14.923 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.063 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.063 * * [simplify]: iteration 1: (15 enodes) 0.069 * * [simplify]: iteration 2: (30 enodes) 0.082 * * [simplify]: iteration 3: (92 enodes) 0.141 * * [simplify]: iteration 4: (350 enodes) 0.357 * * [simplify]: iteration 5: (1336 enodes) 1.913 * * [simplify]: Extracting #0: cost 1 inf + 0 1.913 * * [simplify]: Extracting #1: cost 155 inf + 0 1.918 * * [simplify]: Extracting #2: cost 777 inf + 88 1.930 * * [simplify]: Extracting #3: cost 965 inf + 20426 2.005 * * [simplify]: Extracting #4: cost 178 inf + 158250 2.070 * * [simplify]: Extracting #5: cost 2 inf + 194386 2.138 * * [simplify]: Extracting #6: cost 0 inf + 194794 2.206 * [simplify]: Simplified to: (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) 2.218 * * [progress]: iteration 1 / 4 2.218 * * * [progress]: picking best candidate 2.228 * * * * [pick]: Picked # 2.228 * * * [progress]: localizing error 2.256 * * * [progress]: generating rewritten candidates 2.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.399 * * * [progress]: generating series expansions 2.399 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.400 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) 2.400 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in (a b) around 0 2.400 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in b 2.400 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 2.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.400 * [taylor]: Taking taylor expansion of 1/2 in b 2.400 * [backup-simplify]: Simplify 1/2 into 1/2 2.400 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.400 * [taylor]: Taking taylor expansion of PI in b 2.400 * [backup-simplify]: Simplify PI into PI 2.400 * [taylor]: Taking taylor expansion of a in b 2.400 * [backup-simplify]: Simplify a into a 2.400 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.401 * [taylor]: Taking taylor expansion of 1/2 in b 2.401 * [backup-simplify]: Simplify 1/2 into 1/2 2.401 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.401 * [taylor]: Taking taylor expansion of PI in b 2.401 * [backup-simplify]: Simplify PI into PI 2.401 * [taylor]: Taking taylor expansion of b in b 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (/ PI 1) into PI 2.401 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 2.401 * [taylor]: Taking taylor expansion of (- b a) in b 2.401 * [taylor]: Taking taylor expansion of b in b 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of a in b 2.401 * [backup-simplify]: Simplify a into a 2.401 * [taylor]: Taking taylor expansion of (+ a b) in b 2.401 * [taylor]: Taking taylor expansion of a in b 2.401 * [backup-simplify]: Simplify a into a 2.401 * [taylor]: Taking taylor expansion of b in b 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.402 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.403 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 2.403 * [backup-simplify]: Simplify (- a) into (- a) 2.403 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.403 * [backup-simplify]: Simplify (+ a 0) into a 2.403 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 2.404 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 2.404 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 2.404 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.404 * [taylor]: Taking taylor expansion of 1/2 in a 2.404 * [backup-simplify]: Simplify 1/2 into 1/2 2.404 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.404 * [taylor]: Taking taylor expansion of PI in a 2.404 * [backup-simplify]: Simplify PI into PI 2.404 * [taylor]: Taking taylor expansion of a in a 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (/ PI 1) into PI 2.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.405 * [taylor]: Taking taylor expansion of 1/2 in a 2.405 * [backup-simplify]: Simplify 1/2 into 1/2 2.405 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.405 * [taylor]: Taking taylor expansion of PI in a 2.405 * [backup-simplify]: Simplify PI into PI 2.405 * [taylor]: Taking taylor expansion of b in a 2.405 * [backup-simplify]: Simplify b into b 2.405 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.405 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.405 * [taylor]: Taking taylor expansion of (- b a) in a 2.405 * [taylor]: Taking taylor expansion of b in a 2.405 * [backup-simplify]: Simplify b into b 2.405 * [taylor]: Taking taylor expansion of a in a 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of (+ a b) in a 2.405 * [taylor]: Taking taylor expansion of a in a 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [taylor]: Taking taylor expansion of b in a 2.405 * [backup-simplify]: Simplify b into b 2.405 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.406 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.406 * [backup-simplify]: Simplify (- 0) into 0 2.406 * [backup-simplify]: Simplify (+ b 0) into b 2.406 * [backup-simplify]: Simplify (+ 0 b) into b 2.406 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.407 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 2.407 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 2.407 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.407 * [taylor]: Taking taylor expansion of 1/2 in a 2.407 * [backup-simplify]: Simplify 1/2 into 1/2 2.407 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.407 * [taylor]: Taking taylor expansion of PI in a 2.407 * [backup-simplify]: Simplify PI into PI 2.407 * [taylor]: Taking taylor expansion of a in a 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ PI 1) into PI 2.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.407 * [taylor]: Taking taylor expansion of 1/2 in a 2.407 * [backup-simplify]: Simplify 1/2 into 1/2 2.407 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.407 * [taylor]: Taking taylor expansion of PI in a 2.407 * [backup-simplify]: Simplify PI into PI 2.407 * [taylor]: Taking taylor expansion of b in a 2.407 * [backup-simplify]: Simplify b into b 2.407 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.407 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.407 * [taylor]: Taking taylor expansion of (- b a) in a 2.407 * [taylor]: Taking taylor expansion of b in a 2.407 * [backup-simplify]: Simplify b into b 2.407 * [taylor]: Taking taylor expansion of a in a 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [taylor]: Taking taylor expansion of (+ a b) in a 2.407 * [taylor]: Taking taylor expansion of a in a 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [taylor]: Taking taylor expansion of b in a 2.408 * [backup-simplify]: Simplify b into b 2.408 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.409 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.409 * [backup-simplify]: Simplify (- 0) into 0 2.409 * [backup-simplify]: Simplify (+ b 0) into b 2.409 * [backup-simplify]: Simplify (+ 0 b) into b 2.409 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.409 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 2.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.409 * [taylor]: Taking taylor expansion of 1/2 in b 2.409 * [backup-simplify]: Simplify 1/2 into 1/2 2.409 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.409 * [taylor]: Taking taylor expansion of PI in b 2.409 * [backup-simplify]: Simplify PI into PI 2.409 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.409 * [taylor]: Taking taylor expansion of b in b 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.410 * [backup-simplify]: Simplify (* 1 1) into 1 2.410 * [backup-simplify]: Simplify (/ PI 1) into PI 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.412 * [backup-simplify]: Simplify 0 into 0 2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.413 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.413 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 2.413 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 2.413 * [backup-simplify]: Simplify (+ 1 0) into 1 2.413 * [backup-simplify]: Simplify (- 1) into -1 2.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.414 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 2.414 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 2.414 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.414 * [taylor]: Taking taylor expansion of 1/2 in b 2.414 * [backup-simplify]: Simplify 1/2 into 1/2 2.414 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.415 * [taylor]: Taking taylor expansion of PI in b 2.415 * [backup-simplify]: Simplify PI into PI 2.415 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.415 * [taylor]: Taking taylor expansion of b in b 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (/ PI 1) into PI 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.424 * [backup-simplify]: Simplify (- 0) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 2.430 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 0 0) into 0 2.432 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 2.433 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 2.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.433 * [taylor]: Taking taylor expansion of 1/2 in b 2.433 * [backup-simplify]: Simplify 1/2 into 1/2 2.433 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.433 * [taylor]: Taking taylor expansion of PI in b 2.433 * [backup-simplify]: Simplify PI into PI 2.433 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.433 * [taylor]: Taking taylor expansion of b in b 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (/ PI 1) into PI 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.455 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 2.461 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.461 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 2.461 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 2.461 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.461 * [taylor]: Taking taylor expansion of 1/2 in b 2.461 * [backup-simplify]: Simplify 1/2 into 1/2 2.461 * [taylor]: Taking taylor expansion of (* a PI) in b 2.461 * [taylor]: Taking taylor expansion of a in b 2.461 * [backup-simplify]: Simplify a into a 2.461 * [taylor]: Taking taylor expansion of PI in b 2.461 * [backup-simplify]: Simplify PI into PI 2.461 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.461 * [taylor]: Taking taylor expansion of 1/2 in b 2.461 * [backup-simplify]: Simplify 1/2 into 1/2 2.461 * [taylor]: Taking taylor expansion of (* b PI) in b 2.461 * [taylor]: Taking taylor expansion of b in b 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [taylor]: Taking taylor expansion of PI in b 2.461 * [backup-simplify]: Simplify PI into PI 2.461 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 2.461 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.461 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.461 * [taylor]: Taking taylor expansion of b in b 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.462 * [taylor]: Taking taylor expansion of a in b 2.462 * [backup-simplify]: Simplify a into a 2.462 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.462 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.462 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.462 * [taylor]: Taking taylor expansion of a in b 2.462 * [backup-simplify]: Simplify a into a 2.462 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.462 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.462 * [taylor]: Taking taylor expansion of b in b 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.463 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.463 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.463 * [backup-simplify]: Simplify (* 0 PI) into 0 2.464 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 2.465 * [backup-simplify]: Simplify (+ 1 0) into 1 2.465 * [backup-simplify]: Simplify (+ 0 1) into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 2.466 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.466 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.466 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.466 * [taylor]: Taking taylor expansion of 1/2 in a 2.466 * [backup-simplify]: Simplify 1/2 into 1/2 2.466 * [taylor]: Taking taylor expansion of (* a PI) in a 2.466 * [taylor]: Taking taylor expansion of a in a 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of PI in a 2.466 * [backup-simplify]: Simplify PI into PI 2.466 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.466 * [taylor]: Taking taylor expansion of 1/2 in a 2.466 * [backup-simplify]: Simplify 1/2 into 1/2 2.466 * [taylor]: Taking taylor expansion of (* b PI) in a 2.466 * [taylor]: Taking taylor expansion of b in a 2.466 * [backup-simplify]: Simplify b into b 2.466 * [taylor]: Taking taylor expansion of PI in a 2.466 * [backup-simplify]: Simplify PI into PI 2.466 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.466 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.466 * [taylor]: Taking taylor expansion of b in a 2.467 * [backup-simplify]: Simplify b into b 2.467 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.467 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.467 * [taylor]: Taking taylor expansion of a in a 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.467 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.467 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.467 * [taylor]: Taking taylor expansion of a in a 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ 1 1) into 1 2.468 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.468 * [taylor]: Taking taylor expansion of b in a 2.468 * [backup-simplify]: Simplify b into b 2.468 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.468 * [backup-simplify]: Simplify (* 0 PI) into 0 2.469 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.469 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.469 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.469 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.469 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.470 * [backup-simplify]: Simplify (- 1) into -1 2.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.470 * [backup-simplify]: Simplify (+ 1 0) into 1 2.471 * [backup-simplify]: Simplify (* -1 1) into -1 2.471 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.471 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.471 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.471 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.471 * [taylor]: Taking taylor expansion of 1/2 in a 2.471 * [backup-simplify]: Simplify 1/2 into 1/2 2.471 * [taylor]: Taking taylor expansion of (* a PI) in a 2.471 * [taylor]: Taking taylor expansion of a in a 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of PI in a 2.471 * [backup-simplify]: Simplify PI into PI 2.471 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.471 * [taylor]: Taking taylor expansion of 1/2 in a 2.471 * [backup-simplify]: Simplify 1/2 into 1/2 2.471 * [taylor]: Taking taylor expansion of (* b PI) in a 2.471 * [taylor]: Taking taylor expansion of b in a 2.472 * [backup-simplify]: Simplify b into b 2.472 * [taylor]: Taking taylor expansion of PI in a 2.472 * [backup-simplify]: Simplify PI into PI 2.472 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.472 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.472 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.472 * [taylor]: Taking taylor expansion of b in a 2.472 * [backup-simplify]: Simplify b into b 2.472 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.472 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.472 * [taylor]: Taking taylor expansion of a in a 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (/ 1 1) into 1 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.472 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.472 * [taylor]: Taking taylor expansion of a in a 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (/ 1 1) into 1 2.473 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.473 * [taylor]: Taking taylor expansion of b in a 2.473 * [backup-simplify]: Simplify b into b 2.473 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.473 * [backup-simplify]: Simplify (* 0 PI) into 0 2.474 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.474 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.474 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.474 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.474 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.475 * [backup-simplify]: Simplify (- 1) into -1 2.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.476 * [backup-simplify]: Simplify (+ 1 0) into 1 2.476 * [backup-simplify]: Simplify (* -1 1) into -1 2.476 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.476 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.476 * [taylor]: Taking taylor expansion of 1/2 in b 2.476 * [backup-simplify]: Simplify 1/2 into 1/2 2.476 * [taylor]: Taking taylor expansion of (* b PI) in b 2.477 * [taylor]: Taking taylor expansion of b in b 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 1 into 1 2.477 * [taylor]: Taking taylor expansion of PI in b 2.477 * [backup-simplify]: Simplify PI into PI 2.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.480 * [backup-simplify]: Simplify (* 0 PI) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.485 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.485 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.490 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 2.492 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 2.492 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.492 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.492 * [taylor]: Taking taylor expansion of 1/2 in b 2.492 * [backup-simplify]: Simplify 1/2 into 1/2 2.492 * [taylor]: Taking taylor expansion of PI in b 2.492 * [backup-simplify]: Simplify PI into PI 2.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.499 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.500 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.502 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (- 0) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 2.507 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 2.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.507 * [taylor]: Taking taylor expansion of 1/2 in b 2.507 * [backup-simplify]: Simplify 1/2 into 1/2 2.507 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.507 * [taylor]: Taking taylor expansion of PI in b 2.507 * [backup-simplify]: Simplify PI into PI 2.507 * [taylor]: Taking taylor expansion of b in b 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.508 * [backup-simplify]: Simplify (/ PI 1) into PI 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 2.518 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 2.519 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 2.519 * [taylor]: Taking taylor expansion of -1 in b 2.519 * [backup-simplify]: Simplify -1 into -1 2.519 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 2.519 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 2.519 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.519 * [taylor]: Taking taylor expansion of 1/2 in b 2.519 * [backup-simplify]: Simplify 1/2 into 1/2 2.519 * [taylor]: Taking taylor expansion of (* b PI) in b 2.519 * [taylor]: Taking taylor expansion of b in b 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.519 * [taylor]: Taking taylor expansion of PI in b 2.519 * [backup-simplify]: Simplify PI into PI 2.519 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.519 * [taylor]: Taking taylor expansion of 1/2 in b 2.519 * [backup-simplify]: Simplify 1/2 into 1/2 2.519 * [taylor]: Taking taylor expansion of (* a PI) in b 2.519 * [taylor]: Taking taylor expansion of a in b 2.519 * [backup-simplify]: Simplify a into a 2.519 * [taylor]: Taking taylor expansion of PI in b 2.519 * [backup-simplify]: Simplify PI into PI 2.519 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 2.519 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.519 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.519 * [taylor]: Taking taylor expansion of a in b 2.519 * [backup-simplify]: Simplify a into a 2.519 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.519 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.519 * [taylor]: Taking taylor expansion of b in b 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.520 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.520 * [taylor]: Taking taylor expansion of a in b 2.520 * [backup-simplify]: Simplify a into a 2.520 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.520 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.520 * [taylor]: Taking taylor expansion of b in b 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [backup-simplify]: Simplify (* 0 PI) into 0 2.521 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.522 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.522 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.522 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 2.522 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 2.522 * [backup-simplify]: Simplify (+ 0 1) into 1 2.523 * [backup-simplify]: Simplify (- 1) into -1 2.523 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.524 * [backup-simplify]: Simplify (* 1 -1) into -1 2.524 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 2.524 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.524 * [taylor]: Taking taylor expansion of -1 in a 2.524 * [backup-simplify]: Simplify -1 into -1 2.524 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.524 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.524 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.524 * [taylor]: Taking taylor expansion of 1/2 in a 2.524 * [backup-simplify]: Simplify 1/2 into 1/2 2.524 * [taylor]: Taking taylor expansion of (* b PI) in a 2.524 * [taylor]: Taking taylor expansion of b in a 2.524 * [backup-simplify]: Simplify b into b 2.524 * [taylor]: Taking taylor expansion of PI in a 2.524 * [backup-simplify]: Simplify PI into PI 2.524 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.524 * [taylor]: Taking taylor expansion of 1/2 in a 2.524 * [backup-simplify]: Simplify 1/2 into 1/2 2.524 * [taylor]: Taking taylor expansion of (* a PI) in a 2.524 * [taylor]: Taking taylor expansion of a in a 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [taylor]: Taking taylor expansion of PI in a 2.524 * [backup-simplify]: Simplify PI into PI 2.