [backup-simplify]: Simplify -0.5 into -0.5 18.131 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.131 * [taylor]: Taking taylor expansion of PI in b 18.131 * [backup-simplify]: Simplify PI into PI 18.131 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.131 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.132 * [taylor]: Taking taylor expansion of a in b 18.132 * [backup-simplify]: Simplify a into a 18.132 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.132 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.132 * [taylor]: Taking taylor expansion of b in b 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [backup-simplify]: Simplify (/ 1 1) into 1 18.132 * [backup-simplify]: Simplify (+ 0 1) into 1 18.132 * [backup-simplify]: Simplify (/ PI 1) into PI 18.132 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.132 * [taylor]: Taking taylor expansion of -0.5 in b 18.132 * [backup-simplify]: Simplify -0.5 into -0.5 18.132 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.133 * [taylor]: Taking taylor expansion of PI in b 18.133 * [backup-simplify]: Simplify PI into PI 18.133 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.133 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.133 * [taylor]: Taking taylor expansion of a in b 18.133 * [backup-simplify]: Simplify a into a 18.133 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.133 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.133 * [taylor]: Taking taylor expansion of b in b 18.133 * [backup-simplify]: Simplify 0 into 0 18.133 * [backup-simplify]: Simplify 1 into 1 18.133 * [backup-simplify]: Simplify (/ 1 1) into 1 18.133 * [backup-simplify]: Simplify (+ 0 1) into 1 18.133 * [backup-simplify]: Simplify (/ PI 1) into PI 18.134 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 18.134 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 18.134 * [taylor]: Taking taylor expansion of -0.5 in a 18.134 * [backup-simplify]: Simplify -0.5 into -0.5 18.134 * [taylor]: Taking taylor expansion of PI in a 18.134 * [backup-simplify]: Simplify PI into PI 18.134 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 18.134 * [backup-simplify]: Simplify 0 into 0 18.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.135 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 18.136 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 18.136 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.136 * [taylor]: Taking taylor expansion of 0.5 in a 18.136 * [backup-simplify]: Simplify 0.5 into 0.5 18.136 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.136 * [taylor]: Taking taylor expansion of PI in a 18.136 * [backup-simplify]: Simplify PI into PI 18.136 * [taylor]: Taking taylor expansion of a in a 18.136 * [backup-simplify]: Simplify 0 into 0 18.136 * [backup-simplify]: Simplify 1 into 1 18.136 * [backup-simplify]: Simplify (/ PI 1) into PI 18.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.138 * [backup-simplify]: Simplify 0 into 0 18.139 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.139 * [backup-simplify]: Simplify 0 into 0 18.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.140 * [backup-simplify]: Simplify (+ 0 0) into 0 18.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 18.141 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 18.141 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 18.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.141 * [taylor]: Taking taylor expansion of 0.5 in a 18.141 * [backup-simplify]: Simplify 0.5 into 0.5 18.141 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.141 * [taylor]: Taking taylor expansion of PI in a 18.141 * [backup-simplify]: Simplify PI into PI 18.141 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.141 * [taylor]: Taking taylor expansion of a in a 18.141 * [backup-simplify]: Simplify 0 into 0 18.141 * [backup-simplify]: Simplify 1 into 1 18.142 * [backup-simplify]: Simplify (* 1 1) into 1 18.142 * [backup-simplify]: Simplify (/ PI 1) into PI 18.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.149 * [backup-simplify]: Simplify (- 0) into 0 18.149 * [backup-simplify]: Simplify 0 into 0 18.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.151 * [backup-simplify]: Simplify 0 into 0 18.152 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * [backup-simplify]: Simplify 0 into 0 18.153 * * * * [progress]: [ 3 / 4 ] generating series at (2) 18.154 * [backup-simplify]: Simplify (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) into (* 0.5 (/ PI (* a (* b (+ a b))))) 18.154 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in (b a) around 0 18.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in a 18.154 * [taylor]: Taking taylor expansion of 0.5 in a 18.154 * [backup-simplify]: Simplify 0.5 into 0.5 18.154 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in a 18.154 * [taylor]: Taking taylor expansion of PI in a 18.154 * [backup-simplify]: Simplify PI into PI 18.154 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in a 18.154 * [taylor]: Taking taylor expansion of a in a 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 18.154 * [taylor]: Taking taylor expansion of b in a 18.154 * [backup-simplify]: Simplify b into b 18.154 * [taylor]: Taking taylor expansion of (+ a b) in a 18.154 * [taylor]: Taking taylor expansion of a in a 18.154 * [backup-simplify]: Simplify 0 into 0 18.154 * [backup-simplify]: Simplify 1 into 1 18.154 * [taylor]: Taking taylor expansion of b in a 18.155 * [backup-simplify]: Simplify b into b 18.155 * [backup-simplify]: Simplify (+ 0 b) into b 18.155 * [backup-simplify]: Simplify (* b b) into (pow b 2) 18.155 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 18.155 * [backup-simplify]: Simplify (+ 1 0) into 1 18.155 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 18.156 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 18.156 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 18.156 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in b 18.156 * [taylor]: Taking taylor expansion of 0.5 in b 18.156 * [backup-simplify]: Simplify 0.5 into 0.5 18.156 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in b 18.156 * [taylor]: Taking taylor expansion of PI in b 18.156 * [backup-simplify]: Simplify PI into PI 18.156 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 18.156 * [taylor]: Taking taylor expansion of a in b 18.156 * [backup-simplify]: Simplify a into a 18.156 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 18.156 * [taylor]: Taking taylor expansion of b in b 18.156 * [backup-simplify]: Simplify 0 into 0 18.156 * [backup-simplify]: Simplify 1 into 1 18.156 * [taylor]: Taking taylor expansion of (+ a b) in b 18.156 * [taylor]: Taking taylor expansion of a in b 18.156 * [backup-simplify]: Simplify a into a 18.156 * [taylor]: Taking taylor expansion of b in b 18.156 * [backup-simplify]: Simplify 0 into 0 18.156 * [backup-simplify]: Simplify 1 into 1 18.156 * [backup-simplify]: Simplify (+ a 0) into a 18.156 * [backup-simplify]: Simplify (* 0 a) into 0 18.156 * [backup-simplify]: Simplify (* a 0) into 0 18.157 * [backup-simplify]: Simplify (+ 0 1) into 1 18.157 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 18.158 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 18.158 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 18.