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.524 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.524 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.524 * [taylor]: Taking taylor expansion of a in a 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (/ 1 1) into 1 2.525 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.525 * [taylor]: Taking taylor expansion of b in a 2.525 * [backup-simplify]: Simplify b into b 2.525 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.525 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.525 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.525 * [taylor]: Taking taylor expansion of a in a 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (/ 1 1) into 1 2.526 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.526 * [taylor]: Taking taylor expansion of b in a 2.526 * [backup-simplify]: Simplify b into b 2.526 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.526 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.526 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.526 * [backup-simplify]: Simplify (* 0 PI) into 0 2.526 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.527 * [backup-simplify]: Simplify (- 0) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 2.527 * [backup-simplify]: Simplify (+ 1 0) into 1 2.527 * [backup-simplify]: Simplify (+ 1 0) into 1 2.527 * [backup-simplify]: Simplify (* 1 1) into 1 2.527 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 2.527 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.527 * [taylor]: Taking taylor expansion of -1 in a 2.528 * [backup-simplify]: Simplify -1 into -1 2.528 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.528 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.528 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.528 * [taylor]: Taking taylor expansion of 1/2 in a 2.528 * [backup-simplify]: Simplify 1/2 into 1/2 2.528 * [taylor]: Taking taylor expansion of (* b PI) in a 2.528 * [taylor]: Taking taylor expansion of b in a 2.528 * [backup-simplify]: Simplify b into b 2.528 * [taylor]: Taking taylor expansion of PI in a 2.528 * [backup-simplify]: Simplify PI into PI 2.528 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.528 * [taylor]: Taking taylor expansion of 1/2 in a 2.528 * [backup-simplify]: Simplify 1/2 into 1/2 2.528 * [taylor]: Taking taylor expansion of (* a PI) in a 2.528 * [taylor]: Taking taylor expansion of a in a 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [taylor]: Taking taylor expansion of PI in a 2.528 * [backup-simplify]: Simplify PI into PI 2.528 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.528 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.528 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.528 * [taylor]: Taking taylor expansion of a in a 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.528 * [taylor]: Taking taylor expansion of b in a 2.528 * [backup-simplify]: Simplify b into b 2.528 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.528 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.528 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.528 * [taylor]: Taking taylor expansion of a in a 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.529 * [taylor]: Taking taylor expansion of b in a 2.529 * [backup-simplify]: Simplify b into b 2.529 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.529 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.529 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.529 * [backup-simplify]: Simplify (* 0 PI) into 0 2.529 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.529 * [backup-simplify]: Simplify (- 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 2.530 * [backup-simplify]: Simplify (+ 1 0) into 1 2.530 * [backup-simplify]: Simplify (+ 1 0) into 1 2.530 * [backup-simplify]: Simplify (* 1 1) into 1 2.530 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 2.530 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 2.531 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 2.531 * [taylor]: Taking taylor expansion of -1/2 in b 2.531 * [backup-simplify]: Simplify -1/2 into -1/2 2.531 * [taylor]: Taking taylor expansion of (* PI b) in b 2.531 * [taylor]: Taking taylor expansion of PI in b 2.531 * [backup-simplify]: Simplify PI into PI 2.531 * [taylor]: Taking taylor expansion of b in b 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.532 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.532 * [backup-simplify]: Simplify (* PI 0) into 0 2.533 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.533 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.535 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.536 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.536 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.537 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.538 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.539 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 2.540 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 2.541 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 2.541 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.541 * [taylor]: Taking taylor expansion of 1/2 in b 2.541 * [backup-simplify]: Simplify 1/2 into 1/2 2.541 * [taylor]: Taking taylor expansion of PI in b 2.541 * [backup-simplify]: Simplify PI into PI 2.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify (+ 0 0) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.547 * [backup-simplify]: Simplify (- 0) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.548 * [backup-simplify]: Simplify (+ 0 0) into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 2.551 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 2.551 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.551 * [taylor]: Taking taylor expansion of 1/2 in b 2.551 * [backup-simplify]: Simplify 1/2 into 1/2 2.551 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.551 * [taylor]: Taking taylor expansion of PI in b 2.551 * [backup-simplify]: Simplify PI into PI 2.551 * [taylor]: Taking taylor expansion of b in b 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (/ PI 1) into PI 2.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.554 * [backup-simplify]: Simplify (- 0) into 0 2.554 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.556 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 0 into 0 2.557 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.557 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 2.557 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 2.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.557 * [taylor]: Taking taylor expansion of 1/2 in a 2.557 * [backup-simplify]: Simplify 1/2 into 1/2 2.557 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.557 * [taylor]: Taking taylor expansion of PI in a 2.557 * [backup-simplify]: Simplify PI into PI 2.557 * [taylor]: Taking taylor expansion of a in a 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (/ PI 1) into PI 2.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.557 * [taylor]: Taking taylor expansion of 1/2 in a 2.557 * [backup-simplify]: Simplify 1/2 into 1/2 2.557 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.558 * [taylor]: Taking taylor expansion of PI in a 2.558 * [backup-simplify]: Simplify PI into PI 2.558 * [taylor]: Taking taylor expansion of a in a 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify 1 into 1 2.558 * [backup-simplify]: Simplify (/ PI 1) into PI 2.559 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.559 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.561 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 2.578 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 2.578 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 2.578 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.578 * [taylor]: Taking taylor expansion of 1/2 in a 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of (* a PI) in a 2.578 * [taylor]: Taking taylor expansion of a in a 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of PI in a 2.578 * [backup-simplify]: Simplify PI into PI 2.578 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.578 * [taylor]: Taking taylor expansion of 1/2 in a 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of (* a PI) in a 2.578 * [taylor]: Taking taylor expansion of a in a 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of PI in a 2.578 * [backup-simplify]: Simplify PI into PI 2.579 * [backup-simplify]: Simplify (* 0 PI) into 0 2.579 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.583 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.583 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 2.603 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 2.603 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 2.603 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.603 * [taylor]: Taking taylor expansion of -1/2 in a 2.603 * [backup-simplify]: Simplify -1/2 into -1/2 2.603 * [taylor]: Taking taylor expansion of (* a PI) in a 2.603 * [taylor]: Taking taylor expansion of a in a 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of PI in a 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.603 * [taylor]: Taking taylor expansion of -1/2 in a 2.603 * [backup-simplify]: Simplify -1/2 into -1/2 2.603 * [taylor]: Taking taylor expansion of (* a PI) in a 2.603 * [taylor]: Taking taylor expansion of a in a 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of PI in a 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [backup-simplify]: Simplify (* 0 PI) into 0 2.604 * [backup-simplify]: Simplify (* -1/2 0) into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.606 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 2.606 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.607 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.607 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.609 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.610 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.612 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.614 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.617 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 2.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.618 * [backup-simplify]: Simplify (/ (/ PI 2) b) into (* 1/2 (/ PI b)) 2.618 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 2.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.618 * [taylor]: Taking taylor expansion of 1/2 in b 2.618 * [backup-simplify]: Simplify 1/2 into 1/2 2.618 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.618 * [taylor]: Taking taylor expansion of PI in b 2.618 * [backup-simplify]: Simplify PI into PI 2.618 * [taylor]: Taking taylor expansion of b in b 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ PI 1) into PI 2.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.618 * [taylor]: Taking taylor expansion of 1/2 in b 2.618 * [backup-simplify]: Simplify 1/2 into 1/2 2.618 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.618 * [taylor]: Taking taylor expansion of PI in b 2.618 * [backup-simplify]: Simplify PI into PI 2.618 * [taylor]: Taking taylor expansion of b in b 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (/ PI 1) into PI 2.619 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.619 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 2.629 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 b)) into (* 1/2 (* b PI)) 2.629 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 2.629 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.629 * [taylor]: Taking taylor expansion of 1/2 in b 2.629 * [backup-simplify]: Simplify 1/2 into 1/2 2.629 * [taylor]: Taking taylor expansion of (* b PI) in b 2.629 * [taylor]: Taking taylor expansion of b in b 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [taylor]: Taking taylor expansion of PI in b 2.629 * [backup-simplify]: Simplify PI into PI 2.629 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.629 * [taylor]: Taking taylor expansion of 1/2 in b 2.629 * [backup-simplify]: Simplify 1/2 into 1/2 2.629 * [taylor]: Taking taylor expansion of (* b PI) in b 2.629 * [taylor]: Taking taylor expansion of b in b 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [taylor]: Taking taylor expansion of PI in b 2.629 * [backup-simplify]: Simplify PI into PI 2.629 * [backup-simplify]: Simplify (* 0 PI) into 0 2.629 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.631 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.632 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 2.649 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- b))) into (* -1/2 (* b PI)) 2.649 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 2.649 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 2.649 * [taylor]: Taking taylor expansion of -1/2 in b 2.649 * [backup-simplify]: Simplify -1/2 into -1/2 2.649 * [taylor]: Taking taylor expansion of (* b PI) in b 2.649 * [taylor]: Taking taylor expansion of b in b 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of PI in b 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 2.649 * [taylor]: Taking taylor expansion of -1/2 in b 2.649 * [backup-simplify]: Simplify -1/2 into -1/2 2.649 * [taylor]: Taking taylor expansion of (* b PI) in b 2.649 * [taylor]: Taking taylor expansion of b in b 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of PI in b 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [backup-simplify]: Simplify (* 0 PI) into 0 2.650 * [backup-simplify]: Simplify (* -1/2 0) into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.652 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 2.652 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.654 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.657 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.659 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.661 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.664 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 2.664 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.665 * [backup-simplify]: Simplify (- (/ (/ PI 2) a) (/ (/ PI 2) b)) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.665 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in (a b) around 0 2.665 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 2.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.665 * [taylor]: Taking taylor expansion of 1/2 in b 2.665 * [backup-simplify]: Simplify 1/2 into 1/2 2.665 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.665 * [taylor]: Taking taylor expansion of PI in b 2.665 * [backup-simplify]: Simplify PI into PI 2.665 * [taylor]: Taking taylor expansion of a in b 2.665 * [backup-simplify]: Simplify a into a 2.665 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.665 * [taylor]: Taking taylor expansion of 1/2 in b 2.665 * [backup-simplify]: Simplify 1/2 into 1/2 2.665 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.665 * [taylor]: Taking taylor expansion of PI in b 2.665 * [backup-simplify]: Simplify PI into PI 2.665 * [taylor]: Taking taylor expansion of b in b 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (/ PI 1) into PI 2.666 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.666 * [taylor]: Taking taylor expansion of 1/2 in a 2.666 * [backup-simplify]: Simplify 1/2 into 1/2 2.666 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.666 * [taylor]: Taking taylor expansion of PI in a 2.666 * [backup-simplify]: Simplify PI into PI 2.666 * [taylor]: Taking taylor expansion of a in a 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (/ PI 1) into PI 2.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.666 * [taylor]: Taking taylor expansion of 1/2 in a 2.666 * [backup-simplify]: Simplify 1/2 into 1/2 2.666 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.666 * [taylor]: Taking taylor expansion of PI in a 2.666 * [backup-simplify]: Simplify PI into PI 2.666 * [taylor]: Taking taylor expansion of b in a 2.666 * [backup-simplify]: Simplify b into b 2.666 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.666 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.667 * [taylor]: Taking taylor expansion of 1/2 in a 2.667 * [backup-simplify]: Simplify 1/2 into 1/2 2.667 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.667 * [taylor]: Taking taylor expansion of PI in a 2.667 * [backup-simplify]: Simplify PI into PI 2.667 * [taylor]: Taking taylor expansion of a in a 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (/ PI 1) into PI 2.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.667 * [taylor]: Taking taylor expansion of 1/2 in a 2.667 * [backup-simplify]: Simplify 1/2 into 1/2 2.667 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.667 * [taylor]: Taking taylor expansion of PI in a 2.667 * [backup-simplify]: Simplify PI into PI 2.667 * [taylor]: Taking taylor expansion of b in a 2.667 * [backup-simplify]: Simplify b into b 2.667 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.667 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.668 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.668 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.668 * [taylor]: Taking taylor expansion of 1/2 in b 2.668 * [backup-simplify]: Simplify 1/2 into 1/2 2.668 * [taylor]: Taking taylor expansion of PI in b 2.668 * [backup-simplify]: Simplify PI into PI 2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.669 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.669 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 2.669 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 2.669 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.670 * [taylor]: Taking taylor expansion of 1/2 in b 2.670 * [backup-simplify]: Simplify 1/2 into 1/2 2.670 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.670 * [taylor]: Taking taylor expansion of PI in b 2.670 * [backup-simplify]: Simplify PI into PI 2.670 * [taylor]: Taking taylor expansion of b in b 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (/ PI 1) into PI 2.670 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.671 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.672 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.672 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.672 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.674 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 2.674 * [backup-simplify]: Simplify (- 0) into 0 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [taylor]: Taking taylor expansion of 0 in b 2.674 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 2.680 * [backup-simplify]: Simplify (- 0) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [taylor]: Taking taylor expansion of 0 in b 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.682 * [backup-simplify]: Simplify (- 0) into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI b))))) into 0 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in b 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* 1 (/ 1 a))) (* (- (* 1/2 PI)) (* (/ 1 b) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.691 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) into (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) 2.691 * [approximate]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in (a b) around 0 2.691 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 2.691 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.691 * [taylor]: Taking taylor expansion of 1/2 in b 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (* a PI) in b 2.692 * [taylor]: Taking taylor expansion of a in b 2.692 * [backup-simplify]: Simplify a into a 2.692 * [taylor]: Taking taylor expansion of PI in b 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.692 * [taylor]: Taking taylor expansion of 1/2 in b 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (* b PI) in b 2.692 * [taylor]: Taking taylor expansion of b in b 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of PI in b 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.692 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.692 * [taylor]: Taking taylor expansion of 1/2 in a 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (* a PI) in a 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of PI in a 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.692 * [taylor]: Taking taylor expansion of 1/2 in a 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (* b PI) in a 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [taylor]: Taking taylor expansion of PI in a 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.692 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.692 * [taylor]: Taking taylor expansion of 1/2 in a 2.692 * [backup-simplify]: Simplify 1/2 into 1/2 2.692 * [taylor]: Taking taylor expansion of (* a PI) in a 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of PI in a 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.693 * [taylor]: Taking taylor expansion of 1/2 in a 2.693 * [backup-simplify]: Simplify 1/2 into 1/2 2.693 * [taylor]: Taking taylor expansion of (* b PI) in a 2.693 * [taylor]: Taking taylor expansion of b in a 2.693 * [backup-simplify]: Simplify b into b 2.693 * [taylor]: Taking taylor expansion of PI in a 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [backup-simplify]: Simplify (* 0 PI) into 0 2.694 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.694 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.694 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.694 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.694 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.694 * [taylor]: Taking taylor expansion of (- (* 1/2 (* PI b))) in b 2.694 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.694 * [taylor]: Taking taylor expansion of 1/2 in b 2.694 * [backup-simplify]: Simplify 1/2 into 1/2 2.694 * [taylor]: Taking taylor expansion of (* PI b) in b 2.694 * [taylor]: Taking taylor expansion of PI in b 2.694 * [backup-simplify]: Simplify PI into PI 2.694 * [taylor]: Taking taylor expansion of b in b 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (* PI 0) into 0 2.695 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.696 * [backup-simplify]: Simplify (- 0) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.699 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.699 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.702 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.702 * [taylor]: Taking taylor expansion of 1/2 in b 2.702 * [backup-simplify]: Simplify 1/2 into 1/2 2.702 * [taylor]: Taking taylor expansion of PI in b 2.702 * [backup-simplify]: Simplify PI into PI 2.702 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.703 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.705 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.706 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.707 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.708 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.711 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.712 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in b 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.716 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.720 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in b 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 b) 1)) (* (* 1/2 PI) (* 1 (/ 1 a)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.727 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) into (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) 2.727 * [approximate]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in (a b) around 0 2.727 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 2.727 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.727 * [taylor]: Taking taylor expansion of 1/2 in b 2.727 * [backup-simplify]: Simplify 1/2 into 1/2 2.727 * [taylor]: Taking taylor expansion of (* b PI) in b 2.727 * [taylor]: Taking taylor expansion of b in b 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [taylor]: Taking taylor expansion of PI in b 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.727 * [taylor]: Taking taylor expansion of 1/2 in b 2.727 * [backup-simplify]: Simplify 1/2 into 1/2 2.727 * [taylor]: Taking taylor expansion of (* a PI) in b 2.727 * [taylor]: Taking taylor expansion of a in b 2.727 * [backup-simplify]: Simplify a into a 2.727 * [taylor]: Taking taylor expansion of PI in b 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.727 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.727 * [taylor]: Taking taylor expansion of 1/2 in a 2.727 * [backup-simplify]: Simplify 1/2 into 1/2 2.727 * [taylor]: Taking taylor expansion of (* b PI) in a 2.727 * [taylor]: Taking taylor expansion of b in a 2.727 * [backup-simplify]: Simplify b into b 2.727 * [taylor]: Taking taylor expansion of PI in a 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.727 * [taylor]: Taking taylor expansion of 1/2 in a 2.727 * [backup-simplify]: Simplify 1/2 into 1/2 2.727 * [taylor]: Taking taylor expansion of (* a PI) in a 2.727 * [taylor]: Taking taylor expansion of a in a 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of PI in a 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.728 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.728 * [taylor]: Taking taylor expansion of 1/2 in a 2.728 * [backup-simplify]: Simplify 1/2 into 1/2 2.728 * [taylor]: Taking taylor expansion of (* b PI) in a 2.728 * [taylor]: Taking taylor expansion of b in a 2.728 * [backup-simplify]: Simplify b into b 2.728 * [taylor]: Taking taylor expansion of PI in a 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.728 * [taylor]: Taking taylor expansion of 1/2 in a 2.728 * [backup-simplify]: Simplify 1/2 into 1/2 2.728 * [taylor]: Taking taylor expansion of (* a PI) in a 2.728 * [taylor]: Taking taylor expansion of a in a 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of PI in a 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.728 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.729 * [backup-simplify]: Simplify (* 0 PI) into 0 2.729 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.730 * [backup-simplify]: Simplify (- 0) into 0 2.730 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 2.730 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.730 * [taylor]: Taking taylor expansion of 1/2 in b 2.730 * [backup-simplify]: Simplify 1/2 into 1/2 2.730 * [taylor]: Taking taylor expansion of (* PI b) in b 2.730 * [taylor]: Taking taylor expansion of PI in b 2.730 * [backup-simplify]: Simplify PI into PI 2.730 * [taylor]: Taking taylor expansion of b in b 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* PI 0) into 0 2.730 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.733 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.734 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.735 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 2.735 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.735 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.735 * [taylor]: Taking taylor expansion of 1/2 in b 2.735 * [backup-simplify]: Simplify 1/2 into 1/2 2.735 * [taylor]: Taking taylor expansion of PI in b 2.735 * [backup-simplify]: Simplify PI into PI 2.735 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.736 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.736 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.737 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.738 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.739 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.739 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.741 * [backup-simplify]: Simplify (- 0) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [taylor]: Taking taylor expansion of 0 in b 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.746 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [taylor]: Taking taylor expansion of 0 in b 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.748 * [backup-simplify]: Simplify (- 0) into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* (/ 1 (- b)) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 (- a))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.749 * * * [progress]: simplifying candidates 2.749 * * * * [progress]: [ 1 / 274 ] simplifiying candidate # 2.749 * * * 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simplifiying candidate # 2.760 * * * * [progress]: [ 262 / 274 ] simplifiying candidate #real (real->posit16 (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (+ a b) (- b a))))> 2.760 * * * * [progress]: [ 263 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 264 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 265 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 266 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 267 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 268 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 269 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 270 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 271 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 272 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 273 / 274 ] simplifiying candidate # 2.760 * * * * [progress]: [ 274 / 274 ] simplifiying candidate # 2.764 * [simplify]: Simplifying: (- (log (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) (- (log (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (log (* (+ a b) (- b a)))) (log (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (exp (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (/ (* (* (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- b a)))) (* (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (* (* (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (- (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (* (+ a b) (- b a))) (/ (/ (/ PI 2) a) (* (+ a b) (- b a))) (/ (/ (/ PI 2) b) (* (+ a b) (- b a))) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (+ a b)) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- b a)) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- b a)) (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (/ PI 2)) (sqrt b))) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (- b a)) (/ (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (/ PI 2) b))) (+ a b)) (/ (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (/ PI 2) b))) (- b a)) (/ (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b)) (/ (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (- b a)) (/ (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b)) (/ (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (- b a)) (/ (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (/ PI 2) b))) (+ a b)) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (/ PI 2) b))) (- b a)) (/ (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b)) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (- b a)) (/ (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b)) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (- b a)) (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (+ a b)) (/ (- (/ (cbrt (/ PI 2)) 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b))) (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.774 * * [simplify]: iteration 1: (438 enodes) 2.937 * * [simplify]: iteration 2: (1073 enodes) 3.571 * * [simplify]: Extracting #0: cost 319 inf + 0 3.573 * * [simplify]: Extracting #1: cost 921 inf + 44 3.578 * * [simplify]: Extracting #2: cost 1260 inf + 4380 3.593 * * [simplify]: Extracting #3: cost 750 inf + 100285 3.664 * * [simplify]: Extracting #4: cost 124 inf + 277815 3.739 * * [simplify]: Extracting #5: cost 0 inf + 320021 3.848 * * [simplify]: Extracting #6: cost 0 inf + 319679 3.949 * [simplify]: Simplified to: (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (exp (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (* (* (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a)) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a 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2))) (/ (sqrt (/ PI 2)) (sqrt b))) (- (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (sqrt (/ PI 2)) (sqrt b))) (+ (/ (/ (sqrt PI) (sqrt b)) (sqrt 2)) (/ (sqrt PI) (* (sqrt a) (sqrt 2)))) (- (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (/ (sqrt PI) (sqrt b)) (sqrt 2))) (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b)) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b)) (- (/ (/ (cbrt PI) a) (cbrt 2)) (/ (cbrt PI) (* (cbrt 2) b))) (- (/ (cbrt PI) (* (sqrt 2) a)) (/ (/ (cbrt PI) (sqrt 2)) b)) (- (/ (/ (cbrt PI) 2) a) (/ (/ (cbrt PI) 2) b)) (- (/ (/ (sqrt PI) a) (cbrt 2)) (/ (sqrt PI) (* (cbrt 2) b))) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) b) (sqrt 2))) (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (/ b 1/2))) (- (/ PI (* a (cbrt 2))) (/ PI (* (cbrt 2) b))) (- (/ PI (* (sqrt 2) a)) (/ (/ PI b) (sqrt 2))) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ 1 a) (/ 1 b)) (- (/ (/ PI b) 2)) (real->posit16 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) 0 0 0 (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) b) (/ (* PI 1/2) b) (/ (* PI 1/2) b) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) 3.975 * * * [progress]: adding candidates to table 6.582 * * [progress]: iteration 2 / 4 6.582 * * * [progress]: picking best candidate 6.607 * * * * [pick]: Picked # 6.607 * * * [progress]: localizing error 6.648 * * * [progress]: generating rewritten candidates 6.648 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 6.761 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 6.786 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.945 * * * [progress]: generating series expansions 6.945 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.946 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) 6.946 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in (a b) around 0 6.946 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in b 6.946 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 6.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 6.946 * [taylor]: Taking taylor expansion of 1/2 in b 6.946 * [backup-simplify]: Simplify 1/2 into 1/2 6.946 * [taylor]: Taking taylor expansion of (/ PI a) in b 6.946 * [taylor]: Taking taylor expansion of PI in b 6.946 * [backup-simplify]: Simplify PI into PI 6.946 * [taylor]: Taking taylor expansion of a in b 6.946 * [backup-simplify]: Simplify a into a 6.946 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.946 * [taylor]: Taking taylor expansion of 1/2 in b 6.946 * [backup-simplify]: Simplify 1/2 into 1/2 6.946 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.946 * [taylor]: Taking taylor expansion of PI in b 6.946 * [backup-simplify]: Simplify PI into PI 6.946 * [taylor]: Taking taylor expansion of b in b 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (/ PI 1) into PI 6.947 * [taylor]: Taking taylor expansion of (+ a b) in b 6.947 * [taylor]: Taking taylor expansion of a in b 6.947 * [backup-simplify]: Simplify a into a 6.947 * [taylor]: Taking taylor expansion of b in b 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 6.948 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 6.949 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 6.949 * [backup-simplify]: Simplify (+ a 0) into a 6.950 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) 6.950 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in a 6.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 6.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 6.950 * [taylor]: Taking taylor expansion of 1/2 in a 6.950 * [backup-simplify]: Simplify 1/2 into 1/2 6.950 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.950 * [taylor]: Taking taylor expansion of PI in a 6.950 * [backup-simplify]: Simplify PI into PI 6.950 * [taylor]: Taking taylor expansion of a in a 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [backup-simplify]: Simplify (/ PI 1) into PI 6.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 6.950 * [taylor]: Taking taylor expansion of 1/2 in a 6.950 * [backup-simplify]: Simplify 1/2 into 1/2 6.950 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.950 * [taylor]: Taking taylor expansion of PI in a 6.950 * [backup-simplify]: Simplify PI into PI 6.950 * [taylor]: Taking taylor expansion of b in a 6.950 * [backup-simplify]: Simplify b into b 6.950 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.950 * [taylor]: Taking taylor expansion of (+ a b) in a 6.950 * [taylor]: Taking taylor expansion of a in a 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of b in a 6.950 * [backup-simplify]: Simplify b into b 6.951 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 6.952 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 6.952 * [backup-simplify]: Simplify (+ 0 b) into b 6.952 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 6.952 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in a 6.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 6.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 6.952 * [taylor]: Taking taylor expansion of 1/2 in a 6.952 * [backup-simplify]: Simplify 1/2 into 1/2 6.952 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.952 * [taylor]: Taking taylor expansion of PI in a 6.952 * [backup-simplify]: Simplify PI into PI 6.952 * [taylor]: Taking taylor expansion of a in a 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (/ PI 1) into PI 6.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 6.952 * [taylor]: Taking taylor expansion of 1/2 in a 6.952 * [backup-simplify]: Simplify 1/2 into 1/2 6.952 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.952 * [taylor]: Taking taylor expansion of PI in a 6.952 * [backup-simplify]: Simplify PI into PI 6.952 * [taylor]: Taking taylor expansion of b in a 6.953 * [backup-simplify]: Simplify b into b 6.953 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.953 * [taylor]: Taking taylor expansion of (+ a b) in a 6.953 * [taylor]: Taking taylor expansion of a in a 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of b in a 6.953 * [backup-simplify]: Simplify b into b 6.953 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 6.954 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 6.954 * [backup-simplify]: Simplify (+ 0 b) into b 6.954 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 6.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.954 * [taylor]: Taking taylor expansion of 1/2 in b 6.954 * [backup-simplify]: Simplify 1/2 into 1/2 6.954 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.954 * [taylor]: Taking taylor expansion of PI in b 6.954 * [backup-simplify]: Simplify PI into PI 6.954 * [taylor]: Taking taylor expansion of b in b 6.954 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify 1 into 1 6.955 * [backup-simplify]: Simplify (/ PI 1) into PI 6.955 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 6.955 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 6.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 6.956 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 6.956 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 6.956 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 6.957 * [backup-simplify]: Simplify (+ 1 0) into 1 6.957 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) 6.957 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 6.957 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.957 * [taylor]: Taking taylor expansion of PI in b 6.957 * [backup-simplify]: Simplify PI into PI 6.957 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.957 * [taylor]: Taking taylor expansion of b in b 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (* 1 1) into 1 6.958 * [backup-simplify]: Simplify (/ PI 1) into PI 6.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.959 * [backup-simplify]: Simplify (- 0) into 0 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.961 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 6.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 6.962 * [backup-simplify]: Simplify (- 0) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 6.963 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.963 * [taylor]: Taking taylor expansion of PI in b 6.963 * [backup-simplify]: Simplify PI into PI 6.963 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.963 * [taylor]: Taking taylor expansion of b in b 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (* 1 1) into 1 6.963 * [backup-simplify]: Simplify (* 1 1) into 1 6.963 * [backup-simplify]: Simplify (/ PI 1) into PI 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.967 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.968 * [backup-simplify]: Simplify (- 0) into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.973 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 6.974 * [backup-simplify]: Simplify (- 0) into 0 6.974 * [backup-simplify]: Simplify (+ 0 0) into 0 6.975 * [backup-simplify]: Simplify (+ 0 0) into 0 6.975 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 6.975 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 6.975 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.975 * [taylor]: Taking taylor expansion of PI in b 6.975 * [backup-simplify]: Simplify PI into PI 6.975 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.975 * [taylor]: Taking taylor expansion of b in b 6.975 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.976 * [backup-simplify]: Simplify (* 1 1) into 1 6.976 * [backup-simplify]: Simplify (* 1 1) into 1 6.977 * [backup-simplify]: Simplify (/ PI 1) into PI 6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.985 * [backup-simplify]: Simplify (- 0) into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 6.987 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) 6.987 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 6.987 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in b 6.987 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 6.987 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 6.987 * [taylor]: Taking taylor expansion of 1/2 in b 6.987 * [backup-simplify]: Simplify 1/2 into 1/2 6.987 * [taylor]: Taking taylor expansion of (* a PI) in b 6.987 * [taylor]: Taking taylor expansion of a in b 6.987 * [backup-simplify]: Simplify a into a 6.987 * [taylor]: Taking taylor expansion of PI in b 6.988 * [backup-simplify]: Simplify PI into PI 6.988 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 6.988 * [taylor]: Taking taylor expansion of 1/2 in b 6.988 * [backup-simplify]: Simplify 1/2 into 1/2 6.988 * [taylor]: Taking taylor expansion of (* b PI) in b 6.988 * [taylor]: Taking taylor expansion of b in b 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of PI in b 6.988 * [backup-simplify]: Simplify PI into PI 6.988 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.988 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.988 * [taylor]: Taking taylor expansion of a in b 6.988 * [backup-simplify]: Simplify a into a 6.988 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.988 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.988 * [taylor]: Taking taylor expansion of b in b 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [backup-simplify]: Simplify (/ 1 1) into 1 6.988 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.989 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 6.989 * [backup-simplify]: Simplify (* 0 PI) into 0 6.989 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.990 * [backup-simplify]: Simplify (- 0) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 6.990 * [backup-simplify]: Simplify (+ 0 1) into 1 6.990 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 6.990 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in a 6.991 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 6.991 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 6.991 * [taylor]: Taking taylor expansion of 1/2 in a 6.991 * [backup-simplify]: Simplify 1/2 into 1/2 6.991 * [taylor]: Taking taylor expansion of (* a PI) in a 6.991 * [taylor]: Taking taylor expansion of a in a 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [taylor]: Taking taylor expansion of PI in a 6.991 * [backup-simplify]: Simplify PI into PI 6.991 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 6.991 * [taylor]: Taking taylor expansion of 1/2 in a 6.991 * [backup-simplify]: Simplify 1/2 into 1/2 6.991 * [taylor]: Taking taylor expansion of (* b PI) in a 6.991 * [taylor]: Taking taylor expansion of b in a 6.991 * [backup-simplify]: Simplify b into b 6.991 * [taylor]: Taking taylor expansion of PI in a 6.991 * [backup-simplify]: Simplify PI into PI 6.991 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.991 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.991 * [taylor]: Taking taylor expansion of a in a 6.991 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify 1 into 1 6.991 * [backup-simplify]: Simplify (/ 1 1) into 1 6.991 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.992 * [taylor]: Taking taylor expansion of b in a 6.992 * [backup-simplify]: Simplify b into b 6.992 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.992 * [backup-simplify]: Simplify (* 0 PI) into 0 6.993 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.993 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.993 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 6.993 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 6.993 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 6.994 * [backup-simplify]: Simplify (+ 1 0) into 1 6.994 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 6.994 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in a 6.994 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 6.994 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 6.994 * [taylor]: Taking taylor expansion of 1/2 in a 6.994 * [backup-simplify]: Simplify 1/2 into 1/2 6.994 * [taylor]: Taking taylor expansion of (* a PI) in a 6.994 * [taylor]: Taking taylor expansion of a in a 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.994 * [taylor]: Taking taylor expansion of PI in a 6.994 * [backup-simplify]: Simplify PI into PI 6.994 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 6.994 * [taylor]: Taking taylor expansion of 1/2 in a 6.994 * [backup-simplify]: Simplify 1/2 into 1/2 6.994 * [taylor]: Taking taylor expansion of (* b PI) in a 6.994 * [taylor]: Taking taylor expansion of b in a 6.994 * [backup-simplify]: Simplify b into b 6.994 * [taylor]: Taking taylor expansion of PI in a 6.994 * [backup-simplify]: Simplify PI into PI 6.994 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.994 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.994 * [taylor]: Taking taylor expansion of a in a 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 1 into 1 6.995 * [backup-simplify]: Simplify (/ 1 1) into 1 6.995 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.995 * [taylor]: Taking taylor expansion of b in a 6.995 * [backup-simplify]: Simplify b into b 6.995 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.995 * [backup-simplify]: Simplify (* 0 PI) into 0 6.996 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.996 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.996 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 6.996 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 6.996 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 6.996 * [backup-simplify]: Simplify (+ 1 0) into 1 6.997 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 6.997 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 6.997 * [taylor]: Taking taylor expansion of -1/2 in b 6.997 * [backup-simplify]: Simplify -1/2 into -1/2 6.997 * [taylor]: Taking taylor expansion of (* b PI) in b 6.997 * [taylor]: Taking taylor expansion of b in b 6.997 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify 1 into 1 6.997 * [taylor]: Taking taylor expansion of PI in b 6.997 * [backup-simplify]: Simplify PI into PI 6.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.998 * [backup-simplify]: Simplify (* 0 PI) into 0 6.999 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.000 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.002 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.002 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.003 * [backup-simplify]: Simplify (- 0) into 0 7.003 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.004 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.005 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* b PI)) (/ (/ 1 b) 1)))) into PI 7.005 * [taylor]: Taking taylor expansion of PI in b 7.005 * [backup-simplify]: Simplify PI into PI 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.006 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.008 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.008 * [backup-simplify]: Simplify (- 0) into 0 7.009 * [backup-simplify]: Simplify (+ 0 0) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.010 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 7.010 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 7.010 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.010 * [taylor]: Taking taylor expansion of PI in b 7.010 * [backup-simplify]: Simplify PI into PI 7.010 * [taylor]: Taking taylor expansion of b in b 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (/ PI 1) into PI 7.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (- 0) into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.013 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.013 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.015 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 7.016 * [backup-simplify]: Simplify (- 0) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 7.018 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 7.019 * [taylor]: Taking taylor expansion of PI in b 7.019 * [backup-simplify]: Simplify PI into PI 7.019 * [taylor]: Taking taylor expansion of (pow b 2) in b 7.019 * [taylor]: Taking taylor expansion of b in b 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (* 1 1) into 1 7.019 * [backup-simplify]: Simplify (/ PI 1) into PI 7.