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in b 18.158 * [taylor]: Taking taylor expansion of 0.5 in b 18.158 * [backup-simplify]: Simplify 0.5 into 0.5 18.158 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in b 18.158 * [taylor]: Taking taylor expansion of PI in b 18.158 * [backup-simplify]: Simplify PI into PI 18.158 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 18.158 * [taylor]: Taking taylor expansion of a in b 18.158 * [backup-simplify]: Simplify a into a 18.158 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 18.158 * [taylor]: Taking taylor expansion of b in b 18.158 * [backup-simplify]: Simplify 0 into 0 18.158 * [backup-simplify]: Simplify 1 into 1 18.158 * [taylor]: Taking taylor expansion of (+ a b) in b 18.158 * [taylor]: Taking taylor expansion of a in b 18.158 * [backup-simplify]: Simplify a into a 18.159 * [taylor]: Taking taylor expansion of b in b 18.159 * [backup-simplify]: Simplify 0 into 0 18.159 * [backup-simplify]: Simplify 1 into 1 18.159 * [backup-simplify]: Simplify (+ a 0) into a 18.159 * [backup-simplify]: Simplify (* 0 a) into 0 18.159 * [backup-simplify]: Simplify (* a 0) into 0 18.159 * [backup-simplify]: Simplify (+ 0 1) into 1 18.160 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 18.160 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 18.160 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 18.160 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow a 2))) into (* 0.5 (/ PI (pow a 2))) 18.161 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.161 * [taylor]: Taking taylor expansion of 0.5 in a 18.161 * [backup-simplify]: Simplify 0.5 into 0.5 18.161 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.161 * [taylor]: Taking taylor expansion of PI in a 18.161 * [backup-simplify]: Simplify PI into PI 18.161 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.161 * [taylor]: Taking taylor expansion of a in a 18.161 * [backup-simplify]: Simplify 0 into 0 18.161 * [backup-simplify]: Simplify 1 into 1 18.161 * [backup-simplify]: Simplify (* 1 1) into 1 18.162 * [backup-simplify]: Simplify (/ PI 1) into PI 18.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.164 * [backup-simplify]: Simplify 0 into 0 18.164 * [backup-simplify]: Simplify (+ 0 0) into 0 18.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 a))) into 1 18.165 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 18.166 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 18.166 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 0.5 (/ PI (pow a 3)))) 18.166 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 18.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 18.167 * [taylor]: Taking taylor expansion of 0.5 in a 18.167 * [backup-simplify]: Simplify 0.5 into 0.5 18.167 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.167 * [taylor]: Taking taylor expansion of PI in a 18.167 * [backup-simplify]: Simplify PI into PI 18.167 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.167 * [taylor]: Taking taylor expansion of a in a 18.167 * [backup-simplify]: Simplify 0 into 0 18.167 * [backup-simplify]: Simplify 1 into 1 18.167 * [backup-simplify]: Simplify (* 1 1) into 1 18.168 * [backup-simplify]: Simplify (* 1 1) into 1 18.168 * [backup-simplify]: Simplify (/ PI 1) into PI 18.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.173 * [backup-simplify]: Simplify (- 0) into 0 18.173 * [backup-simplify]: Simplify 0 into 0 18.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.174 * [backup-simplify]: Simplify 0 into 0 18.174 * [backup-simplify]: Simplify (+ 0 0) into 0 18.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 a)))) into 0 18.176 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 18.176 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 18.177 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 0.5 (/ PI (pow a 4))) 18.177 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 18.177 * [taylor]: Taking taylor expansion of 0.5 in a 18.177 * [backup-simplify]: Simplify 0.5 into 0.5 18.177 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 18.177 * [taylor]: Taking taylor expansion of PI in a 18.177 * [backup-simplify]: Simplify PI into PI 18.177 * [taylor]: Taking taylor expansion of (pow a 4) in a 18.177 * [taylor]: Taking taylor expansion of a in a 18.177 * [backup-simplify]: Simplify 0 into 0 18.177 * [backup-simplify]: Simplify 1 into 1 18.177 * [backup-simplify]: Simplify (* 1 1) into 1 18.177 * [backup-simplify]: Simplify (* 1 1) into 1 18.178 * [backup-simplify]: Simplify (/ PI 1) into PI 18.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.183 * [backup-simplify]: Simplify 0 into 0 18.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.186 * [backup-simplify]: Simplify (- 0) into 0 18.186 * [backup-simplify]: Simplify 0 into 0 18.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.188 * [backup-simplify]: Simplify 0 into 0 18.188 * [backup-simplify]: Simplify 0 into 0 18.188 * [backup-simplify]: Simplify (/ (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (/ (* (- (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 b))) (* 1.0 (- (/ 1 b) (/ 1 a))))) into (* 0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) 18.188 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 18.188 * [taylor]: Taking taylor expansion of 0.5 in a 18.188 * [backup-simplify]: Simplify 0.5 into 0.5 18.188 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 18.188 * [taylor]: Taking taylor expansion of (* b (* a PI)) in a 18.188 * [taylor]: Taking taylor expansion of b in a 18.188 * [backup-simplify]: Simplify b into b 18.188 * [taylor]: Taking taylor expansion of (* a PI) in a 18.189 * [taylor]: Taking taylor expansion of a in a 18.189 * [backup-simplify]: Simplify 0 into 0 18.189 * [backup-simplify]: Simplify 1 into 1 18.189 * [taylor]: Taking taylor expansion of PI in a 18.189 * [backup-simplify]: Simplify PI into PI 18.189 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.189 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.189 * [taylor]: Taking taylor expansion of a in a 18.189 * [backup-simplify]: Simplify 0 into 0 18.189 * [backup-simplify]: Simplify 1 into 1 18.189 * [backup-simplify]: Simplify (/ 1 1) into 1 18.189 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.189 * [taylor]: Taking taylor expansion of b in a 18.189 * [backup-simplify]: Simplify b into b 18.189 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.189 * [backup-simplify]: Simplify (* 0 PI) into 0 18.189 * [backup-simplify]: Simplify (* b 0) into 0 18.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.191 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 18.191 * [backup-simplify]: Simplify (+ 1 0) into 1 18.191 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 18.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.191 * [taylor]: Taking taylor expansion of 0.5 in b 18.191 * [backup-simplify]: Simplify 0.5 into 0.5 18.191 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 18.191 * [taylor]: Taking taylor expansion of (* b (* a PI)) in b 18.191 * [taylor]: Taking taylor expansion of b in b 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify 1 into 1 18.191 * [taylor]: Taking taylor expansion of (* a PI) in b 18.191 * [taylor]: Taking taylor expansion of a in b 18.191 * [backup-simplify]: Simplify a into a 18.191 * [taylor]: Taking taylor expansion of PI in b 18.191 * [backup-simplify]: Simplify PI into PI 18.191 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.191 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.191 * [taylor]: Taking taylor expansion of a in b 18.191 * [backup-simplify]: Simplify a into a 18.191 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.191 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.191 * [taylor]: Taking taylor expansion of b in b 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify 1 into 1 18.192 * [backup-simplify]: Simplify (/ 1 1) into 1 18.192 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.192 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 18.192 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 18.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 18.193 * [backup-simplify]: Simplify (+ 0 1) into 1 18.193 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.193 * [taylor]: Taking taylor expansion of 0.5 in b 18.193 * [backup-simplify]: Simplify 0.5 into 0.5 18.193 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 18.193 * [taylor]: Taking taylor expansion of (* b (* a PI)) in b 18.193 * [taylor]: Taking taylor expansion of b in b 18.193 * [backup-simplify]: Simplify 0 into 0 18.193 * [backup-simplify]: Simplify 1 into 1 18.193 * [taylor]: Taking taylor expansion of (* a PI) in b 18.193 * [taylor]: Taking taylor expansion of a in b 18.193 * [backup-simplify]: Simplify a into a 18.193 * [taylor]: Taking taylor expansion of PI in b 18.193 * [backup-simplify]: Simplify PI into PI 18.193 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.193 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.193 * [taylor]: Taking taylor expansion of a in b 18.193 * [backup-simplify]: Simplify a into a 18.193 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.193 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.193 * [taylor]: Taking taylor expansion of b in b 18.193 * [backup-simplify]: Simplify 0 into 0 18.193 * [backup-simplify]: Simplify 1 into 1 18.193 * [backup-simplify]: Simplify (/ 1 1) into 1 18.194 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.194 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 18.194 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 18.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 18.194 * [backup-simplify]: Simplify (+ 0 1) into 1 18.194 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.195 * [backup-simplify]: Simplify (* 0.5 (* a PI)) into (* 0.5 (* a PI)) 18.195 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 18.195 * [taylor]: Taking taylor expansion of 0.5 in a 18.195 * [backup-simplify]: Simplify 0.5 into 0.5 18.195 * [taylor]: Taking taylor expansion of (* a PI) in a 18.195 * [taylor]: Taking taylor expansion of a in a 18.195 * [backup-simplify]: Simplify 0 into 0 18.195 * [backup-simplify]: Simplify 1 into 1 18.195 * [taylor]: Taking taylor expansion of PI in a 18.195 * [backup-simplify]: Simplify PI into PI 18.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.197 * [backup-simplify]: Simplify (* 0 PI) into 0 18.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 18.197 * [backup-simplify]: Simplify 0 into 0 18.198 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 18.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* a PI)))) into 0 18.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.199 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 18.200 * [backup-simplify]: Simplify (+ (* 0.5 (- PI)) (* 0 (* a PI))) into (- (* 0.5 PI)) 18.200 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 18.200 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.200 * [taylor]: Taking taylor expansion of 0.5 in a 18.200 * [backup-simplify]: Simplify 0.5 into 0.5 18.200 * [taylor]: Taking taylor expansion of PI in a 18.200 * [backup-simplify]: Simplify PI into PI 18.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.201 * [backup-simplify]: Simplify (- 0) into 0 18.201 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.202 * [backup-simplify]: Simplify 0 into 0 18.203 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 18.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.204 * [backup-simplify]: Simplify (+ 0 0) into 0 18.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 18.206 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 0.5 (/ PI a)) 18.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.206 * [taylor]: Taking taylor expansion of 0.5 in a 18.206 * [backup-simplify]: Simplify 0.5 into 0.5 18.206 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.206 * [taylor]: Taking taylor expansion of PI in a 18.206 * [backup-simplify]: Simplify PI into PI 18.206 * [taylor]: Taking taylor expansion of a in a 18.206 * [backup-simplify]: Simplify 0 into 0 18.206 * [backup-simplify]: Simplify 1 into 1 18.206 * [backup-simplify]: Simplify (/ PI 1) into PI 18.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.209 * [backup-simplify]: Simplify 0 into 0 18.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.209 * [backup-simplify]: Simplify (- 0) into 0 18.210 * [backup-simplify]: Simplify 0 into 0 18.