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 7.026 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) 7.026 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 7.026 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in b 7.026 * [taylor]: Taking taylor expansion of -1 in b 7.026 * [backup-simplify]: Simplify -1 into -1 7.026 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in b 7.026 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 7.026 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.026 * [taylor]: Taking taylor expansion of 1/2 in b 7.026 * [backup-simplify]: Simplify 1/2 into 1/2 7.026 * [taylor]: Taking taylor expansion of (* b PI) in b 7.026 * [taylor]: Taking taylor expansion of b in b 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [taylor]: Taking taylor expansion of PI in b 7.026 * [backup-simplify]: Simplify PI into PI 7.026 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.026 * [taylor]: Taking taylor expansion of 1/2 in b 7.026 * [backup-simplify]: Simplify 1/2 into 1/2 7.026 * [taylor]: Taking taylor expansion of (* a PI) in b 7.026 * [taylor]: Taking taylor expansion of a in b 7.026 * [backup-simplify]: Simplify a into a 7.026 * [taylor]: Taking taylor expansion of PI in b 7.026 * [backup-simplify]: Simplify PI into PI 7.026 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.026 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.026 * [taylor]: Taking taylor expansion of a in b 7.026 * [backup-simplify]: Simplify a into a 7.026 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.026 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.026 * [taylor]: Taking taylor expansion of b in b 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (/ 1 1) into 1 7.027 * [backup-simplify]: Simplify (* 0 PI) into 0 7.028 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.028 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.028 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.028 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 7.028 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 7.029 * [backup-simplify]: Simplify (+ 0 1) into 1 7.029 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 7.029 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in a 7.029 * [taylor]: Taking taylor expansion of -1 in a 7.029 * [backup-simplify]: Simplify -1 into -1 7.029 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in a 7.029 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.029 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.029 * [taylor]: Taking taylor expansion of 1/2 in a 7.029 * [backup-simplify]: Simplify 1/2 into 1/2 7.029 * [taylor]: Taking taylor expansion of (* b PI) in a 7.029 * [taylor]: Taking taylor expansion of b in a 7.029 * [backup-simplify]: Simplify b into b 7.029 * [taylor]: Taking taylor expansion of PI in a 7.029 * [backup-simplify]: Simplify PI into PI 7.029 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.029 * [taylor]: Taking taylor expansion of 1/2 in a 7.029 * [backup-simplify]: Simplify 1/2 into 1/2 7.029 * [taylor]: Taking taylor expansion of (* a PI) in a 7.029 * [taylor]: Taking taylor expansion of a in a 7.029 * [backup-simplify]: Simplify 0 into 0 7.029 * [backup-simplify]: Simplify 1 into 1 7.029 * [taylor]: Taking taylor expansion of PI in a 7.030 * [backup-simplify]: Simplify PI into PI 7.030 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.030 * [taylor]: Taking taylor expansion of a in a 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (/ 1 1) into 1 7.030 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.030 * [taylor]: Taking taylor expansion of b in a 7.030 * [backup-simplify]: Simplify b into b 7.030 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.030 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.030 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.031 * [backup-simplify]: Simplify (* 0 PI) into 0 7.031 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.032 * [backup-simplify]: Simplify (+ 1 0) into 1 7.032 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.032 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in a 7.032 * [taylor]: Taking taylor expansion of -1 in a 7.032 * [backup-simplify]: Simplify -1 into -1 7.032 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in a 7.032 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.032 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.032 * [taylor]: Taking taylor expansion of 1/2 in a 7.032 * [backup-simplify]: Simplify 1/2 into 1/2 7.032 * [taylor]: Taking taylor expansion of (* b PI) in a 7.032 * [taylor]: Taking taylor expansion of b in a 7.032 * [backup-simplify]: Simplify b into b 7.033 * [taylor]: Taking taylor expansion of PI in a 7.033 * [backup-simplify]: Simplify PI into PI 7.033 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.033 * [taylor]: Taking taylor expansion of 1/2 in a 7.033 * [backup-simplify]: Simplify 1/2 into 1/2 7.033 * [taylor]: Taking taylor expansion of (* a PI) in a 7.033 * [taylor]: Taking taylor expansion of a in a 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [taylor]: Taking taylor expansion of PI in a 7.033 * [backup-simplify]: Simplify PI into PI 7.033 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.033 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.033 * [taylor]: Taking taylor expansion of a in a 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (/ 1 1) into 1 7.033 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.033 * [taylor]: Taking taylor expansion of b in a 7.033 * [backup-simplify]: Simplify b into b 7.033 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.033 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.034 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.034 * [backup-simplify]: Simplify (* 0 PI) into 0 7.034 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.035 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.035 * [backup-simplify]: Simplify (+ 1 0) into 1 7.035 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.036 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 7.036 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 7.036 * [taylor]: Taking taylor expansion of -1/2 in b 7.036 * [backup-simplify]: Simplify -1/2 into -1/2 7.036 * [taylor]: Taking taylor expansion of (* PI b) in b 7.036 * [taylor]: Taking taylor expansion of PI in b 7.036 * [backup-simplify]: Simplify PI into PI 7.036 * [taylor]: Taking taylor expansion of b in b 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 1 into 1 7.038 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 7.038 * [backup-simplify]: Simplify (* PI 0) into 0 7.040 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.041 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.041 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.044 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.048 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.050 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.050 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.051 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) 1)))) into (- PI) 7.052 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* 1/2 (* b PI)))) into PI 7.052 * [taylor]: Taking taylor expansion of PI in b 7.052 * [backup-simplify]: Simplify PI into PI 7.052 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 7.054 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.056 * [backup-simplify]: Simplify (- 0) into 0 7.056 * [backup-simplify]: Simplify (+ 0 0) into 0 7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.057 * [backup-simplify]: Simplify (+ 0 0) into 0 7.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 7.059 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI))))) into (- (/ PI b)) 7.059 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 7.059 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.059 * [taylor]: Taking taylor expansion of PI in b 7.059 * [backup-simplify]: Simplify PI into PI 7.059 * [taylor]: Taking taylor expansion of b in b 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (/ PI 1) into PI 7.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify (- 0) into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.062 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.062 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.065 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI b) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 2))) 7.068 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI (pow b 2)))) (+ (* 0 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI)))))) into (/ PI (pow b 2)) 7.068 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 7.068 * [taylor]: Taking taylor expansion of PI in b 7.068 * [backup-simplify]: Simplify PI into PI 7.068 * [taylor]: Taking taylor expansion of (pow b 2) in b 7.068 * [taylor]: Taking taylor expansion of b in b 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 1 into 1 7.068 * [backup-simplify]: Simplify (* 1 1) into 1 7.069 * [backup-simplify]: Simplify (/ PI 1) into PI 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 7.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.074 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 7.074 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 7.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.074 * [taylor]: Taking taylor expansion of 1/2 in a 7.074 * [backup-simplify]: Simplify 1/2 into 1/2 7.074 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.074 * [taylor]: Taking taylor expansion of PI in a 7.074 * [backup-simplify]: Simplify PI into PI 7.074 * [taylor]: Taking taylor expansion of a in a 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.074 * [backup-simplify]: Simplify (/ PI 1) into PI 7.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.074 * [taylor]: Taking taylor expansion of 1/2 in a 7.074 * [backup-simplify]: Simplify 1/2 into 1/2 7.074 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.074 * [taylor]: Taking taylor expansion of PI in a 7.074 * [backup-simplify]: Simplify PI into PI 7.074 * [taylor]: Taking taylor expansion of a in a 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify 1 into 1 7.075 * [backup-simplify]: Simplify (/ PI 1) into PI 7.075 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.075 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.086 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.087 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 7.088 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 7.088 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 7.088 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.088 * [taylor]: Taking taylor expansion of 1/2 in a 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of (* a PI) in a 7.088 * [taylor]: Taking taylor expansion of a in a 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [taylor]: Taking taylor expansion of PI in a 7.088 * [backup-simplify]: Simplify PI into PI 7.088 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.088 * [taylor]: Taking taylor expansion of 1/2 in a 7.088 * [backup-simplify]: Simplify 1/2 into 1/2 7.088 * [taylor]: Taking taylor expansion of (* a PI) in a 7.088 * [taylor]: Taking taylor expansion of a in a 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [taylor]: Taking taylor expansion of PI in a 7.089 * [backup-simplify]: Simplify PI into PI 7.089 * [backup-simplify]: Simplify (* 0 PI) into 0 7.089 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.091 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.091 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.093 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.096 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.098 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.103 * [backup-simplify]: Simplify 0 into 0 7.103 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 7.103 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 7.103 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 7.103 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 7.103 * [taylor]: Taking taylor expansion of -1/2 in a 7.103 * [backup-simplify]: Simplify -1/2 into -1/2 7.103 * [taylor]: Taking taylor expansion of (* a PI) in a 7.103 * [taylor]: Taking taylor expansion of a in a 7.103 * [backup-simplify]: Simplify 0 into 0 7.103 * [backup-simplify]: Simplify 1 into 1 7.103 * [taylor]: Taking taylor expansion of PI in a 7.103 * [backup-simplify]: Simplify PI into PI 7.103 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 7.103 * [taylor]: Taking taylor expansion of -1/2 in a 7.104 * [backup-simplify]: Simplify -1/2 into -1/2 7.104 * [taylor]: Taking taylor expansion of (* a PI) in a 7.104 * [taylor]: Taking taylor expansion of a in a 7.104 * [backup-simplify]: Simplify 0 into 0 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [taylor]: Taking taylor expansion of PI in a 7.104 * [backup-simplify]: Simplify PI into PI 7.104 * [backup-simplify]: Simplify (* 0 PI) into 0 7.104 * [backup-simplify]: Simplify (* -1/2 0) into 0 7.104 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.106 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.107 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.108 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.110 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.111 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.111 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.113 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.115 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.117 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.117 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 7.118 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 7.118 * [backup-simplify]: Simplify (/ (/ PI 2) b) into (* 1/2 (/ PI b)) 7.118 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 7.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.118 * [taylor]: Taking taylor expansion of 1/2 in b 7.118 * [backup-simplify]: Simplify 1/2 into 1/2 7.118 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.119 * [taylor]: Taking taylor expansion of PI in b 7.119 * [backup-simplify]: Simplify PI into PI 7.119 * [taylor]: Taking taylor expansion of b in b 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ PI 1) into PI 7.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.119 * [taylor]: Taking taylor expansion of 1/2 in b 7.119 * [backup-simplify]: Simplify 1/2 into 1/2 7.119 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.119 * [taylor]: Taking taylor expansion of PI in b 7.119 * [backup-simplify]: Simplify PI into PI 7.119 * [taylor]: Taking taylor expansion of b in b 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ PI 1) into PI 7.120 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.120 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.125 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 7.129 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 b)) into (* 1/2 (* b PI)) 7.129 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 7.129 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.129 * [taylor]: Taking taylor expansion of 1/2 in b 7.129 * [backup-simplify]: Simplify 1/2 into 1/2 7.129 * [taylor]: Taking taylor expansion of (* b PI) in b 7.129 * [taylor]: Taking taylor expansion of b in b 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [taylor]: Taking taylor expansion of PI in b 7.129 * [backup-simplify]: Simplify PI into PI 7.129 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.129 * [taylor]: Taking taylor expansion of 1/2 in b 7.129 * [backup-simplify]: Simplify 1/2 into 1/2 7.129 * [taylor]: Taking taylor expansion of (* b PI) in b 7.129 * [taylor]: Taking taylor expansion of b in b 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [taylor]: Taking taylor expansion of PI in b 7.129 * [backup-simplify]: Simplify PI into PI 7.130 * [backup-simplify]: Simplify (* 0 PI) into 0 7.130 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.130 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.132 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.132 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.137 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.142 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 7.146 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- b))) into (* -1/2 (* b PI)) 7.146 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 7.146 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 7.146 * [taylor]: Taking taylor expansion of -1/2 in b 7.146 * [backup-simplify]: Simplify -1/2 into -1/2 7.146 * [taylor]: Taking taylor expansion of (* b PI) in b 7.146 * [taylor]: Taking taylor expansion of b in b 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [taylor]: Taking taylor expansion of PI in b 7.146 * [backup-simplify]: Simplify PI into PI 7.146 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 7.146 * [taylor]: Taking taylor expansion of -1/2 in b 7.146 * [backup-simplify]: Simplify -1/2 into -1/2 7.146 * [taylor]: Taking taylor expansion of (* b PI) in b 7.146 * [taylor]: Taking taylor expansion of b in b 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [taylor]: Taking taylor expansion of PI in b 7.146 * [backup-simplify]: Simplify PI into PI 7.146 * [backup-simplify]: Simplify (* 0 PI) into 0 7.147 * [backup-simplify]: Simplify (* -1/2 0) into 0 7.147 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.149 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.149 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.150 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.152 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.152 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.153 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.154 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.155 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.155 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.157 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.157 * [backup-simplify]: Simplify 0 into 0 7.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.161 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.161 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 7.163 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.164 * [backup-simplify]: Simplify (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) 7.164 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in (a b) around 0 7.164 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in b 7.164 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 7.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 7.164 * [taylor]: Taking taylor expansion of 1/2 in b 7.164 * [backup-simplify]: Simplify 1/2 into 1/2 7.164 * [taylor]: Taking taylor expansion of (/ PI a) in b 7.164 * [taylor]: Taking taylor expansion of PI in b 7.164 * [backup-simplify]: Simplify PI into PI 7.164 * [taylor]: Taking taylor expansion of a in b 7.164 * [backup-simplify]: Simplify a into a 7.165 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 7.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.165 * [taylor]: Taking taylor expansion of 1/2 in b 7.165 * [backup-simplify]: Simplify 1/2 into 1/2 7.165 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.165 * [taylor]: Taking taylor expansion of PI in b 7.165 * [backup-simplify]: Simplify PI into PI 7.165 * [taylor]: Taking taylor expansion of b in b 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [backup-simplify]: Simplify (/ PI 1) into PI 7.165 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.165 * [taylor]: Taking taylor expansion of (- b a) in b 7.165 * [taylor]: Taking taylor expansion of b in b 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 1 into 1 7.165 * [taylor]: Taking taylor expansion of a in b 7.165 * [backup-simplify]: Simplify a into a 7.166 * [taylor]: Taking taylor expansion of (+ a b) in b 7.166 * [taylor]: Taking taylor expansion of a in b 7.166 * [backup-simplify]: Simplify a into a 7.166 * [taylor]: Taking taylor expansion of b in b 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.167 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.169 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.169 * [backup-simplify]: Simplify (- a) into (- a) 7.169 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.169 * [backup-simplify]: Simplify (+ a 0) into a 7.169 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.171 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 7.171 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 7.171 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.171 * [taylor]: Taking taylor expansion of 1/2 in a 7.171 * [backup-simplify]: Simplify 1/2 into 1/2 7.171 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.171 * [taylor]: Taking taylor expansion of PI in a 7.171 * [backup-simplify]: Simplify PI into PI 7.171 * [taylor]: Taking taylor expansion of a in a 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.171 * [backup-simplify]: Simplify (/ PI 1) into PI 7.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.171 * [taylor]: Taking taylor expansion of 1/2 in a 7.172 * [backup-simplify]: Simplify 1/2 into 1/2 7.172 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.172 * [taylor]: Taking taylor expansion of PI in a 7.172 * [backup-simplify]: Simplify PI into PI 7.172 * [taylor]: Taking taylor expansion of b in a 7.172 * [backup-simplify]: Simplify b into b 7.172 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.172 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.172 * [taylor]: Taking taylor expansion of (- b a) in a 7.172 * [taylor]: Taking taylor expansion of b in a 7.172 * [backup-simplify]: Simplify b into b 7.172 * [taylor]: Taking taylor expansion of a in a 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [taylor]: Taking taylor expansion of (+ a b) in a 7.172 * [taylor]: Taking taylor expansion of a in a 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.172 * [taylor]: Taking taylor expansion of b in a 7.172 * [backup-simplify]: Simplify b into b 7.173 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.174 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.174 * [backup-simplify]: Simplify (- 0) into 0 7.174 * [backup-simplify]: Simplify (+ b 0) into b 7.174 * [backup-simplify]: Simplify (+ 0 b) into b 7.174 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.175 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 7.175 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 7.175 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.175 * [taylor]: Taking taylor expansion of 1/2 in a 7.175 * [backup-simplify]: Simplify 1/2 into 1/2 7.175 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.175 * [taylor]: Taking taylor expansion of PI in a 7.175 * [backup-simplify]: Simplify PI into PI 7.175 * [taylor]: Taking taylor expansion of a in a 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 1 into 1 7.176 * [backup-simplify]: Simplify (/ PI 1) into PI 7.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.176 * [taylor]: Taking taylor expansion of 1/2 in a 7.176 * [backup-simplify]: Simplify 1/2 into 1/2 7.176 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.176 * [taylor]: Taking taylor expansion of PI in a 7.176 * [backup-simplify]: Simplify PI into PI 7.176 * [taylor]: Taking taylor expansion of b in a 7.176 * [backup-simplify]: Simplify b into b 7.176 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.176 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.176 * [taylor]: Taking taylor expansion of (- b a) in a 7.176 * [taylor]: Taking taylor expansion of b in a 7.176 * [backup-simplify]: Simplify b into b 7.176 * [taylor]: Taking taylor expansion of a in a 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [taylor]: Taking taylor expansion of (+ a b) in a 7.176 * [taylor]: Taking taylor expansion of a in a 7.176 * [backup-simplify]: Simplify 0 into 0 7.176 * [backup-simplify]: Simplify 1 into 1 7.176 * [taylor]: Taking taylor expansion of b in a 7.176 * [backup-simplify]: Simplify b into b 7.177 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.178 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.179 * [backup-simplify]: Simplify (- 0) into 0 7.179 * [backup-simplify]: Simplify (+ b 0) into b 7.179 * [backup-simplify]: Simplify (+ 0 b) into b 7.179 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.179 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 7.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 7.180 * [taylor]: Taking taylor expansion of 1/2 in b 7.180 * [backup-simplify]: Simplify 1/2 into 1/2 7.180 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 7.180 * [taylor]: Taking taylor expansion of PI in b 7.180 * [backup-simplify]: Simplify PI into PI 7.180 * [taylor]: Taking taylor expansion of (pow b 2) in b 7.180 * [taylor]: Taking taylor expansion of b in b 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify 1 into 1 7.180 * [backup-simplify]: Simplify (* 1 1) into 1 7.181 * [backup-simplify]: Simplify (/ PI 1) into PI 7.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.185 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 7.185 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 7.185 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 7.186 * [backup-simplify]: Simplify (+ 1 0) into 1 7.186 * [backup-simplify]: Simplify (- 1) into -1 7.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.187 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 7.187 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 7.187 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 7.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 7.187 * [taylor]: Taking taylor expansion of 1/2 in b 7.187 * [backup-simplify]: Simplify 1/2 into 1/2 7.187 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 7.187 * [taylor]: Taking taylor expansion of PI in b 7.187 * [backup-simplify]: Simplify PI into PI 7.188 * [taylor]: Taking taylor expansion of (pow b 3) in b 7.188 * [taylor]: Taking taylor expansion of b in b 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 1 into 1 7.188 * [backup-simplify]: Simplify (* 1 1) into 1 7.188 * [backup-simplify]: Simplify (* 1 1) into 1 7.189 * [backup-simplify]: Simplify (/ PI 1) into PI 7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.196 * [backup-simplify]: Simplify (- 0) into 0 7.196 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.199 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.202 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 7.