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.212 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify 0 into 0 18.213 * [backup-simplify]: Simplify (/ (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (/ (* (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- b)))) (* 1.0 (- (/ 1 (- b)) (/ 1 (- a)))))) into (* -0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) 18.213 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.213 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 18.213 * [taylor]: Taking taylor expansion of -0.5 in a 18.213 * [backup-simplify]: Simplify -0.5 into -0.5 18.213 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 18.213 * [taylor]: Taking taylor expansion of (* b (* a PI)) in a 18.213 * [taylor]: Taking taylor expansion of b in a 18.213 * [backup-simplify]: Simplify b into b 18.213 * [taylor]: Taking taylor expansion of (* a PI) in a 18.213 * [taylor]: Taking taylor expansion of a in a 18.214 * [backup-simplify]: Simplify 0 into 0 18.214 * [backup-simplify]: Simplify 1 into 1 18.214 * [taylor]: Taking taylor expansion of PI in a 18.214 * [backup-simplify]: Simplify PI into PI 18.214 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.214 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.214 * [taylor]: Taking taylor expansion of a in a 18.214 * [backup-simplify]: Simplify 0 into 0 18.214 * [backup-simplify]: Simplify 1 into 1 18.214 * [backup-simplify]: Simplify (/ 1 1) into 1 18.214 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.214 * [taylor]: Taking taylor expansion of b in a 18.214 * [backup-simplify]: Simplify b into b 18.214 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.215 * [backup-simplify]: Simplify (* 0 PI) into 0 18.215 * [backup-simplify]: Simplify (* b 0) into 0 18.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.217 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 18.217 * [backup-simplify]: Simplify (+ 1 0) into 1 18.218 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 18.218 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.218 * [taylor]: Taking taylor expansion of -0.5 in b 18.218 * [backup-simplify]: Simplify -0.5 into -0.5 18.218 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 18.218 * [taylor]: Taking taylor expansion of (* b (* a PI)) in b 18.218 * [taylor]: Taking taylor expansion of b in b 18.218 * [backup-simplify]: Simplify 0 into 0 18.218 * [backup-simplify]: Simplify 1 into 1 18.218 * [taylor]: Taking taylor expansion of (* a PI) in b 18.218 * [taylor]: Taking taylor expansion of a in b 18.218 * [backup-simplify]: Simplify a into a 18.218 * [taylor]: Taking taylor expansion of PI in b 18.218 * [backup-simplify]: Simplify PI into PI 18.218 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.218 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.218 * [taylor]: Taking taylor expansion of a in b 18.218 * [backup-simplify]: Simplify a into a 18.218 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.218 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.218 * [taylor]: Taking taylor expansion of b in b 18.218 * [backup-simplify]: Simplify 0 into 0 18.218 * [backup-simplify]: Simplify 1 into 1 18.219 * [backup-simplify]: Simplify (/ 1 1) into 1 18.219 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.219 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 18.219 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 18.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 18.220 * [backup-simplify]: Simplify (+ 0 1) into 1 18.220 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.220 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.220 * [taylor]: Taking taylor expansion of -0.5 in b 18.220 * [backup-simplify]: Simplify -0.5 into -0.5 18.220 * [taylor]: Taking taylor expansion of (/ (* b (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 18.220 * [taylor]: Taking taylor expansion of (* b (* a PI)) in b 18.220 * [taylor]: Taking taylor expansion of b in b 18.221 * [backup-simplify]: Simplify 0 into 0 18.221 * [backup-simplify]: Simplify 1 into 1 18.221 * [taylor]: Taking taylor expansion of (* a PI) in b 18.221 * [taylor]: Taking taylor expansion of a in b 18.221 * [backup-simplify]: Simplify a into a 18.221 * [taylor]: Taking taylor expansion of PI in b 18.221 * [backup-simplify]: Simplify PI into PI 18.221 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.221 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.221 * [taylor]: Taking taylor expansion of a in b 18.221 * [backup-simplify]: Simplify a into a 18.221 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.221 * [taylor]: Taking taylor expansion of b in b 18.221 * [backup-simplify]: Simplify 0 into 0 18.221 * [backup-simplify]: Simplify 1 into 1 18.221 * [backup-simplify]: Simplify (/ 1 1) into 1 18.221 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.221 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 18.222 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 18.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 18.223 * [backup-simplify]: Simplify (+ 0 1) into 1 18.223 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.223 * [backup-simplify]: Simplify (* -0.5 (* a PI)) into (* -0.5 (* a PI)) 18.223 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 18.223 * [taylor]: Taking taylor expansion of -0.5 in a 18.223 * [backup-simplify]: Simplify -0.5 into -0.5 18.223 * [taylor]: Taking taylor expansion of (* a PI) in a 18.223 * [taylor]: Taking taylor expansion of a in a 18.224 * [backup-simplify]: Simplify 0 into 0 18.224 * [backup-simplify]: Simplify 1 into 1 18.224 * [taylor]: Taking taylor expansion of PI in a 18.224 * [backup-simplify]: Simplify PI into PI 18.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.235 * [backup-simplify]: Simplify (* 0 PI) into 0 18.236 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 18.236 * [backup-simplify]: Simplify 0 into 0 18.237 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 18.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* a PI)))) into 0 18.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.239 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 18.240 * [backup-simplify]: Simplify (+ (* -0.5 (- PI)) (* 0 (* a PI))) into (* 0.5 PI) 18.240 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.240 * [taylor]: Taking taylor expansion of 0.5 in a 18.241 * [backup-simplify]: Simplify 0.5 into 0.5 18.241 * [taylor]: Taking taylor expansion of PI in a 18.241 * [backup-simplify]: Simplify PI into PI 18.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.242 * [backup-simplify]: Simplify 0 into 0 18.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.244 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.244 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 18.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.247 * [backup-simplify]: Simplify (+ 0 0) into 0 18.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 18.249 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 0.5 (/ PI a))) 18.249 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 18.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.250 * [taylor]: Taking taylor expansion of 0.5 in a 18.250 * [backup-simplify]: Simplify 0.5 into 0.5 18.250 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.250 * [taylor]: Taking taylor expansion of PI in a 18.250 * [backup-simplify]: Simplify PI into PI 18.250 * [taylor]: Taking taylor expansion of a in a 18.250 * [backup-simplify]: Simplify 0 into 0 18.250 * [backup-simplify]: Simplify 1 into 1 18.250 * [backup-simplify]: Simplify (/ PI 1) into PI 18.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.254 * [backup-simplify]: Simplify (- 0) into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.257 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 18.257 * [backup-simplify]: Simplify (* (- b a) (* a b)) into (* (- b a) (* b a)) 18.257 * [approximate]: Taking taylor expansion of (* (- b a) (* b a)) in (b a) around 0 18.257 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in a 18.257 * [taylor]: Taking taylor expansion of (- b a) in a 18.257 * [taylor]: Taking taylor expansion of b in a 18.257 * [backup-simplify]: Simplify b into b 18.257 * [taylor]: Taking taylor expansion of a in a 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of (* b a) in a 18.257 * [taylor]: Taking taylor expansion of b in a 18.257 * [backup-simplify]: Simplify b into b 18.257 * [taylor]: Taking taylor expansion of a in a 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in b 18.257 * [taylor]: Taking taylor expansion of (- b a) in b 18.257 * [taylor]: Taking taylor expansion of b in b 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of a in b 18.257 * [backup-simplify]: Simplify a into a 18.257 * [taylor]: Taking taylor expansion of (* b a) in b 18.257 * [taylor]: Taking taylor expansion of b in b 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of a in b 18.257 * [backup-simplify]: Simplify a into a 18.257 * [taylor]: Taking taylor expansion of (* (- b a) (* b a)) in b 18.257 * [taylor]: Taking taylor expansion of (- b a) in b 18.257 * [taylor]: Taking taylor expansion of b in b 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of a in b 18.257 * [backup-simplify]: Simplify a into a 18.257 * [taylor]: Taking taylor expansion of (* b a) in b 18.257 * [taylor]: Taking taylor expansion of b in b 18.258 * [backup-simplify]: Simplify 0 into 0 18.258 * [backup-simplify]: Simplify 1 into 1 18.258 * [taylor]: Taking taylor expansion of a in b 18.258 * [backup-simplify]: Simplify a into a 18.258 * [backup-simplify]: Simplify (- a) into (- a) 18.258 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 18.258 * [backup-simplify]: Simplify (* 0 a) into 0 18.258 * [backup-simplify]: Simplify (* (- a) 0) into 0 18.258 * [taylor]: Taking taylor expansion of 0 in a 18.258 * [backup-simplify]: Simplify 0 into 0 18.258 * [backup-simplify]: Simplify 0 into 0 18.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 18.258 * [backup-simplify]: Simplify (- 0) into 0 18.259 * [backup-simplify]: Simplify (+ 1 0) into 1 18.259 * [backup-simplify]: Simplify (+ (* (- a) a) (* 1 0)) into (- (pow a 2)) 18.259 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 18.259 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.259 * [taylor]: Taking taylor expansion of a in a 18.259 * [backup-simplify]: Simplify 0 into 0 18.259 * [backup-simplify]: Simplify 1 into 1 18.259 * [backup-simplify]: Simplify 0 into 0 18.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 18.260 * [backup-simplify]: Simplify (- 0) into 0 18.260 * [backup-simplify]: Simplify (+ 0 0) into 0 18.260 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 a) (* 0 0))) into a 18.260 * [taylor]: Taking taylor expansion of a in a 18.260 * [backup-simplify]: Simplify 0 into 0 18.260 * [backup-simplify]: Simplify 1 into 1 18.260 * [backup-simplify]: Simplify 0 into 0 18.260 * [backup-simplify]: Simplify 0 into 0 18.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 18.261 * [backup-simplify]: Simplify (- 0) into 0 18.262 * [backup-simplify]: Simplify (+ 0 0) into 0 18.262 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 a) (* 0 0)))) into 0 18.262 * [taylor]: Taking taylor expansion of 0 in a 18.262 * [backup-simplify]: Simplify 0 into 0 18.262 * [backup-simplify]: Simplify 0 into 0 18.262 * [backup-simplify]: Simplify 1 into 1 18.262 * [backup-simplify]: Simplify (* 1 1) into 1 18.263 * [backup-simplify]: Simplify (- 1) into -1 18.263 * [backup-simplify]: Simplify -1 into -1 18.263 * [backup-simplify]: Simplify 0 into 0 18.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 18.264 * [backup-simplify]: Simplify (- 0) into 0 18.264 * [backup-simplify]: Simplify (+ 0 0) into 0 18.265 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 18.265 * [taylor]: Taking taylor expansion of 0 in a 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.266 * [backup-simplify]: Simplify (- 0) into 0 18.266 * [backup-simplify]: Simplify 0 into 0 18.266 * [backup-simplify]: Simplify 0 into 0 18.266 * [backup-simplify]: Simplify (+ (* -1 (* (pow a 2) b)) (* 1 (* a (pow b 2)))) into (- (* a (pow b 2)) (* (pow a 2) b)) 18.266 * [backup-simplify]: Simplify (* (- (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 b))) into (/ (- (/ 1 b) (/ 1 a)) (* a b)) 18.266 * [approximate]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in (b a) around 0 18.266 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in a 18.266 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 18.266 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.266 * [taylor]: Taking taylor expansion of b in a 18.266 * [backup-simplify]: Simplify b into b 18.266 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.266 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.266 * [taylor]: Taking taylor expansion of a in a 18.266 * [backup-simplify]: Simplify 0 into 0 18.266 * [backup-simplify]: Simplify 1 into 1 18.267 * [backup-simplify]: Simplify (/ 1 1) into 1 18.267 * [taylor]: Taking taylor expansion of (* a b) in a 18.267 * [taylor]: Taking taylor expansion of a in a 18.267 * [backup-simplify]: Simplify 0 into 0 18.267 * [backup-simplify]: Simplify 1 into 1 18.267 * [taylor]: Taking taylor expansion of b in a 18.267 * [backup-simplify]: Simplify b into b 18.267 * [backup-simplify]: Simplify (- 1) into -1 18.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.267 * [backup-simplify]: Simplify (* 0 b) into 0 18.