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 7.203 * [backup-simplify]: Simplify (- 0) into 0 7.203 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (+ 0 0) into 0 7.204 * [backup-simplify]: Simplify (- 0) into 0 7.204 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 7.206 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 7.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 7.206 * [taylor]: Taking taylor expansion of 1/2 in b 7.206 * [backup-simplify]: Simplify 1/2 into 1/2 7.206 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 7.206 * [taylor]: Taking taylor expansion of PI in b 7.206 * [backup-simplify]: Simplify PI into PI 7.206 * [taylor]: Taking taylor expansion of (pow b 4) in b 7.206 * [taylor]: Taking taylor expansion of b in b 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (* 1 1) into 1 7.207 * [backup-simplify]: Simplify (* 1 1) into 1 7.207 * [backup-simplify]: Simplify (/ PI 1) into PI 7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.217 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.222 * [backup-simplify]: Simplify (- 0) into 0 7.222 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify (/ (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 7.227 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 7.227 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.227 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 7.227 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.227 * [taylor]: Taking taylor expansion of 1/2 in b 7.227 * [backup-simplify]: Simplify 1/2 into 1/2 7.228 * [taylor]: Taking taylor expansion of (* a PI) in b 7.228 * [taylor]: Taking taylor expansion of a in b 7.228 * [backup-simplify]: Simplify a into a 7.228 * [taylor]: Taking taylor expansion of PI in b 7.228 * [backup-simplify]: Simplify PI into PI 7.228 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.228 * [taylor]: Taking taylor expansion of 1/2 in b 7.228 * [backup-simplify]: Simplify 1/2 into 1/2 7.228 * [taylor]: Taking taylor expansion of (* b PI) in b 7.228 * [taylor]: Taking taylor expansion of b in b 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [taylor]: Taking taylor expansion of PI in b 7.228 * [backup-simplify]: Simplify PI into PI 7.228 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.228 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.228 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.228 * [taylor]: Taking taylor expansion of b in b 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (/ 1 1) into 1 7.228 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.229 * [taylor]: Taking taylor expansion of a in b 7.229 * [backup-simplify]: Simplify a into a 7.229 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.229 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.229 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.229 * [taylor]: Taking taylor expansion of a in b 7.229 * [backup-simplify]: Simplify a into a 7.229 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.229 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.229 * [taylor]: Taking taylor expansion of b in b 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ 1 1) into 1 7.229 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.229 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.230 * [backup-simplify]: Simplify (* 0 PI) into 0 7.230 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.230 * [backup-simplify]: Simplify (- 0) into 0 7.230 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 7.231 * [backup-simplify]: Simplify (+ 1 0) into 1 7.231 * [backup-simplify]: Simplify (+ 0 1) into 1 7.231 * [backup-simplify]: Simplify (* 1 1) into 1 7.231 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 7.231 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.231 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.231 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.231 * [taylor]: Taking taylor expansion of 1/2 in a 7.231 * [backup-simplify]: Simplify 1/2 into 1/2 7.231 * [taylor]: Taking taylor expansion of (* a PI) in a 7.231 * [taylor]: Taking taylor expansion of a in a 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of PI in a 7.231 * [backup-simplify]: Simplify PI into PI 7.231 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.231 * [taylor]: Taking taylor expansion of 1/2 in a 7.231 * [backup-simplify]: Simplify 1/2 into 1/2 7.231 * [taylor]: Taking taylor expansion of (* b PI) in a 7.232 * [taylor]: Taking taylor expansion of b in a 7.232 * [backup-simplify]: Simplify b into b 7.232 * [taylor]: Taking taylor expansion of PI in a 7.232 * [backup-simplify]: Simplify PI into PI 7.232 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.232 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.232 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.232 * [taylor]: Taking taylor expansion of b in a 7.232 * [backup-simplify]: Simplify b into b 7.232 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.232 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.232 * [taylor]: Taking taylor expansion of a in a 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.232 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.232 * [taylor]: Taking taylor expansion of a in a 7.232 * [backup-simplify]: Simplify 0 into 0 7.232 * [backup-simplify]: Simplify 1 into 1 7.232 * [backup-simplify]: Simplify (/ 1 1) into 1 7.232 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.232 * [taylor]: Taking taylor expansion of b in a 7.232 * [backup-simplify]: Simplify b into b 7.232 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.233 * [backup-simplify]: Simplify (* 0 PI) into 0 7.233 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.233 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.233 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.233 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.233 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.233 * [backup-simplify]: Simplify (- 1) into -1 7.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.234 * [backup-simplify]: Simplify (+ 1 0) into 1 7.234 * [backup-simplify]: Simplify (* -1 1) into -1 7.234 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.234 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.234 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.234 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.234 * [taylor]: Taking taylor expansion of 1/2 in a 7.234 * [backup-simplify]: Simplify 1/2 into 1/2 7.234 * [taylor]: Taking taylor expansion of (* a PI) in a 7.234 * [taylor]: Taking taylor expansion of a in a 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [taylor]: Taking taylor expansion of PI in a 7.234 * [backup-simplify]: Simplify PI into PI 7.234 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.235 * [taylor]: Taking taylor expansion of 1/2 in a 7.235 * [backup-simplify]: Simplify 1/2 into 1/2 7.235 * [taylor]: Taking taylor expansion of (* b PI) in a 7.235 * [taylor]: Taking taylor expansion of b in a 7.235 * [backup-simplify]: Simplify b into b 7.235 * [taylor]: Taking taylor expansion of PI in a 7.235 * [backup-simplify]: Simplify PI into PI 7.235 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.235 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.235 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.235 * [taylor]: Taking taylor expansion of b in a 7.235 * [backup-simplify]: Simplify b into b 7.235 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.235 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.235 * [taylor]: Taking taylor expansion of a in a 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.235 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.235 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.235 * [taylor]: Taking taylor expansion of a in a 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [backup-simplify]: Simplify (/ 1 1) into 1 7.235 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.235 * [taylor]: Taking taylor expansion of b in a 7.235 * [backup-simplify]: Simplify b into b 7.235 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.236 * [backup-simplify]: Simplify (* 0 PI) into 0 7.236 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.236 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.236 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.236 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.236 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.236 * [backup-simplify]: Simplify (- 1) into -1 7.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.237 * [backup-simplify]: Simplify (+ 1 0) into 1 7.237 * [backup-simplify]: Simplify (* -1 1) into -1 7.237 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.237 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.237 * [taylor]: Taking taylor expansion of 1/2 in b 7.237 * [backup-simplify]: Simplify 1/2 into 1/2 7.237 * [taylor]: Taking taylor expansion of (* b PI) in b 7.237 * [taylor]: Taking taylor expansion of b in b 7.237 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify 1 into 1 7.238 * [taylor]: Taking taylor expansion of PI in b 7.238 * [backup-simplify]: Simplify PI into PI 7.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.239 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.239 * [backup-simplify]: Simplify (* 0 PI) into 0 7.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.240 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.242 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.242 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.243 * [backup-simplify]: Simplify (- 0) into 0 7.243 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.245 * [backup-simplify]: Simplify (- 0) into 0 7.245 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 7.245 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 7.246 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 7.246 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 7.246 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 7.246 * [taylor]: Taking taylor expansion of 1/2 in b 7.246 * [backup-simplify]: Simplify 1/2 into 1/2 7.246 * [taylor]: Taking taylor expansion of PI in b 7.246 * [backup-simplify]: Simplify PI into PI 7.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.247 * [backup-simplify]: Simplify (- 0) into 0 7.247 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.248 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.250 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.251 * [backup-simplify]: Simplify (- 0) into 0 7.251 * [backup-simplify]: Simplify (+ 0 0) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.252 * [backup-simplify]: Simplify (+ 0 0) into 0 7.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.253 * [backup-simplify]: Simplify (- 0) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 7.255 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 7.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.255 * [taylor]: Taking taylor expansion of 1/2 in b 7.255 * [backup-simplify]: Simplify 1/2 into 1/2 7.255 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.255 * [taylor]: Taking taylor expansion of PI in b 7.255 * [backup-simplify]: Simplify PI into PI 7.255 * [taylor]: Taking taylor expansion of b in b 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 1 into 1 7.256 * [backup-simplify]: Simplify (/ PI 1) into PI 7.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (/ (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 7.264 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 7.264 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.264 * [taylor]: Taking taylor expansion of -1 in b 7.264 * [backup-simplify]: Simplify -1 into -1 7.264 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.264 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 7.264 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.264 * [taylor]: Taking taylor expansion of 1/2 in b 7.264 * [backup-simplify]: Simplify 1/2 into 1/2 7.264 * [taylor]: Taking taylor expansion of (* b PI) in b 7.264 * [taylor]: Taking taylor expansion of b in b 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [taylor]: Taking taylor expansion of PI in b 7.264 * [backup-simplify]: Simplify PI into PI 7.264 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.264 * [taylor]: Taking taylor expansion of 1/2 in b 7.264 * [backup-simplify]: Simplify 1/2 into 1/2 7.264 * [taylor]: Taking taylor expansion of (* a PI) in b 7.264 * [taylor]: Taking taylor expansion of a in b 7.264 * [backup-simplify]: Simplify a into a 7.264 * [taylor]: Taking taylor expansion of PI in b 7.264 * [backup-simplify]: Simplify PI into PI 7.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.264 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.264 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.264 * [taylor]: Taking taylor expansion of a in b 7.264 * [backup-simplify]: Simplify a into a 7.264 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.264 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.264 * [taylor]: Taking taylor expansion of b in b 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.264 * [backup-simplify]: Simplify (/ 1 1) into 1 7.264 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.264 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.264 * [taylor]: Taking taylor expansion of a in b 7.264 * [backup-simplify]: Simplify a into a 7.264 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.264 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.264 * [taylor]: Taking taylor expansion of b in b 7.264 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (/ 1 1) into 1 7.265 * [backup-simplify]: Simplify (* 0 PI) into 0 7.265 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.265 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.265 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.266 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 7.266 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 7.266 * [backup-simplify]: Simplify (+ 0 1) into 1 7.266 * [backup-simplify]: Simplify (- 1) into -1 7.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.267 * [backup-simplify]: Simplify (* 1 -1) into -1 7.267 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 7.267 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.267 * [taylor]: Taking taylor expansion of -1 in a 7.267 * [backup-simplify]: Simplify -1 into -1 7.267 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.267 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.267 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.267 * [taylor]: Taking taylor expansion of 1/2 in a 7.267 * [backup-simplify]: Simplify 1/2 into 1/2 7.267 * [taylor]: Taking taylor expansion of (* b PI) in a 7.267 * [taylor]: Taking taylor expansion of b in a 7.267 * [backup-simplify]: Simplify b into b 7.267 * [taylor]: Taking taylor expansion of PI in a 7.267 * [backup-simplify]: Simplify PI into PI 7.267 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.267 * [taylor]: Taking taylor expansion of 1/2 in a 7.267 * [backup-simplify]: Simplify 1/2 into 1/2 7.267 * [taylor]: Taking taylor expansion of (* a PI) in a 7.267 * [taylor]: Taking taylor expansion of a in a 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [taylor]: Taking taylor expansion of PI in a 7.267 * [backup-simplify]: Simplify PI into PI 7.267 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.267 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.267 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.267 * [taylor]: Taking taylor expansion of a in a 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ 1 1) into 1 7.267 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.267 * [taylor]: Taking taylor expansion of b in a 7.267 * [backup-simplify]: Simplify b into b 7.267 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.268 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.268 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.268 * [taylor]: Taking taylor expansion of a in a 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (/ 1 1) into 1 7.268 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.268 * [taylor]: Taking taylor expansion of b in a 7.268 * [backup-simplify]: Simplify b into b 7.268 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.268 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.268 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.268 * [backup-simplify]: Simplify (* 0 PI) into 0 7.269 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.269 * [backup-simplify]: Simplify (- 0) into 0 7.269 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.269 * [backup-simplify]: Simplify (+ 1 0) into 1 7.269 * [backup-simplify]: Simplify (+ 1 0) into 1 7.270 * [backup-simplify]: Simplify (* 1 1) into 1 7.270 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.270 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.270 * [taylor]: Taking taylor expansion of -1 in a 7.270 * [backup-simplify]: Simplify -1 into -1 7.270 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.270 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.270 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.270 * [taylor]: Taking taylor expansion of 1/2 in a 7.270 * [backup-simplify]: Simplify 1/2 into 1/2 7.270 * [taylor]: Taking taylor expansion of (* b PI) in a 7.270 * [taylor]: Taking taylor expansion of b in a 7.270 * [backup-simplify]: Simplify b into b 7.270 * [taylor]: Taking taylor expansion of PI in a 7.270 * [backup-simplify]: Simplify PI into PI 7.270 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.270 * [taylor]: Taking taylor expansion of 1/2 in a 7.270 * [backup-simplify]: Simplify 1/2 into 1/2 7.270 * [taylor]: Taking taylor expansion of (* a PI) in a 7.270 * [taylor]: Taking taylor expansion of a in a 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [taylor]: Taking taylor expansion of PI in a 7.270 * [backup-simplify]: Simplify PI into PI 7.270 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.270 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.270 * [taylor]: Taking taylor expansion of a in a 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 1 into 1 7.271 * [backup-simplify]: Simplify (/ 1 1) into 1 7.271 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.271 * [taylor]: Taking taylor expansion of b in a 7.271 * [backup-simplify]: Simplify b into b 7.271 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.271 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.271 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.271 * [taylor]: Taking taylor expansion of a in a 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 1 into 1 7.271 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.272 * [taylor]: Taking taylor expansion of b in a 7.272 * [backup-simplify]: Simplify b into b 7.272 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.272 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.272 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.272 * [backup-simplify]: Simplify (* 0 PI) into 0 7.273 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.273 * [backup-simplify]: Simplify (- 0) into 0 7.273 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.274 * [backup-simplify]: Simplify (+ 1 0) into 1 7.274 * [backup-simplify]: Simplify (+ 1 0) into 1 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.274 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.275 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 7.275 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 7.275 * [taylor]: Taking taylor expansion of -1/2 in b 7.275 * [backup-simplify]: Simplify -1/2 into -1/2 7.275 * [taylor]: Taking taylor expansion of (* PI b) in b 7.275 * [taylor]: Taking taylor expansion of PI in b 7.275 * [backup-simplify]: Simplify PI into PI 7.275 * [taylor]: Taking taylor expansion of b in b 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.276 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 7.277 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 7.278 * [backup-simplify]: Simplify (* PI 0) into 0 7.279 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.283 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.284 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.286 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.287 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 7.287 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.288 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.288 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 7.290 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 7.292 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 7.292 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 7.292 * [taylor]: Taking taylor expansion of 1/2 in b 7.292 * [backup-simplify]: Simplify 1/2 into 1/2 7.292 * [taylor]: Taking taylor expansion of PI in b 7.292 * [backup-simplify]: Simplify PI into PI 7.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.296 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.299 * [backup-simplify]: Simplify (- 0) into 0 7.299 * [backup-simplify]: Simplify (+ 0 0) into 0 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.300 * [backup-simplify]: Simplify (- 0) into 0 7.300 * [backup-simplify]: Simplify (+ 0 0) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.301 * [backup-simplify]: Simplify (+ 0 0) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 7.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 7.303 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 7.303 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 7.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.303 * [taylor]: Taking taylor expansion of 1/2 in b 7.303 * [backup-simplify]: Simplify 1/2 into 1/2 7.303 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.303 * [taylor]: Taking taylor expansion of PI in b 7.303 * [backup-simplify]: Simplify PI into PI 7.303 * [taylor]: Taking taylor expansion of b in b 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify 1 into 1 7.304 * [backup-simplify]: Simplify (/ PI 1) into PI 7.