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 18.268 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 18.268 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in b 18.268 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 18.268 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.268 * [taylor]: Taking taylor expansion of b in b 18.268 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify 1 into 1 18.268 * [backup-simplify]: Simplify (/ 1 1) into 1 18.268 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.268 * [taylor]: Taking taylor expansion of a in b 18.268 * [backup-simplify]: Simplify a into a 18.268 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.268 * [taylor]: Taking taylor expansion of (* a b) in b 18.268 * [taylor]: Taking taylor expansion of a in b 18.268 * [backup-simplify]: Simplify a into a 18.268 * [taylor]: Taking taylor expansion of b in b 18.268 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify 1 into 1 18.268 * [backup-simplify]: Simplify (+ 1 0) into 1 18.268 * [backup-simplify]: Simplify (* a 0) into 0 18.269 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.269 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.269 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* a b)) in b 18.269 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 18.269 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.269 * [taylor]: Taking taylor expansion of b in b 18.269 * [backup-simplify]: Simplify 0 into 0 18.269 * [backup-simplify]: Simplify 1 into 1 18.269 * [backup-simplify]: Simplify (/ 1 1) into 1 18.269 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.269 * [taylor]: Taking taylor expansion of a in b 18.269 * [backup-simplify]: Simplify a into a 18.269 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.269 * [taylor]: Taking taylor expansion of (* a b) in b 18.269 * [taylor]: Taking taylor expansion of a in b 18.269 * [backup-simplify]: Simplify a into a 18.269 * [taylor]: Taking taylor expansion of b in b 18.269 * [backup-simplify]: Simplify 0 into 0 18.269 * [backup-simplify]: Simplify 1 into 1 18.270 * [backup-simplify]: Simplify (+ 1 0) into 1 18.270 * [backup-simplify]: Simplify (* a 0) into 0 18.270 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.270 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.270 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.270 * [taylor]: Taking taylor expansion of a in a 18.270 * [backup-simplify]: Simplify 0 into 0 18.270 * [backup-simplify]: Simplify 1 into 1 18.270 * [backup-simplify]: Simplify (/ 1 1) into 1 18.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.271 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 18.271 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 18.271 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 18.271 * [backup-simplify]: Simplify (- (/ (- (/ 1 a)) a) (+ (* (/ 1 a) (/ 0 a)))) into (- (/ 1 (pow a 2))) 18.271 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 18.271 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 18.271 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.271 * [taylor]: Taking taylor expansion of a in a 18.271 * [backup-simplify]: Simplify 0 into 0 18.271 * [backup-simplify]: Simplify 1 into 1 18.272 * [backup-simplify]: Simplify (* 1 1) into 1 18.272 * [backup-simplify]: Simplify (/ 1 1) into 1 18.272 * [backup-simplify]: Simplify (- 1) into -1 18.272 * [backup-simplify]: Simplify -1 into -1 18.272 * [backup-simplify]: Simplify 1 into 1 18.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.273 * [backup-simplify]: Simplify (- 0) into 0 18.273 * [backup-simplify]: Simplify (+ 0 0) into 0 18.274 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.274 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)))) into 0 18.274 * [taylor]: Taking taylor expansion of 0 in a 18.274 * [backup-simplify]: Simplify 0 into 0 18.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.275 * [backup-simplify]: Simplify (- 0) into 0 18.275 * [backup-simplify]: Simplify 0 into 0 18.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.276 * [backup-simplify]: Simplify 0 into 0 18.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.277 * [backup-simplify]: Simplify (- 0) into 0 18.277 * [backup-simplify]: Simplify (+ 0 0) into 0 18.278 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.278 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.278 * [taylor]: Taking taylor expansion of 0 in a 18.278 * [backup-simplify]: Simplify 0 into 0 18.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.279 * [backup-simplify]: Simplify (- 0) into 0 18.279 * [backup-simplify]: Simplify 0 into 0 18.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.280 * [backup-simplify]: Simplify 0 into 0 18.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.281 * [backup-simplify]: Simplify (- 0) into 0 18.281 * [backup-simplify]: Simplify (+ 0 0) into 0 18.282 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.282 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.282 * [taylor]: Taking taylor expansion of 0 in a 18.282 * [backup-simplify]: Simplify 0 into 0 18.282 * [backup-simplify]: Simplify 0 into 0 18.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.284 * [backup-simplify]: Simplify (- 0) into 0 18.284 * [backup-simplify]: Simplify 0 into 0 18.285 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 a)) (pow (/ 1 b) -2))) (* -1 (* (pow (/ 1 a) -2) (/ 1 (/ 1 b))))) into (- (* a (pow b 2)) (* (pow a 2) b)) 18.285 * [backup-simplify]: Simplify (* (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- a)) (/ 1 (- b)))) into (/ (- (/ 1 a) (/ 1 b)) (* a b)) 18.285 * [approximate]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in (b a) around 0 18.285 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in a 18.285 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 18.285 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.285 * [taylor]: Taking taylor expansion of a in a 18.285 * [backup-simplify]: Simplify 0 into 0 18.285 * [backup-simplify]: Simplify 1 into 1 18.285 * [backup-simplify]: Simplify (/ 1 1) into 1 18.286 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.286 * [taylor]: Taking taylor expansion of b in a 18.286 * [backup-simplify]: Simplify b into b 18.286 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.286 * [taylor]: Taking taylor expansion of (* a b) in a 18.286 * [taylor]: Taking taylor expansion of a in a 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [backup-simplify]: Simplify 1 into 1 18.286 * [taylor]: Taking taylor expansion of b in a 18.286 * [backup-simplify]: Simplify b into b 18.286 * [backup-simplify]: Simplify (+ 1 0) into 1 18.286 * [backup-simplify]: Simplify (* 0 b) into 0 18.287 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 18.287 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.287 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in b 18.287 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.287 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.287 * [taylor]: Taking taylor expansion of a in b 18.287 * [backup-simplify]: Simplify a into a 18.287 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.287 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.287 * [taylor]: Taking taylor expansion of b in b 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [backup-simplify]: Simplify 1 into 1 18.287 * [backup-simplify]: Simplify (/ 1 1) into 1 18.287 * [taylor]: Taking taylor expansion of (* a b) in b 18.287 * [taylor]: Taking taylor expansion of a in b 18.287 * [backup-simplify]: Simplify a into a 18.287 * [taylor]: Taking taylor expansion of b in b 18.288 * [backup-simplify]: Simplify 0 into 0 18.288 * [backup-simplify]: Simplify 1 into 1 18.288 * [backup-simplify]: Simplify (- 1) into -1 18.