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.307 * [backup-simplify]: Simplify (- 0) into 0 7.307 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.309 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.310 * * * [progress]: simplifying candidates 7.310 * * * * [progress]: [ 1 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 2 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 3 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 4 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 5 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 6 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 7 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 8 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 9 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 10 / 1020 ] simplifiying candidate # 7.310 * * * * [progress]: [ 11 / 1020 ] simplifiying candidate # 7.310 * * * * 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simplifiying candidate # 7.359 * * * * [progress]: [ 1002 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1003 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1004 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1005 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1006 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1007 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1008 / 1020 ] simplifiying candidate #real (real->posit16 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a)))))> 7.360 * * * * [progress]: [ 1009 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1010 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1011 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1012 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1013 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1014 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1015 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1016 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1017 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1018 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1019 / 1020 ] simplifiying candidate # 7.360 * * * * [progress]: [ 1020 / 1020 ] simplifiying candidate # 7.388 * [simplify]: Simplifying: (- (log (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (log (+ a b))) (log (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (exp (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (/ (* (* (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (* (* (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b))) (- (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (+ a b)) (/ (/ (/ PI 2) a) (+ a b)) (/ (/ (/ PI 2) b) (+ a b)) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ a b))) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (sqrt (+ a b))) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ a b))) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) 1) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) 1) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ 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b)))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (sqrt (+ a b)))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (cbrt (+ a b)))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (sqrt (+ a b)))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b))) (/ (- b a) (/ (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b))) (* (/ (- b a) (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b))) (cbrt (+ a b))) (* (/ (- b a) (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b))) (sqrt (+ a b))) (/ (- b a) (/ (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b)) (+ a b))) (/ (- b a) (/ (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b)) (+ a b))) (* (/ (- b a) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b))) (cbrt (+ a b))) (* (/ (- b a) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b))) (sqrt (+ a b))) (* (/ (- b a) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b))) (+ a b)) (/ (- b a) (/ (- (/ (/ (cbrt PI) (cbrt 2)) a) (/ (cbrt PI) (* b (cbrt 2)))) (cbrt (+ a b)))) (* (/ (- b a) (- (/ (/ (cbrt PI) (cbrt 2)) a) (/ (cbrt PI) (* b (cbrt 2))))) (sqrt (+ a b))) (* (/ (- b a) (- (/ (/ (cbrt PI) (cbrt 2)) a) (/ (cbrt PI) (* b (cbrt 2))))) (+ a b)) (* (/ (- b a) (- (/ (/ (cbrt PI) (cbrt 2)) a) (/ (cbrt PI) (* b (cbrt 2))))) (+ a b)) (/ (- b a) (/ (- (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (cbrt PI) (sqrt 2)) b)) (cbrt (+ a b)))) (* (/ (- b a) (- (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (cbrt PI) (sqrt 2)) b))) (sqrt (+ a b))) (/ (- b a) (/ (- (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (cbrt PI) (sqrt 2)) b)) (+ a b))) (/ (- b a) (/ (- (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (cbrt PI) (sqrt 2)) b)) (+ a b))) (* (/ (- b a) (- (/ (cbrt PI) (* a 2)) (/ (cbrt PI) (* b 2)))) (cbrt (+ a b))) (* (/ (- b a) (- (/ (cbrt PI) (* a 2)) (/ (cbrt PI) (* b 2)))) (sqrt (+ a b))) (* (/ (- b a) (- (/ (cbrt PI) (* a 2)) (/ (cbrt PI) (* b 2)))) (+ a b)) (* (/ (- b a) (- (/ (cbrt PI) (* a 2)) (/ (cbrt PI) (* b 2)))) (+ a b)) (* (/ (- b a) (- (/ (sqrt PI) (* a (cbrt 2))) (/ (/ (sqrt PI) (cbrt 2)) b))) (cbrt (+ a b))) (* (/ (- b a) (- (/ (sqrt PI) (* a (cbrt 2))) (/ (/ (sqrt PI) (cbrt 2)) b))) (sqrt (+ a b))) (* (/ (- b a) (- (/ (sqrt PI) (* a (cbrt 2))) (/ (/ (sqrt PI) (cbrt 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (sqrt PI) (* a (cbrt 2))) (/ (/ (sqrt PI) (cbrt 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) b))) (cbrt (+ a b))) (* (/ (- b a) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) b))) (sqrt (+ a b))) (* (/ (- b a) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (* b 2)))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (* b 2))) (sqrt (+ a b)))) (/ (- b a) (/ (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (* b 2))) (+ a b))) (/ (- b a) (/ (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (* b 2))) (+ a b))) (* (/ (- b a) (- (/ (/ PI (cbrt 2)) a) (/ (/ PI (cbrt 2)) b))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (/ PI (cbrt 2)) a) (/ (/ PI (cbrt 2)) b)) (sqrt (+ a b)))) (* (/ (- b a) (- (/ (/ PI (cbrt 2)) a) (/ (/ PI (cbrt 2)) b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI (cbrt 2)) a) (/ (/ PI (cbrt 2)) b))) (+ a b)) (/ (- b a) (/ (- (/ (/ PI (sqrt 2)) a) (/ (/ PI (sqrt 2)) b)) (cbrt (+ a b)))) (/ (- b a) (/ (- (/ (/ PI (sqrt 2)) a) (/ (/ PI (sqrt 2)) b)) (sqrt (+ a b)))) (/ (- b a) (/ (- (/ (/ PI (sqrt 2)) a) (/ (/ PI (sqrt 2)) b)) (+ a b))) (/ (- b a) (/ (- (/ (/ PI (sqrt 2)) a) (/ (/ PI (sqrt 2)) b)) (+ a b))) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (+ a b)))) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (+ a b)))) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (- b a) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (+ a b)))) (/ (- b a) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (+ a b)))) (/ (- b a) (/ (- (/ 1/2 a) (/ 1/2 b)) (+ a b))) (/ (- b a) (/ (- (/ 1/2 a) (/ 1/2 b)) (+ a b))) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ a b))) (/ (- b a) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (+ a b)))) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ a b)))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (sqrt (+ a b))) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (+ a b)) (* (/ (- b a) (- (/ 1 a) (/ 1 b))) (+ a b)) (* (/ (- b a) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (- b a) (/ 1 (+ a b))) (/ (- b a) (+ (* a a) (* b (- b a)))) (/ (- b a) (- a b)) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- (* b (* b b)) (* (* a a) a))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (* (- b a) (+ a b)) (+ a b))) (* (- b a) (+ a b)) (real->posit16 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- b a))) (* (/ (/ PI a) b) 1/2) (/ (* -1/2 PI) (* a b)) (/ (* -1/2 PI) (* a b)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* (/ PI b) 1/2) (* (/ PI b) 1/2) (* (/ PI b) 1/2) 0 0 0 8.683 * * * [progress]: adding candidates to table 16.605 * * [progress]: iteration 3 / 4 16.605 * * * [progress]: picking best candidate 16.639 * * * * [pick]: Picked # 16.639 * * * [progress]: localizing error 16.662 * * * [progress]: generating rewritten candidates 16.663 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 16.680 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 16.691 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 16.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 16.866 * * * [progress]: generating series expansions 16.866 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 16.867 * [backup-simplify]: Simplify (/ 1 (/ a (/ PI 2))) into (* 1/2 (/ PI a)) 16.867 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 16.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 16.867 * [taylor]: Taking taylor expansion of 1/2 in a 16.867 * [backup-simplify]: Simplify 1/2 into 1/2 16.867 * [taylor]: Taking taylor expansion of (/ PI a) in a 16.867 * [taylor]: Taking taylor expansion of PI in a 16.867 * [backup-simplify]: Simplify PI into PI 16.867 * [taylor]: Taking taylor expansion of a in a 16.867 * [backup-simplify]: Simplify 0 into 0 16.867 * [backup-simplify]: Simplify 1 into 1 16.868 * [backup-simplify]: Simplify (/ PI 1) into PI 16.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 16.868 * [taylor]: Taking taylor expansion of 1/2 in a 16.868 * [backup-simplify]: Simplify 1/2 into 1/2 16.868 * [taylor]: Taking taylor expansion of (/ PI a) in a 16.868 * [taylor]: Taking taylor expansion of PI in a 16.868 * [backup-simplify]: Simplify PI into PI 16.868 * [taylor]: Taking taylor expansion of a in a 16.868 * [backup-simplify]: Simplify 0 into 0 16.868 * [backup-simplify]: Simplify 1 into 1 16.869 * [backup-simplify]: Simplify (/ PI 1) into PI 16.869 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 16.870 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 16.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 16.872 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 16.874 * [backup-simplify]: Simplify 0 into 0 16.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.877 * [backup-simplify]: Simplify 0 into 0 16.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.880 * [backup-simplify]: Simplify 0 into 0 16.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.883 * [backup-simplify]: Simplify 0 into 0 16.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.886 * [backup-simplify]: Simplify 0 into 0 16.887 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 16.887 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 a) (/ PI 2))) into (* 1/2 (* a PI)) 16.887 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 16.887 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 16.887 * [taylor]: Taking taylor expansion of 1/2 in a 16.887 * [backup-simplify]: Simplify 1/2 into 1/2 16.888 * [taylor]: Taking taylor expansion of (* a PI) in a 16.888 * [taylor]: Taking taylor expansion of a in a 16.888 * [backup-simplify]: Simplify 0 into 0 16.888 * [backup-simplify]: Simplify 1 into 1 16.888 * [taylor]: Taking taylor expansion of PI in a 16.888 * [backup-simplify]: Simplify PI into PI 16.888 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 16.888 * [taylor]: Taking taylor expansion of 1/2 in a 16.888 * [backup-simplify]: Simplify 1/2 into 1/2 16.888 * [taylor]: Taking taylor expansion of (* a PI) in a 16.888 * [taylor]: Taking taylor expansion of a in a 16.888 * [backup-simplify]: Simplify 0 into 0 16.888 * [backup-simplify]: Simplify 1 into 1 16.888 * [taylor]: Taking taylor expansion of PI in a 16.888 * [backup-simplify]: Simplify PI into PI 16.888 * [backup-simplify]: Simplify (* 0 PI) into 0 16.889 * [backup-simplify]: Simplify (* 1/2 0) into 0 16.889 * [backup-simplify]: Simplify 0 into 0 16.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.891 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 16.892 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 16.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 16.901 * [backup-simplify]: Simplify 0 into 0 16.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.905 * [backup-simplify]: Simplify 0 into 0 16.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 16.907 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 16.911 * [backup-simplify]: Simplify 0 into 0 16.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 16.914 * [backup-simplify]: Simplify 0 into 0 16.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 16.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 16.919 * [backup-simplify]: Simplify 0 into 0 16.919 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 16.920 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- a)) (/ PI 2))) into (* -1/2 (* a PI)) 16.920 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 16.920 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 16.920 * [taylor]: Taking taylor expansion of -1/2 in a 16.920 * [backup-simplify]: Simplify -1/2 into -1/2 16.920 * [taylor]: Taking taylor expansion of (* a PI) in a 16.920 * [taylor]: Taking taylor expansion of a in a 16.920 * [backup-simplify]: Simplify 0 into 0 16.920 * [backup-simplify]: Simplify 1 into 1 16.920 * [taylor]: Taking taylor expansion of PI in a 16.920 * [backup-simplify]: Simplify PI into PI 16.920 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 16.920 * [taylor]: Taking taylor expansion of -1/2 in a 16.920 * [backup-simplify]: Simplify -1/2 into -1/2 16.920 * [taylor]: Taking taylor expansion of (* a PI) in a 16.920 * [taylor]: Taking taylor expansion of a in a 16.920 * [backup-simplify]: Simplify 0 into 0 16.920 * [backup-simplify]: Simplify 1 into 1 16.920 * [taylor]: Taking taylor expansion of PI in a 16.920 * [backup-simplify]: Simplify PI into PI 16.921 * [backup-simplify]: Simplify (* 0 PI) into 0 16.921 * [backup-simplify]: Simplify (* -1/2 0) into 0 16.921 * [backup-simplify]: Simplify 0 into 0 16.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.924 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 16.925 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 16.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.927 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 16.928 * [backup-simplify]: Simplify 0 into 0 16.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.930 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.930 * [backup-simplify]: Simplify 0 into 0 16.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.933 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 16.933 * [backup-simplify]: Simplify 0 into 0 16.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.936 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 16.936 * [backup-simplify]: Simplify 0 into 0 16.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.940 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 16.940 * [backup-simplify]: Simplify 0 into 0 16.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 16.944 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 16.945 * [backup-simplify]: Simplify 0 into 0 16.946 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 16.946 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 16.946 * [backup-simplify]: Simplify (/ a (/ PI 2)) into (* 2 (/ a PI)) 16.946 * [approximate]: Taking taylor expansion of (* 2 (/ a PI)) in (a) around 0 16.947 * [taylor]: Taking taylor expansion of (* 2 (/ a PI)) in a 16.947 * [taylor]: Taking taylor expansion of 2 in a 16.947 * [backup-simplify]: Simplify 2 into 2 16.947 * [taylor]: Taking taylor expansion of (/ a PI) in a 16.947 * [taylor]: Taking taylor expansion of a in a 16.947 * [backup-simplify]: Simplify 0 into 0 16.947 * [backup-simplify]: Simplify 1 into 1 16.947 * [taylor]: Taking taylor expansion of PI in a 16.947 * [backup-simplify]: Simplify PI into PI 16.947 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 16.947 * [taylor]: Taking taylor expansion of (* 2 (/ a PI)) in a 16.947 * [taylor]: Taking taylor expansion of 2 in a 16.947 * [backup-simplify]: Simplify 2 into 2 16.947 * [taylor]: Taking taylor expansion of (/ a PI) in a 16.947 * [taylor]: Taking taylor expansion of a in a 16.947 * [backup-simplify]: Simplify 0 into 0 16.947 * [backup-simplify]: Simplify 1 into 1 16.947 * [taylor]: Taking taylor expansion of PI in a 16.947 * [backup-simplify]: Simplify PI into PI 16.948 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 16.949 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 16.950 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 16.951 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 16.952 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 16.952 * [backup-simplify]: Simplify 0 into 0 16.953 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.954 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 16.955 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 16.958 * [backup-simplify]: Simplify 0 into 0 16.959 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.961 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 16.961 * [backup-simplify]: Simplify 0 into 0 16.962 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))))) into 0 16.964 * [backup-simplify]: Simplify 0 into 0 16.966 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))))) into 0 16.968 * [backup-simplify]: Simplify 0 into 0 16.969 * [backup-simplify]: Simplify (* (/ 2 PI) a) into (* 2 (/ a PI)) 16.969 * [backup-simplify]: Simplify (/ (/ 1 a) (/ PI 2)) into (/ 2 (* a PI)) 16.969 * [approximate]: Taking taylor expansion of (/ 2 (* a PI)) in (a) around 0 16.969 * [taylor]: Taking taylor expansion of (/ 2 (* a PI)) in a 16.969 * [taylor]: Taking taylor expansion of 2 in a 16.969 * [backup-simplify]: Simplify 2 into 2 16.969 * [taylor]: Taking taylor expansion of (* a PI) in a 16.969 * [taylor]: Taking taylor expansion of a in a 16.969 * [backup-simplify]: Simplify 0 into 0 16.969 * [backup-simplify]: Simplify 1 into 1 16.970 * [taylor]: Taking taylor expansion of PI in a 16.970 * [backup-simplify]: Simplify PI into PI 16.970 * [backup-simplify]: Simplify (* 0 PI) into 0 16.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.972 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 16.972 * [taylor]: Taking taylor expansion of (/ 2 (* a PI)) in a 16.972 * [taylor]: Taking taylor expansion of 2 in a 16.972 * [backup-simplify]: Simplify 2 into 2 16.972 * [taylor]: Taking taylor expansion of (* a PI) in a 16.972 * [taylor]: Taking taylor expansion of a in a 16.972 * [backup-simplify]: Simplify 0 into 0 16.972 * [backup-simplify]: Simplify 1 into 1 16.972 * [taylor]: Taking taylor expansion of PI in a 16.972 * [backup-simplify]: Simplify PI into PI 16.973 * [backup-simplify]: Simplify (* 0 PI) into 0 16.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.975 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 16.976 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 16.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.978 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) into 0 16.978 * [backup-simplify]: Simplify 0 into 0 16.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.980 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.980 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.983 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.983 * [backup-simplify]: Simplify 0 into 0 16.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.986 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.986 * [backup-simplify]: Simplify 0 into 0 16.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.989 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.989 * [backup-simplify]: Simplify 0 into 0 16.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 16.992 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 16.993 * [backup-simplify]: Simplify 0 into 0 16.993 * [backup-simplify]: Simplify (* (/ 2 PI) (/ 1 (/ 1 a))) into (* 2 (/ a PI)) 16.994 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (/ PI 2)) into (/ -2 (* a PI)) 16.994 * [approximate]: Taking taylor expansion of (/ -2 (* a PI)) in (a) around 0 16.994 * [taylor]: Taking taylor expansion of (/ -2 (* a PI)) in a 16.994 * [taylor]: Taking taylor expansion of -2 in a 16.994 * [backup-simplify]: Simplify -2 into -2 16.994 * [taylor]: Taking taylor expansion of (* a PI) in a 16.994 * [taylor]: Taking taylor expansion of a in a 16.994 * [backup-simplify]: Simplify 0 into 0 16.994 * [backup-simplify]: Simplify 1 into 1 16.994 * [taylor]: Taking taylor expansion of PI in a 16.994 * [backup-simplify]: Simplify PI into PI 16.994 * [backup-simplify]: Simplify (* 0 PI) into 0 16.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.997 * [backup-simplify]: Simplify (/ -2 PI) into (/ -2 PI) 16.997 * [taylor]: Taking taylor expansion of (/ -2 (* a PI)) in a 16.997 * [taylor]: Taking taylor expansion of -2 in a 16.997 * [backup-simplify]: Simplify -2 into -2 16.997 * [taylor]: Taking taylor expansion of (* a PI) in a 16.997 * [taylor]: Taking taylor expansion of a in a 16.997 * [backup-simplify]: Simplify 0 into 0 16.997 * [backup-simplify]: Simplify 1 into 1 16.997 * [taylor]: Taking taylor expansion of PI in a 16.997 * [backup-simplify]: Simplify PI into PI 16.997 * [backup-simplify]: Simplify (* 0 PI) into 0 16.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.999 * [backup-simplify]: Simplify (/ -2 PI) into (/ -2 PI) 17.000 * [backup-simplify]: Simplify (/ -2 PI) into (/ -2 PI) 17.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.002 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) into 0 17.002 * [backup-simplify]: Simplify 0 into 0 17.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.005 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 17.005 * [backup-simplify]: Simplify 0 into 0 17.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.008 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.011 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 17.011 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.014 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 17.014 * [backup-simplify]: Simplify 0 into 0 17.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 17.018 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 17.018 * [backup-simplify]: Simplify 0 into 0 17.018 * [backup-simplify]: Simplify (* (/ -2 PI) (/ 1 (/ 1 (- a)))) into (* 2 (/ a PI)) 17.018 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 17.020 * [backup-simplify]: Simplify (/ (- (/ 1 (/ a (/ PI 2))) (/ (/ PI 2) b)) (+ a b)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) 17.020 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in (a b) around 0 17.020 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in b 17.020 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 17.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 17.020 * [taylor]: Taking taylor expansion of 1/2 in b 17.020 * [backup-simplify]: Simplify 1/2 into 1/2 17.020 * [taylor]: Taking taylor expansion of (/ PI a) in b 17.020 * [taylor]: Taking taylor expansion of PI in b 17.020 * [backup-simplify]: Simplify PI into PI 17.020 * [taylor]: Taking taylor expansion of a in b 17.020 * [backup-simplify]: Simplify a into a 17.020 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 17.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.020 * [taylor]: Taking taylor expansion of 1/2 in b 17.020 * [backup-simplify]: Simplify 1/2 into 1/2 17.020 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.020 * [taylor]: Taking taylor expansion of PI in b 17.020 * [backup-simplify]: Simplify PI into PI 17.020 * [taylor]: Taking taylor expansion of b in b 17.020 * [backup-simplify]: Simplify 0 into 0 17.021 * [backup-simplify]: Simplify 1 into 1 17.021 * [backup-simplify]: Simplify (/ PI 1) into PI 17.021 * [taylor]: Taking taylor expansion of (+ a b) in b 17.021 * [taylor]: Taking taylor expansion of a in b 17.021 * [backup-simplify]: Simplify a into a 17.021 * [taylor]: Taking taylor expansion of b in b 17.021 * [backup-simplify]: Simplify 0 into 0 17.021 * [backup-simplify]: Simplify 1 into 1 17.022 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.023 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 17.025 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 17.025 * [backup-simplify]: Simplify (+ a 0) into a 17.026 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) 17.026 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in a 17.026 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 17.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 17.026 * [taylor]: Taking taylor expansion of 1/2 in a 17.026 * [backup-simplify]: Simplify 1/2 into 1/2 17.026 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.026 * [taylor]: Taking taylor expansion of PI in a 17.026 * [backup-simplify]: Simplify PI into PI 17.026 * [taylor]: Taking taylor expansion of a in a 17.026 * [backup-simplify]: Simplify 0 into 0 17.026 * [backup-simplify]: Simplify 1 into 1 17.027 * [backup-simplify]: Simplify (/ PI 1) into PI 17.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 17.027 * [taylor]: Taking taylor expansion of 1/2 in a 17.027 * [backup-simplify]: Simplify 1/2 into 1/2 17.027 * [taylor]: Taking taylor expansion of (/ PI b) in a 17.027 * [taylor]: Taking taylor expansion of PI in a 17.027 * [backup-simplify]: Simplify PI into PI 17.027 * [taylor]: Taking taylor expansion of b in a 17.027 * [backup-simplify]: Simplify b into b 17.027 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 17.027 * [taylor]: Taking taylor expansion of (+ a b) in a 17.027 * [taylor]: Taking taylor expansion of a in a 17.027 * [backup-simplify]: Simplify 0 into 0 17.027 * [backup-simplify]: Simplify 1 into 1 17.027 * [taylor]: Taking taylor expansion of b in a 17.027 * [backup-simplify]: Simplify b into b 17.028 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.029 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 17.029 * [backup-simplify]: Simplify (+ 0 b) into b 17.030 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 17.030 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (+ a b)) in a 17.030 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 17.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 17.030 * [taylor]: Taking taylor expansion of 1/2 in a 17.030 * [backup-simplify]: Simplify 1/2 into 1/2 17.030 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.030 * [taylor]: Taking taylor expansion of PI in a 17.030 * [backup-simplify]: Simplify PI into PI 17.030 * [taylor]: Taking taylor expansion of a in a 17.030 * [backup-simplify]: Simplify 0 into 0 17.030 * [backup-simplify]: Simplify 1 into 1 17.030 * [backup-simplify]: Simplify (/ PI 1) into PI 17.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 17.030 * [taylor]: Taking taylor expansion of 1/2 in a 17.030 * [backup-simplify]: Simplify 1/2 into 1/2 17.030 * [taylor]: Taking taylor expansion of (/ PI b) in a 17.030 * [taylor]: Taking taylor expansion of PI in a 17.031 * [backup-simplify]: Simplify PI into PI 17.031 * [taylor]: Taking taylor expansion of b in a 17.031 * [backup-simplify]: Simplify b into b 17.031 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 17.031 * [taylor]: Taking taylor expansion of (+ a b) in a 17.031 * [taylor]: Taking taylor expansion of a in a 17.031 * [backup-simplify]: Simplify 0 into 0 17.031 * [backup-simplify]: Simplify 1 into 1 17.031 * [taylor]: Taking taylor expansion of b in a 17.031 * [backup-simplify]: Simplify b into b 17.031 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.032 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 17.032 * [backup-simplify]: Simplify (+ 0 b) into b 17.033 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 17.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.033 * [taylor]: Taking taylor expansion of 1/2 in b 17.033 * [backup-simplify]: Simplify 1/2 into 1/2 17.033 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.033 * [taylor]: Taking taylor expansion of PI in b 17.033 * [backup-simplify]: Simplify PI into PI 17.033 * [taylor]: Taking taylor expansion of b in b 17.033 * [backup-simplify]: Simplify 0 into 0 17.033 * [backup-simplify]: Simplify 1 into 1 17.034 * [backup-simplify]: Simplify (/ PI 1) into PI 17.034 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.035 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.037 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 17.037 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 17.037 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 17.038 * [backup-simplify]: Simplify (+ 1 0) into 1 17.038 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) 17.038 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 17.038 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.038 * [taylor]: Taking taylor expansion of PI in b 17.038 * [backup-simplify]: Simplify PI into PI 17.038 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.038 * [taylor]: Taking taylor expansion of b in b 17.038 * [backup-simplify]: Simplify 0 into 0 17.038 * [backup-simplify]: Simplify 1 into 1 17.039 * [backup-simplify]: Simplify (* 1 1) into 1 17.039 * [backup-simplify]: Simplify (/ PI 1) into PI 17.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.041 * [backup-simplify]: Simplify (- 0) into 0 17.041 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.043 * [backup-simplify]: Simplify 0 into 0 17.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.045 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 17.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 17.046 * [backup-simplify]: Simplify (- 0) into 0 17.047 * [backup-simplify]: Simplify (+ 0 0) into 0 17.047 * [backup-simplify]: Simplify (+ 0 0) into 0 17.047 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 17.048 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 17.048 * [taylor]: Taking taylor expansion of PI in b 17.048 * [backup-simplify]: Simplify PI into PI 17.048 * [taylor]: Taking taylor expansion of (pow b 3) in b 17.048 * [taylor]: Taking taylor expansion of b in b 17.048 * [backup-simplify]: Simplify 0 into 0 17.048 * [backup-simplify]: Simplify 1 into 1 17.048 * [backup-simplify]: Simplify (* 1 1) into 1 17.048 * [backup-simplify]: Simplify (* 1 1) into 1 17.049 * [backup-simplify]: Simplify (/ PI 1) into PI 17.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.064 * [backup-simplify]: Simplify 0 into 0 17.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.066 * [backup-simplify]: Simplify (- 0) into 0 17.066 * [backup-simplify]: Simplify 0 into 0 17.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.071 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 17.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 17.073 * [backup-simplify]: Simplify (- 0) into 0 17.073 * [backup-simplify]: Simplify (+ 0 0) into 0 17.073 * [backup-simplify]: Simplify (+ 0 0) into 0 17.074 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 17.074 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 17.074 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 17.074 * [taylor]: Taking taylor expansion of PI in b 17.074 * [backup-simplify]: Simplify PI into PI 17.074 * [taylor]: Taking taylor expansion of (pow b 4) in b 17.074 * [taylor]: Taking taylor expansion of b in b 17.074 * [backup-simplify]: Simplify 0 into 0 17.074 * [backup-simplify]: Simplify 1 into 1 17.075 * [backup-simplify]: Simplify (* 1 1) into 1 17.075 * [backup-simplify]: Simplify (* 1 1) into 1 17.075 * [backup-simplify]: Simplify (/ PI 1) into PI 17.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.085 * [backup-simplify]: Simplify (- 0) into 0 17.085 * [backup-simplify]: Simplify 0 into 0 17.085 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 17.087 * [backup-simplify]: Simplify (/ (- (/ 1 (/ (/ 1 a) (/ PI 2))) (/ (/ PI 2) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) 17.087 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 17.087 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in b 17.087 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 17.087 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 17.087 * [taylor]: Taking taylor expansion of 1/2 in b 17.087 * [backup-simplify]: Simplify 1/2 into 1/2 17.087 * [taylor]: Taking taylor expansion of (* a PI) in b 17.087 * [taylor]: Taking taylor expansion of a in b 17.087 * [backup-simplify]: Simplify a into a 17.087 * [taylor]: Taking taylor expansion of PI in b 17.087 * [backup-simplify]: Simplify PI into PI 17.087 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 17.087 * [taylor]: Taking taylor expansion of 1/2 in b 17.087 * [backup-simplify]: Simplify 1/2 into 1/2 17.087 * [taylor]: Taking taylor expansion of (* b PI) in b 17.087 * [taylor]: Taking taylor expansion of b in b 17.087 * [backup-simplify]: Simplify 0 into 0 17.087 * [backup-simplify]: Simplify 1 into 1 17.087 * [taylor]: Taking taylor expansion of PI in b 17.087 * [backup-simplify]: Simplify PI into PI 17.087 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.087 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.087 * [taylor]: Taking taylor expansion of a in b 17.087 * [backup-simplify]: Simplify a into a 17.087 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.087 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.087 * [taylor]: Taking taylor expansion of b in b 17.087 * [backup-simplify]: Simplify 0 into 0 17.088 * [backup-simplify]: Simplify 1 into 1 17.088 * [backup-simplify]: Simplify (/ 1 1) into 1 17.088 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.088 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 17.089 * [backup-simplify]: Simplify (* 0 PI) into 0 17.089 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.089 * [backup-simplify]: Simplify (- 0) into 0 17.090 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 17.090 * [backup-simplify]: Simplify (+ 0 1) into 1 17.090 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 17.090 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in a 17.090 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 17.090 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 17.090 * [taylor]: Taking taylor expansion of 1/2 in a 17.090 * [backup-simplify]: Simplify 1/2 into 1/2 17.090 * [taylor]: Taking taylor expansion of (* a PI) in a 17.090 * [taylor]: Taking taylor expansion of a in a 17.090 * [backup-simplify]: Simplify 0 into 0 17.090 * [backup-simplify]: Simplify 1 into 1 17.090 * [taylor]: Taking taylor expansion of PI in a 17.090 * [backup-simplify]: Simplify PI into PI 17.090 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 17.090 * [taylor]: Taking taylor expansion of 1/2 in a 17.091 * [backup-simplify]: Simplify 1/2 into 1/2 17.091 * [taylor]: Taking taylor expansion of (* b PI) in a 17.091 * [taylor]: Taking taylor expansion of b in a 17.091 * [backup-simplify]: Simplify b into b 17.091 * [taylor]: Taking taylor expansion of PI in a 17.091 * [backup-simplify]: Simplify PI into PI 17.091 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.091 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.091 * [taylor]: Taking taylor expansion of a in a 17.091 * [backup-simplify]: Simplify 0 into 0 17.091 * [backup-simplify]: Simplify 1 into 1 17.091 * [backup-simplify]: Simplify (/ 1 1) into 1 17.091 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.091 * [taylor]: Taking taylor expansion of b in a 17.091 * [backup-simplify]: Simplify b into b 17.091 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.092 * [backup-simplify]: Simplify (* 0 PI) into 0 17.092 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.092 * [backup-simplify]: Simplify (* b PI) into (* PI b) 17.092 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 17.093 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 17.093 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 17.093 * [backup-simplify]: Simplify (+ 1 0) into 1 17.093 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 17.093 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (+ (/ 1 a) (/ 1 b))) in a 17.093 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 17.093 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 17.093 * [taylor]: Taking taylor expansion of 1/2 in a 17.093 * [backup-simplify]: Simplify 1/2 into 1/2 17.093 * [taylor]: Taking taylor expansion of (* a PI) in a 17.093 * [taylor]: Taking taylor expansion of a in a 17.093 * [backup-simplify]: Simplify 0 into 0 17.093 * [backup-simplify]: Simplify 1 into 1 17.094 * [taylor]: Taking taylor expansion of PI in a 17.094 * [backup-simplify]: Simplify PI into PI 17.094 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 17.094 * [taylor]: Taking taylor expansion of 1/2 in a 17.094 * [backup-simplify]: Simplify 1/2 into 1/2 17.094 * [taylor]: Taking taylor expansion of (* b PI) in a 17.094 * [taylor]: Taking taylor expansion of b in a 17.094 * [backup-simplify]: Simplify b into b 17.094 * [taylor]: Taking taylor expansion of PI in a 17.094 * [backup-simplify]: Simplify PI into PI 17.094 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.094 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.094 * [taylor]: Taking taylor expansion of a in a 17.094 * [backup-simplify]: Simplify 0 into 0 17.094 * [backup-simplify]: Simplify 1 into 1 17.094 * [backup-simplify]: Simplify (/ 1 1) into 1 17.094 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.094 * [taylor]: Taking taylor expansion of b in a 17.094 * [backup-simplify]: Simplify b into b 17.094 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.095 * [backup-simplify]: Simplify (* 0 PI) into 0 17.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.095 * [backup-simplify]: Simplify (* b PI) into (* PI b) 17.095 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 17.096 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 17.096 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 17.096 * [backup-simplify]: Simplify (+ 1 0) into 1 17.096 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 17.096 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 17.096 * [taylor]: Taking taylor expansion of -1/2 in b 17.096 * [backup-simplify]: Simplify -1/2 into -1/2 17.096 * [taylor]: Taking taylor expansion of (* b PI) in b 17.096 * [taylor]: Taking taylor expansion of b in b 17.096 * [backup-simplify]: Simplify 0 into 0 17.096 * [backup-simplify]: Simplify 1 into 1 17.097 * [taylor]: Taking taylor expansion of PI in b 17.097 * [backup-simplify]: Simplify PI into PI 17.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.099 * [backup-simplify]: Simplify (* 0 PI) into 0 17.100 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 17.102 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 17.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.105 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 17.105 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 17.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 17.106 * [backup-simplify]: Simplify (- 0) into 0 17.107 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 17.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.108 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 17.109 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* b PI)) (/ (/ 1 b) 1)))) into PI 17.109 * [taylor]: Taking taylor expansion of PI in b 17.109 * [backup-simplify]: Simplify PI into PI 17.109 * [backup-simplify]: Simplify 0 into 0 17.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.112 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.112 * [backup-simplify]: Simplify 0 into 0 17.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.115 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 17.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 17.116 * [backup-simplify]: Simplify (- 0) into 0 17.117 * [backup-simplify]: Simplify (+ 0 0) into 0 17.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.118 * [backup-simplify]: Simplify (+ 0 0) into 0 17.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 17.119 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 17.119 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.120 * [taylor]: Taking taylor expansion of PI in b 17.120 * [backup-simplify]: Simplify PI into PI 17.120 * [taylor]: Taking taylor expansion of b in b 17.120 * [backup-simplify]: Simplify 0 into 0 17.120 * [backup-simplify]: Simplify 1 into 1 17.120 * [backup-simplify]: Simplify (/ PI 1) into PI 17.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.123 * [backup-simplify]: Simplify (- 0) into 0 17.123 * [backup-simplify]: Simplify 0 into 0 17.123 * [backup-simplify]: Simplify 0 into 0 17.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.125 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.125 * [backup-simplify]: Simplify 0 into 0 17.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.129 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 17.130 * [backup-simplify]: Simplify (- 0) into 0 17.130 * [backup-simplify]: Simplify (+ 0 0) into 0 17.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 17.132 * [backup-simplify]: Simplify (+ 0 0) into 0 17.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 17.134 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.134 * [taylor]: Taking taylor expansion of PI in b 17.134 * [backup-simplify]: Simplify PI into PI 17.134 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.134 * [taylor]: Taking taylor expansion of b in b 17.134 * [backup-simplify]: Simplify 0 into 0 17.134 * [backup-simplify]: Simplify 1 into 1 17.134 * [backup-simplify]: Simplify (* 1 1) into 1 17.135 * [backup-simplify]: Simplify (/ PI 1) into PI 17.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.141 * [backup-simplify]: Simplify 0 into 0 17.142 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 17.143 * [backup-simplify]: Simplify (/ (- (/ 1 (/ (/ 1 (- a)) (/ PI 2))) (/ (/ PI 2) (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) 17.143 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 17.143 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in b 17.143 * [taylor]: Taking taylor expansion of -1 in b 17.143 * [backup-simplify]: Simplify -1 into -1 17.143 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in b 17.143 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 17.143 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 17.143 * [taylor]: Taking taylor expansion of 1/2 in b 17.143 * [backup-simplify]: Simplify 1/2 into 1/2 17.143 * [taylor]: Taking taylor expansion of (* b PI) in b 17.143 * [taylor]: Taking taylor expansion of b in b 17.143 * [backup-simplify]: Simplify 0 into 0 17.143 * [backup-simplify]: Simplify 1 into 1 17.144 * [taylor]: Taking taylor expansion of PI in b 17.144 * [backup-simplify]: Simplify PI into PI 17.144 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 17.144 * [taylor]: Taking taylor expansion of 1/2 in b 17.144 * [backup-simplify]: Simplify 1/2 into 1/2 17.144 * [taylor]: Taking taylor expansion of (* a PI) in b 17.144 * [taylor]: Taking taylor expansion of a in b 17.144 * [backup-simplify]: Simplify a into a 17.144 * [taylor]: Taking taylor expansion of PI in b 17.144 * [backup-simplify]: Simplify PI into PI 17.144 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.144 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.144 * [taylor]: Taking taylor expansion of a in b 17.144 * [backup-simplify]: Simplify a into a 17.144 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.144 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.144 * [taylor]: Taking taylor expansion of b in b 17.144 * [backup-simplify]: Simplify 0 into 0 17.144 * [backup-simplify]: Simplify 1 into 1 17.144 * [backup-simplify]: Simplify (/ 1 1) into 1 17.145 * [backup-simplify]: Simplify (* 0 PI) into 0 17.145 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.145 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.145 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 17.146 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 17.146 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 17.146 * [backup-simplify]: Simplify (+ 0 1) into 1 17.146 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 17.146 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in a 17.146 * [taylor]: Taking taylor expansion of -1 in a 17.146 * [backup-simplify]: Simplify -1 into -1 17.146 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in a 17.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 17.146 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 17.146 * [taylor]: Taking taylor expansion of 1/2 in a 17.147 * [backup-simplify]: Simplify 1/2 into 1/2 17.147 * [taylor]: Taking taylor expansion of (* b PI) in a 17.147 * [taylor]: Taking taylor expansion of b in a 17.147 * [backup-simplify]: Simplify b into b 17.147 * [taylor]: Taking taylor expansion of PI in a 17.147 * [backup-simplify]: Simplify PI into PI 17.147 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 17.147 * [taylor]: Taking taylor expansion of 1/2 in a 17.147 * [backup-simplify]: Simplify 1/2 into 1/2 17.147 * [taylor]: Taking taylor expansion of (* a PI) in a 17.147 * [taylor]: Taking taylor expansion of a in a 17.147 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify 1 into 1 17.147 * [taylor]: Taking taylor expansion of PI in a 17.147 * [backup-simplify]: Simplify PI into PI 17.147 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.147 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.147 * [taylor]: Taking taylor expansion of a in a 17.147 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify 1 into 1 17.147 * [backup-simplify]: Simplify (/ 1 1) into 1 17.147 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.147 * [taylor]: Taking taylor expansion of b in a 17.147 * [backup-simplify]: Simplify b into b 17.148 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.148 * [backup-simplify]: Simplify (* b PI) into (* PI b) 17.148 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 17.148 * [backup-simplify]: Simplify (* 0 PI) into 0 17.149 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.149 * [backup-simplify]: Simplify (- 0) into 0 17.149 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 17.149 * [backup-simplify]: Simplify (+ 1 0) into 1 17.150 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 17.150 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b)))) in a 17.150 * [taylor]: Taking taylor expansion of -1 in a 17.150 * [backup-simplify]: Simplify -1 into -1 17.150 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (+ (/ 1 a) (/ 1 b))) in a 17.150 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 17.150 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 17.150 * [taylor]: Taking taylor expansion of 1/2 in a 17.150 * [backup-simplify]: Simplify 1/2 into 1/2 17.150 * [taylor]: Taking taylor expansion of (* b PI) in a 17.150 * [taylor]: Taking taylor expansion of b in a 17.150 * [backup-simplify]: Simplify b into b 17.150 * [taylor]: Taking taylor expansion of PI in a 17.150 * [backup-simplify]: Simplify PI into PI 17.150 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 17.150 * [taylor]: Taking taylor expansion of 1/2 in a 17.150 * [backup-simplify]: Simplify 1/2 into 1/2 17.150 * [taylor]: Taking taylor expansion of (* a PI) in a 17.150 * [taylor]: Taking taylor expansion of a in a 17.150 * [backup-simplify]: Simplify 0 into 0 17.150 * [backup-simplify]: Simplify 1 into 1 17.150 * [taylor]: Taking taylor expansion of PI in a 17.150 * [backup-simplify]: Simplify PI into PI 17.150 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.150 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.150 * [taylor]: Taking taylor expansion of a in a 17.150 * [backup-simplify]: Simplify 0 into 0 17.150 * [backup-simplify]: Simplify 1 into 1 17.151 * [backup-simplify]: Simplify (/ 1 1) into 1 17.151 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.151 * [taylor]: Taking taylor expansion of b in a 17.151 * [backup-simplify]: Simplify b into b 17.151 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.151 * [backup-simplify]: Simplify (* b PI) into (* PI b) 17.151 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 17.151 * [backup-simplify]: Simplify (* 0 PI) into 0 17.152 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.152 * [backup-simplify]: Simplify (- 0) into 0 17.152 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 17.153 * [backup-simplify]: Simplify (+ 1 0) into 1 17.153 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 17.153 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 17.153 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 17.153 * [taylor]: Taking taylor expansion of -1/2 in b 17.153 * [backup-simplify]: Simplify -1/2 into -1/2 17.153 * [taylor]: Taking taylor expansion of (* PI b) in b 17.153 * [taylor]: Taking taylor expansion of PI in b 17.153 * [backup-simplify]: Simplify PI into PI 17.153 * [taylor]: Taking taylor expansion of b in b 17.153 * [backup-simplify]: Simplify 0 into 0 17.153 * [backup-simplify]: Simplify 1 into 1 17.155 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 17.155 * [backup-simplify]: Simplify (* PI 0) into 0 17.157 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 17.158 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 17.159 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 17.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 17.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.163 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 17.164 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 17.166 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 17.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.167 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 17.169 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) 1)))) into (- PI) 17.170 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* 1/2 (* b PI)))) into PI 17.170 * [taylor]: Taking taylor expansion of PI in b 17.170 * [backup-simplify]: Simplify PI into PI 17.170 * [backup-simplify]: Simplify 0 into 0 17.171 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 17.172 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.172 * [backup-simplify]: Simplify 0 into 0 17.173 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 17.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 17.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.177 * [backup-simplify]: Simplify (- 0) into 0 17.177 * [backup-simplify]: Simplify (+ 0 0) into 0 17.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.179 * [backup-simplify]: Simplify (+ 0 0) into 0 17.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 17.181 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI))))) into (- (/ PI b)) 17.181 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 17.181 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.181 * [taylor]: Taking taylor expansion of PI in b 17.181 * [backup-simplify]: Simplify PI into PI 17.181 * [taylor]: Taking taylor expansion of b in b 17.181 * [backup-simplify]: Simplify 0 into 0 17.181 * [backup-simplify]: Simplify 1 into 1 17.181 * [backup-simplify]: Simplify (/ PI 1) into PI 17.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.184 * [backup-simplify]: Simplify (- 0) into 0 17.184 * [backup-simplify]: Simplify 0 into 0 17.184 * [backup-simplify]: Simplify 0 into 0 17.185 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.186 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.186 * [backup-simplify]: Simplify 0 into 0 17.187 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 17.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.192 * [backup-simplify]: Simplify (- 0) into 0 17.192 * [backup-simplify]: Simplify (+ 0 0) into 0 17.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 17.194 * [backup-simplify]: Simplify (+ 0 0) into 0 17.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI b) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 2))) 17.196 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI (pow b 2)))) (+ (* 0 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI)))))) into (/ PI (pow b 2)) 17.196 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.196 * [taylor]: Taking taylor expansion of PI in b 17.196 * [backup-simplify]: Simplify PI into PI 17.196 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.196 * [taylor]: Taking taylor expansion of b in b 17.196 * [backup-simplify]: Simplify 0 into 0 17.196 * [backup-simplify]: Simplify 1 into 1 17.197 * [backup-simplify]: Simplify (* 1 1) into 1 17.197 * [backup-simplify]: Simplify (/ PI 1) into PI 17.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.203 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 17.205 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 17.205 * [backup-simplify]: Simplify (/ (/ PI 2) b) into (* 1/2 (/ PI b)) 17.205 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 17.