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.288 * [backup-simplify]: Simplify (* a 0) into 0 18.289 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.289 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 18.289 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* a b)) in b 18.289 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.289 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.289 * [taylor]: Taking taylor expansion of a in b 18.289 * [backup-simplify]: Simplify a into a 18.289 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.289 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.289 * [taylor]: Taking taylor expansion of b in b 18.289 * [backup-simplify]: Simplify 0 into 0 18.289 * [backup-simplify]: Simplify 1 into 1 18.289 * [backup-simplify]: Simplify (/ 1 1) into 1 18.290 * [taylor]: Taking taylor expansion of (* a b) in b 18.290 * [taylor]: Taking taylor expansion of a in b 18.290 * [backup-simplify]: Simplify a into a 18.290 * [taylor]: Taking taylor expansion of b in b 18.290 * [backup-simplify]: Simplify 0 into 0 18.290 * [backup-simplify]: Simplify 1 into 1 18.290 * [backup-simplify]: Simplify (- 1) into -1 18.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.291 * [backup-simplify]: Simplify (* a 0) into 0 18.291 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 18.291 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 18.291 * [taylor]: Taking taylor expansion of (/ -1 a) in a 18.291 * [taylor]: Taking taylor expansion of -1 in a 18.291 * [backup-simplify]: Simplify -1 into -1 18.291 * [taylor]: Taking taylor expansion of a in a 18.291 * [backup-simplify]: Simplify 0 into 0 18.291 * [backup-simplify]: Simplify 1 into 1 18.292 * [backup-simplify]: Simplify (/ -1 1) into -1 18.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.292 * [backup-simplify]: Simplify (- 0) into 0 18.293 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.293 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 18.293 * [backup-simplify]: Simplify (- (/ (/ 1 a) a) (+ (* (/ -1 a) (/ 0 a)))) into (/ 1 (pow a 2)) 18.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 18.293 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.293 * [taylor]: Taking taylor expansion of a in a 18.293 * [backup-simplify]: Simplify 0 into 0 18.294 * [backup-simplify]: Simplify 1 into 1 18.294 * [backup-simplify]: Simplify (* 1 1) into 1 18.294 * [backup-simplify]: Simplify (/ 1 1) into 1 18.294 * [backup-simplify]: Simplify 1 into 1 18.294 * [backup-simplify]: Simplify -1 into -1 18.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.296 * [backup-simplify]: Simplify (- 0) into 0 18.296 * [backup-simplify]: Simplify (+ 0 0) into 0 18.297 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.297 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)))) into 0 18.297 * [taylor]: Taking taylor expansion of 0 in a 18.297 * [backup-simplify]: Simplify 0 into 0 18.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.298 * [backup-simplify]: Simplify 0 into 0 18.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.299 * [backup-simplify]: Simplify 0 into 0 18.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.300 * [backup-simplify]: Simplify (- 0) into 0 18.301 * [backup-simplify]: Simplify (+ 0 0) into 0 18.302 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.302 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.302 * [taylor]: Taking taylor expansion of 0 in a 18.302 * [backup-simplify]: Simplify 0 into 0 18.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.304 * [backup-simplify]: Simplify 0 into 0 18.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.305 * [backup-simplify]: Simplify 0 into 0 18.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.306 * [backup-simplify]: Simplify (- 0) into 0 18.306 * [backup-simplify]: Simplify (+ 0 0) into 0 18.307 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.308 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* (/ 1 (pow a 2)) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.308 * [taylor]: Taking taylor expansion of 0 in a 18.308 * [backup-simplify]: Simplify 0 into 0 18.308 * [backup-simplify]: Simplify 0 into 0 18.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.310 * [backup-simplify]: Simplify 0 into 0 18.310 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- a))) (pow (/ 1 (- b)) -2))) (* 1 (* (pow (/ 1 (- a)) -2) (/ 1 (/ 1 (- b)))))) into (- (* a (pow b 2)) (* (pow a 2) b)) 18.310 * * * [progress]: simplifying candidates 18.317 * [simplify]: Simplifying: (expm1 (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (log1p (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (- (+ (log (- b a)) (+ (log a) (log b))) (+ (log 1.0) (log (- b a)))) (- (+ (log (- b a)) (+ (log a) (log b))) (log (* 1.0 (- b a)))) (- (+ (log (- b a)) (log (* a b))) (+ (log 1.0) (log (- b a)))) (- (+ (log (- b a)) (log (* a b))) (log (* 1.0 (- b a)))) (- (log (* (- b a) (* a b))) (+ (log 1.0) (log (- b a)))) (- (log (* (- b a) (* a b))) (log (* 1.0 (- b a)))) (log (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (exp (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (/ (* (* (* (- b a) (- b a)) (- b a)) (* (* (* a a) a) (* (* b b) b))) (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (* (- b a) (- b a)) (- b a)) (* (* (* a a) a) (* (* b b) b))) (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a)))) (/ (* (* (* (- b a) (- b a)) (- b a)) (* (* (* a b) (* a b)) (* a b))) (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (* (- b a) (- b a)) (- b a)) (* (* (* a b) (* a b)) (* a b))) (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a)))) (/ (* (* (* (- b a) (* a b)) (* (- b a) (* a b))) (* (- b a) (* a b))) (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (* (- b a) (* a b)) (* (- b a) (* a b))) (* (- b a) (* a b))) (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a)))) (* (cbrt (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (cbrt (/ (* (- b a) (* a b)) (* 1.0 (- b a))))) (cbrt (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (* (* (/ (* (- b a) (* a b)) (* 1.0 (- b a))) (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (sqrt (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (sqrt (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (- (* (- b a) (* a b))) (- (* 1.0 (- b a))) (/ (- b a) 1.0) (/ (* a b) (- b a)) (/ 1 (* 1.0 (- b a))) (/ (* 1.0 (- b a)) (* (- b a) (* a b))) (/ (* (- b a) (* a b)) 1.0) (/ (* 1.0 (- b a)) (* a b)) (/ (* (- b a) (* a b)) (* 1.0 (- (pow b 3) (pow a 3)))) (/ (* (- b a) (* a b)) (* 1.0 (- (* b b) (* a a)))) (* (* 1.0 (- b a)) (+ (* b b) (+ (* a a) (* b a)))) (* (* 1.0 (- b a)) (+ b a)) (expm1 (/ (/ PI 2.0) (+ b a))) (log1p (/ (/ PI 2.0) (+ b a))) (- (- (log PI) (log 2.0)) (log (+ b a))) (- (log (/ PI 2.0)) (log (+ b a))) (log (/ (/ PI 2.0) (+ b a))) (exp (/ (/ PI 2.0) (+ b a))) (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ (/ PI 2.0) (+ b a))) (cbrt (/ (/ PI 2.0) (+ b a)))) (cbrt (/ (/ PI 2.0) (+ b a))) (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (sqrt (/ (/ PI 2.0) (+ b a))) (sqrt (/ (/ PI 2.0) (+ b a))) (- (/ PI 2.0)) (- (+ b a)) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt (/ PI 2.0)) (cbrt (+ b a))) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (sqrt (+ b a))) (/ (cbrt (/ PI 2.0)) (sqrt (+ b a))) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) 1) (/ (cbrt (/ PI 2.0)) (+ b a)) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) 1) (/ (cbrt (/ PI 2.0)) (+ b a)) (/ (sqrt (/ PI 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI 2.0)) (cbrt (+ b a))) (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (/ (sqrt (/ PI 2.0)) 1) (/ (sqrt (/ PI 2.0)) (+ b a)) (/ (sqrt (/ PI 2.0)) 1) (/ (sqrt (/ PI 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) (cbrt 2.0)) (cbrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ (cbrt PI) (cbrt 2.0)) (sqrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (cbrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) 1) (/ (/ (cbrt PI) (sqrt 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2.0)) 1) (/ (/ (cbrt PI) (sqrt 2.0)) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt PI) 2.0) (cbrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt (+ b a))) (/ (/ (cbrt PI) 2.0) (sqrt (+ b a))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2.0) (+ b a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2.0) (+ b a)) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt (+ b a))) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ (sqrt PI) (cbrt 2.0)) (sqrt (+ b a))) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (sqrt PI) (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ (/ (sqrt PI) (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ (sqrt PI) (sqrt 2.0)) 1) (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ (/ (sqrt PI) (sqrt 2.0)) 1) (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ (/ (sqrt PI) 1) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (sqrt PI) 2.0) (cbrt (+ b a))) (/ (/ (sqrt PI) 1) (sqrt (+ b a))) (/ (/ (sqrt PI) 2.0) (sqrt (+ b a))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2.0) (+ b a)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2.0) (+ b a)) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI (cbrt 2.0)) (cbrt (+ b a))) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ b a))) (/ (/ PI (cbrt 2.0)) (sqrt (+ b a))) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ PI (cbrt 2.0)) (+ b a)) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (/ PI (cbrt 2.0)) (+ b a)) (/ (/ 1 (sqrt 2.0)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI (sqrt 2.0)) (cbrt (+ b a))) (/ (/ 1 (sqrt 2.0)) (sqrt (+ b a))) (/ (/ PI (sqrt 2.0)) (sqrt (+ b a))) (/ (/ 1 (sqrt 2.0)) 1) (/ (/ PI (sqrt 2.0)) (+ b a)) (/ (/ 1 (sqrt 2.0)) 1) (/ (/ PI (sqrt 2.0)) (+ b a)) (/ (/ 1 1) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (cbrt (+ b a))) (/ (/ 1 1) (sqrt (+ b a))) (/ (/ PI 2.0) (sqrt (+ b a))) (/ (/ 1 1) 1) (/ (/ PI 2.0) (+ b a)) (/ (/ 1 1) 1) (/ (/ PI 2.0) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ (/ PI 2.0) (sqrt (+ b a))) (/ 1 1) (/ (/ PI 2.0) (+ b a)) (/ 1 1) (/ (/ PI 2.0) (+ b a)) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ 1 2.0) (cbrt (+ b a))) (/ PI (sqrt (+ b a))) (/ (/ 1 2.0) (sqrt (+ b a))) (/ PI 1) (/ (/ 1 2.0) (+ b a)) (/ PI 1) (/ (/ 1 2.0) (+ b a)) (/ 1 (+ b a)) (/ (+ b a) (/ PI 2.0)) (/ (/ PI 2.0) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ PI 2.0) (sqrt (+ b a))) (/ (/ PI 2.0) 1) (/ (/ PI 2.0) 1) (/ (+ b a) (cbrt (/ PI 2.0))) (/ (+ b a) (sqrt (/ PI 2.0))) (/ (+ b a) (/ (cbrt PI) (cbrt 2.0))) (/ (+ b a) (/ (cbrt PI) (sqrt 2.0))) (/ (+ b a) (/ (cbrt PI) 2.0)) (/ (+ b a) (/ (sqrt PI) (cbrt 2.0))) (/ (+ b a) (/ (sqrt PI) (sqrt 2.0))) (/ (+ b a) (/ (sqrt PI) 2.0)) (/ (+ b a) (/ PI (cbrt 2.0))) (/ (+ b a) (/ PI (sqrt 2.0))) (/ (+ b a) (/ PI 2.0)) (/ (+ b a) (/ PI 2.0)) (/ (+ b a) (/ 1 2.0)) (/ (/ PI 2.0) (+ (pow b 3) (pow a 3))) (/ (/ PI 2.0) (- (* b b) (* a a))) (* (+ b a) 2.0) (expm1 (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (/ (* (- b a) (* a b)) (* 1.0 (- b a))))) (log1p (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (/ (* (- b a) (* a b)) (* 1.0 (- b a))))) (- (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (- (+ (log (- b a)) (+ (log a) (log b))) (+ (log 1.0) (log (- b a))))) (- (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (- (+ (log (- b a)) (+ (log a) (log b))) (log (* 1.0 (- b a))))) (- (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (- (+ (log 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[simplify]: Extracting # 7 : cost 0 18.341 * * [simplify]: Extracting # 8 : cost 0 18.342 * * [simplify]: iteration 0 : 362 enodes (cost 5835 ) 18.477 * * [simplify]: Extracting # 0 : cost 0 18.480 * * [simplify]: Extracting # 1 : cost 0 18.483 * * [simplify]: Extracting # 2 : cost 0 18.484 * * [simplify]: Extracting # 3 : cost 0 18.485 * * [simplify]: Extracting # 4 : cost 0 18.487 * * [simplify]: iteration 1 : 985 enodes (cost 5550 ) 19.654 * * [simplify]: Extracting # 0 : cost 0 19.674 * * [simplify]: Extracting # 1 : cost 0 19.685 * * [simplify]: Extracting # 2 : cost 0 19.696 * * [simplify]: Extracting # 3 : cost 0 19.706 * * [simplify]: iteration 2 : 4496 enodes (cost 3990 ) 21.264 * * [simplify]: Extracting # 0 : cost 0 21.271 * * [simplify]: Extracting # 1 : cost 0 21.277 * * [simplify]: Extracting # 2 : cost 0 21.283 * * [simplify]: iteration done: 5001 enodes (cost 3990 ) 21.285 * [simplify]: Simplified to: (expm1 (/ (* (- b a) (* a b)) (* 1.0 (- b a)))) (log1p (/ (* (- b a) 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* [progress]: adding candidates to table 22.108 * [progress]: [Phase 3 of 3] Extracting. 22.108 * * [regime]: Finding splitpoints for: (# # # # # # #) 22.116 * * * [regime-changes]: Trying 2 branch expressions: (b a) 22.117 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 22.177 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 22.228 * * * [regime]: Found split indices: #