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.205 * [taylor]: Taking taylor expansion of 1/2 in b 17.205 * [backup-simplify]: Simplify 1/2 into 1/2 17.205 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.205 * [taylor]: Taking taylor expansion of PI in b 17.205 * [backup-simplify]: Simplify PI into PI 17.205 * [taylor]: Taking taylor expansion of b in b 17.205 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify 1 into 1 17.213 * [backup-simplify]: Simplify (/ PI 1) into PI 17.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.213 * [taylor]: Taking taylor expansion of 1/2 in b 17.213 * [backup-simplify]: Simplify 1/2 into 1/2 17.213 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.213 * [taylor]: Taking taylor expansion of PI in b 17.213 * [backup-simplify]: Simplify PI into PI 17.213 * [taylor]: Taking taylor expansion of b in b 17.213 * [backup-simplify]: Simplify 0 into 0 17.213 * [backup-simplify]: Simplify 1 into 1 17.214 * [backup-simplify]: Simplify (/ PI 1) into PI 17.215 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.215 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.217 * [backup-simplify]: Simplify 0 into 0 17.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.219 * [backup-simplify]: Simplify 0 into 0 17.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.222 * [backup-simplify]: Simplify 0 into 0 17.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.225 * [backup-simplify]: Simplify 0 into 0 17.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.228 * [backup-simplify]: Simplify 0 into 0 17.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.231 * [backup-simplify]: Simplify 0 into 0 17.231 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 17.232 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 b)) into (* 1/2 (* b PI)) 17.232 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 17.232 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 17.232 * [taylor]: Taking taylor expansion of 1/2 in b 17.232 * [backup-simplify]: Simplify 1/2 into 1/2 17.232 * [taylor]: Taking taylor expansion of (* b PI) in b 17.232 * [taylor]: Taking taylor expansion of b in b 17.232 * [backup-simplify]: Simplify 0 into 0 17.232 * [backup-simplify]: Simplify 1 into 1 17.232 * [taylor]: Taking taylor expansion of PI in b 17.232 * [backup-simplify]: Simplify PI into PI 17.232 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 17.232 * [taylor]: Taking taylor expansion of 1/2 in b 17.232 * [backup-simplify]: Simplify 1/2 into 1/2 17.232 * [taylor]: Taking taylor expansion of (* b PI) in b 17.232 * [taylor]: Taking taylor expansion of b in b 17.233 * [backup-simplify]: Simplify 0 into 0 17.233 * [backup-simplify]: Simplify 1 into 1 17.233 * [taylor]: Taking taylor expansion of PI in b 17.233 * [backup-simplify]: Simplify PI into PI 17.233 * [backup-simplify]: Simplify (* 0 PI) into 0 17.234 * [backup-simplify]: Simplify (* 1/2 0) into 0 17.234 * [backup-simplify]: Simplify 0 into 0 17.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.237 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 17.238 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.240 * [backup-simplify]: Simplify 0 into 0 17.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.242 * [backup-simplify]: Simplify 0 into 0 17.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.245 * [backup-simplify]: Simplify 0 into 0 17.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 17.249 * [backup-simplify]: Simplify 0 into 0 17.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 17.253 * [backup-simplify]: Simplify 0 into 0 17.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 17.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 17.257 * [backup-simplify]: Simplify 0 into 0 17.257 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 17.258 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- b))) into (* -1/2 (* b PI)) 17.258 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 17.258 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 17.258 * [taylor]: Taking taylor expansion of -1/2 in b 17.258 * [backup-simplify]: Simplify -1/2 into -1/2 17.258 * [taylor]: Taking taylor expansion of (* b PI) in b 17.258 * [taylor]: Taking taylor expansion of b in b 17.258 * [backup-simplify]: Simplify 0 into 0 17.258 * [backup-simplify]: Simplify 1 into 1 17.258 * [taylor]: Taking taylor expansion of PI in b 17.258 * [backup-simplify]: Simplify PI into PI 17.258 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 17.258 * [taylor]: Taking taylor expansion of -1/2 in b 17.258 * [backup-simplify]: Simplify -1/2 into -1/2 17.258 * [taylor]: Taking taylor expansion of (* b PI) in b 17.258 * [taylor]: Taking taylor expansion of b in b 17.258 * [backup-simplify]: Simplify 0 into 0 17.258 * [backup-simplify]: Simplify 1 into 1 17.259 * [taylor]: Taking taylor expansion of PI in b 17.259 * [backup-simplify]: Simplify PI into PI 17.259 * [backup-simplify]: Simplify (* 0 PI) into 0 17.259 * [backup-simplify]: Simplify (* -1/2 0) into 0 17.260 * [backup-simplify]: Simplify 0 into 0 17.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.263 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 17.264 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 17.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.266 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 17.266 * [backup-simplify]: Simplify 0 into 0 17.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.269 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.269 * [backup-simplify]: Simplify 0 into 0 17.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.272 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.272 * [backup-simplify]: Simplify 0 into 0 17.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.275 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 17.275 * [backup-simplify]: Simplify 0 into 0 17.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.280 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 17.280 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 17.284 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 17.284 * [backup-simplify]: Simplify 0 into 0 17.285 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 17.286 * * * [progress]: simplifying candidates 17.286 * * * * [progress]: [ 1 / 517 ] simplifiying candidate # 17.286 * * * * [progress]: [ 2 / 517 ] simplifiying candidate # 17.286 * * * * [progress]: [ 3 / 517 ] 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* * * * [progress]: [ 19 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 20 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 21 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 22 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 23 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 24 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 25 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 26 / 517 ] simplifiying candidate # 17.287 * * * * [progress]: [ 27 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 28 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 29 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 30 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 31 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 32 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 33 / 517 ] simplifiying candidate # 17.288 * * * * [progress]: [ 34 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candidate # 17.289 * * * * [progress]: [ 50 / 517 ] simplifiying candidate # 17.289 * * * * [progress]: [ 51 / 517 ] simplifiying candidate # 17.289 * * * * [progress]: [ 52 / 517 ] simplifiying candidate # 17.289 * * * * [progress]: [ 53 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 54 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 55 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 56 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 57 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 58 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 59 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 60 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 61 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 62 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 63 / 517 ] simplifiying candidate # 17.290 * * * * [progress]: [ 64 / 517 ] simplifiying candidate # 17.290 * * * 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] simplifiying candidate # 17.292 * * * * [progress]: [ 81 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 82 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 83 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 84 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 85 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 86 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 87 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 88 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 89 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 90 / 517 ] simplifiying candidate # 17.292 * * * * [progress]: [ 91 / 517 ] simplifiying candidate # 17.293 * * * * [progress]: [ 92 / 517 ] simplifiying candidate # 17.293 * * * * [progress]: [ 93 / 517 ] simplifiying candidate # 17.293 * * * * [progress]: [ 94 / 517 ] simplifiying candidate # 17.293 * * * * [progress]: [ 95 / 517 ] simplifiying candidate 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[progress]: [ 483 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 484 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 485 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 486 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 487 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 488 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 489 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 490 / 517 ] simplifiying candidate # 17.322 * * * * [progress]: [ 491 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 492 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 493 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 494 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 495 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 496 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 497 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 498 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 499 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 500 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 501 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 502 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 503 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 504 / 517 ] simplifiying candidate # 17.323 * * * * [progress]: [ 505 / 517 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) b)))) (+ a b)) (- b a)))> 17.323 * * * * [progress]: [ 506 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 507 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 508 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 509 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 510 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 511 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 512 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 513 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 514 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 515 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 516 / 517 ] simplifiying candidate # 17.324 * * * * [progress]: [ 517 / 517 ] simplifiying candidate # 17.331 * [simplify]: Simplifying: (- 1) (- (- (log a) (- (log PI) (log 2)))) (- (- (log a) (log (/ PI 2)))) (- (log (/ a (/ PI 2)))) (- 0 (- (log a) (- (log PI) (log 2)))) (- 0 (- (log a) (log (/ PI 2)))) (- 0 (log (/ a (/ PI 2)))) (- (log 1) (- (log a) (- (log PI) (log 2)))) (- (log 1) (- (log a) (log (/ PI 2)))) (- (log 1) (log (/ a (/ PI 2)))) (log (/ 1 (/ a (/ PI 2)))) (exp (/ 1 (/ a (/ PI 2)))) (/ (* (* 1 1) 1) (/ (* (* a a) a) (/ (* (* PI PI) PI) (* (* 2 2) 2)))) (/ (* (* 1 1) 1) (/ (* (* a a) a) (* (* (/ PI 2) (/ PI 2)) (/ PI 2)))) (/ (* (* 1 1) 1) (* (* (/ a (/ PI 2)) (/ a (/ PI 2))) (/ a (/ PI 2)))) (* (cbrt (/ 1 (/ a (/ PI 2)))) (cbrt (/ 1 (/ a (/ PI 2))))) (cbrt (/ 1 (/ a (/ PI 2)))) (* (* (/ 1 (/ a (/ PI 2))) (/ 1 (/ a (/ PI 2)))) (/ 1 (/ a (/ PI 2)))) (sqrt (/ 1 (/ a (/ PI 2)))) (sqrt (/ 1 (/ a (/ PI 2)))) (- 1) (- (/ a (/ PI 2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ a (/ PI 2))) (cbrt (/ a (/ PI 2))))) (/ (cbrt 1) (cbrt (/ a (/ PI 2)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ a (/ PI 2)))) (/ (cbrt 1) (sqrt (/ a (/ PI 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (/ PI 2)) (cbrt (/ PI 2))))) (/ (cbrt 1) (/ (cbrt a) (cbrt (/ PI 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (sqrt (/ PI 2)))) (/ (cbrt 1) (/ (cbrt a) (sqrt (/ PI 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt a) (/ (cbrt PI) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt a) (/ (cbrt PI) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt a) (cbrt a)) (/ (* (cbrt 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b))) (/ (/ PI 2) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (sqrt b)) 2) 1 (* 1/2 (/ PI b)) (/ (/ PI (cbrt b)) (cbrt b)) (/ 1/2 (cbrt b)) (/ PI (sqrt b)) (/ 1/2 (sqrt b)) PI (/ 1/2 b) (/ 1 b) (/ b (/ PI 2)) (/ (/ PI 2) (* (cbrt b) (cbrt b))) (/ (/ PI (sqrt b)) 2) (/ PI 2) (/ b (cbrt (/ PI 2))) (/ b (sqrt (/ PI 2))) (/ (* (cbrt 2) b) (cbrt PI)) (* (sqrt 2) (/ b (cbrt PI))) (/ b (/ (cbrt PI) 2)) (* (cbrt 2) (/ b (sqrt PI))) (* (/ b (sqrt PI)) (sqrt 2)) (* (/ b (sqrt PI)) 2) (* (cbrt 2) (/ b PI)) (* (/ b PI) (sqrt 2)) (/ b (/ PI 2)) (/ b (/ PI 2)) (* b 2) (* b 2) (real->posit16 (* 1/2 (/ PI b))) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (* 2 (/ a PI)) (* 2 (/ a PI)) (* 2 (/ a PI)) (* (/ 1/2 a) (/ PI b)) (/ (* -1/2 PI) (* a b)) (/ (* -1/2 PI) (* a b)) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) 30.748 * * * [progress]: adding candidates to table 35.349 * * [progress]: iteration 4 / 4 35.349 * * * [progress]: picking best candidate 35.368 * * * * [pick]: Picked # 35.368 * * * [progress]: localizing error 35.392 * * * [progress]: generating rewritten candidates 35.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 35.437 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 35.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 35.532 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 35.924 * * * [progress]: generating series expansions 35.924 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 35.924 * [backup-simplify]: Simplify (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) into (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (+ a b)) 35.924 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (+ a b)) in (a b) around 0 35.924 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (+ a b)) in b 35.925 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in b 35.925 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 35.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 35.925 * [taylor]: Taking taylor expansion of 1/2 in b 35.925 * [backup-simplify]: Simplify 1/2 into 1/2 35.925 * [taylor]: Taking taylor expansion of (/ 1 a) in b 35.925 * [taylor]: Taking taylor expansion of a in b 35.925 * [backup-simplify]: Simplify a into a 35.925 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 35.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 35.925 * [taylor]: Taking taylor expansion of 1/2 in b 35.925 * [backup-simplify]: Simplify 1/2 into 1/2 35.925 * [taylor]: Taking taylor expansion of (/ 1 b) in b 35.925 * [taylor]: Taking taylor expansion of b in b 35.925 * [backup-simplify]: Simplify 0 into 0 35.925 * [backup-simplify]: Simplify 1 into 1 35.925 * [backup-simplify]: Simplify (/ 1 1) into 1 35.925 * [taylor]: Taking taylor expansion of PI in b 35.925 * [backup-simplify]: Simplify PI into PI 35.925 * [taylor]: Taking taylor expansion of (+ a b) in b 35.925 * [taylor]: Taking taylor expansion of a in b 35.925 * [backup-simplify]: Simplify a into a 35.925 * [taylor]: Taking taylor expansion of b in b 35.925 * [backup-simplify]: Simplify 0 into 0 35.925 * [backup-simplify]: Simplify 1 into 1 35.925 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 35.926 * [backup-simplify]: Simplify (- 1/2) into -1/2 35.926 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 35.926 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 35.926 * [backup-simplify]: Simplify (+ a 0) into a 35.927 * [backup-simplify]: Simplify (/ (* -1/2 PI) a) into (* -1/2 (/ PI a)) 35.927 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (+ a b)) in a 35.927 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in a 35.927 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 35.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 35.927 * [taylor]: Taking taylor expansion of 1/2 in a 35.927 * [backup-simplify]: Simplify 1/2 into 1/2 35.927 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.927 * [taylor]: Taking taylor expansion of a in a 35.927 * [backup-simplify]: Simplify 0 into 0 35.927 * [backup-simplify]: Simplify 1 into 1 35.927 * [backup-simplify]: Simplify (/ 1 1) into 1 35.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 35.927 * [taylor]: Taking taylor expansion of 1/2 in a 35.927 * [backup-simplify]: Simplify 1/2 into 1/2 35.927 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.927 * [taylor]: Taking taylor expansion of b in a 35.927 * [backup-simplify]: Simplify b into b 35.927 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.927 * [taylor]: Taking taylor expansion of PI in a 35.927 * [backup-simplify]: Simplify PI into PI 35.927 * [taylor]: Taking taylor expansion of (+ a b) in a 35.927 * [taylor]: Taking taylor expansion of a in a 35.927 * [backup-simplify]: Simplify 0 into 0 35.927 * [backup-simplify]: Simplify 1 into 1 35.927 * [taylor]: Taking taylor expansion of b in a 35.927 * [backup-simplify]: Simplify b into b 35.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 35.928 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 35.928 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 35.928 * [backup-simplify]: Simplify (+ 0 b) into b 35.929 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 35.929 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (+ a b)) in a 35.929 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in a 35.929 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 35.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 35.929 * [taylor]: Taking taylor expansion of 1/2 in a 35.929 * [backup-simplify]: Simplify 1/2 into 1/2 35.929 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.929 * [taylor]: Taking taylor expansion of a in a 35.929 * [backup-simplify]: Simplify 0 into 0 35.929 * [backup-simplify]: Simplify 1 into 1 35.929 * [backup-simplify]: Simplify (/ 1 1) into 1 35.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 35.929 * [taylor]: Taking taylor expansion of 1/2 in a 35.929 * [backup-simplify]: Simplify 1/2 into 1/2 35.929 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.929 * [taylor]: Taking taylor expansion of b in a 35.929 * [backup-simplify]: Simplify b into b 35.929 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.929 * [taylor]: Taking taylor expansion of PI in a 35.929 * [backup-simplify]: Simplify PI into PI 35.929 * [taylor]: Taking taylor expansion of (+ a b) in a 35.929 * [taylor]: Taking taylor expansion of a in a 35.929 * [backup-simplify]: Simplify 0 into 0 35.929 * [backup-simplify]: Simplify 1 into 1 35.929 * [taylor]: Taking taylor expansion of b in a 35.929 * [backup-simplify]: Simplify b into b 35.930 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 35.930 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 35.930 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 35.930 * [backup-simplify]: Simplify (+ 0 b) into b 35.930 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 35.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 35.931 * [taylor]: Taking taylor expansion of 1/2 in b 35.931 * [backup-simplify]: Simplify 1/2 into 1/2 35.931 * [taylor]: Taking taylor expansion of (/ PI b) in b 35.931 * [taylor]: Taking taylor expansion of PI in b 35.931 * [backup-simplify]: Simplify PI into PI 35.931 * [taylor]: Taking taylor expansion of b in b 35.931 * [backup-simplify]: Simplify 0 into 0 35.931 * [backup-simplify]: Simplify 1 into 1 35.931 * [backup-simplify]: Simplify (/ PI 1) into PI 35.931 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 35.932 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 35.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 35.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 35.933 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 35.933 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 35.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* (- (* 1/2 (/ 1 b))) PI)) into (- (* 1/2 (/ PI b))) 35.933 * [backup-simplify]: Simplify (+ 1 0) into 1 35.934 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) 35.934 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 35.934 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 35.934 * [taylor]: Taking taylor expansion of PI in b 35.934 * [backup-simplify]: Simplify PI into PI 35.934 * [taylor]: Taking taylor expansion of (pow b 2) in b 35.934 * [taylor]: Taking taylor expansion of b in b 35.934 * [backup-simplify]: Simplify 0 into 0 35.934 * [backup-simplify]: Simplify 1 into 1 35.934 * [backup-simplify]: Simplify (* 1 1) into 1 35.934 * [backup-simplify]: Simplify (/ PI 1) into PI 35.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.936 * [backup-simplify]: Simplify (- 0) into 0 35.936 * [backup-simplify]: Simplify 0 into 0 35.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 35.937 * [backup-simplify]: Simplify 0 into 0 35.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 35.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 35.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 35.939 * [backup-simplify]: Simplify (- 0) into 0 35.939 * [backup-simplify]: Simplify (+ 0 0) into 0 35.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 b))) 0) (* 0 PI))) into 0 35.940 * [backup-simplify]: Simplify (+ 0 0) into 0 35.940 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 35.940 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 35.940 * [taylor]: Taking taylor expansion of PI in b 35.940 * [backup-simplify]: Simplify PI into PI 35.940 * [taylor]: Taking taylor expansion of (pow b 3) in b 35.940 * [taylor]: Taking taylor expansion of b in b 35.940 * [backup-simplify]: Simplify 0 into 0 35.940 * [backup-simplify]: Simplify 1 into 1 35.940 * [backup-simplify]: Simplify (* 1 1) into 1 35.941 * [backup-simplify]: Simplify (* 1 1) into 1 35.941 * [backup-simplify]: Simplify (/ PI 1) into PI 35.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.944 * [backup-simplify]: Simplify 0 into 0 35.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.946 * [backup-simplify]: Simplify (- 0) into 0 35.946 * [backup-simplify]: Simplify 0 into 0 35.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 35.947 * [backup-simplify]: Simplify 0 into 0 35.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 35.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 35.949 * [backup-simplify]: Simplify (- 0) into 0 35.949 * [backup-simplify]: Simplify (+ 0 0) into 0 35.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 b))) 0) (+ (* 0 0) (* 0 PI)))) into 0 35.950 * [backup-simplify]: Simplify (+ 0 0) into 0 35.951 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 35.951 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 35.951 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 35.951 * [taylor]: Taking taylor expansion of PI in b 35.951 * [backup-simplify]: Simplify PI into PI 35.951 * [taylor]: Taking taylor expansion of (pow b 4) in b 35.951 * [taylor]: Taking taylor expansion of b in b 35.951 * [backup-simplify]: Simplify 0 into 0 35.951 * [backup-simplify]: Simplify 1 into 1 35.951 * [backup-simplify]: Simplify (* 1 1) into 1 35.951 * [backup-simplify]: Simplify (* 1 1) into 1 35.952 * [backup-simplify]: Simplify (/ PI 1) into PI 35.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.957 * [backup-simplify]: Simplify (- 0) into 0 35.957 * [backup-simplify]: Simplify 0 into 0 35.957 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 35.958 * [backup-simplify]: Simplify (/ (/ PI 1) (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))))) into (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (+ (/ 1 a) (/ 1 b))) 35.958 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 35.958 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 35.958 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in b 35.958 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 35.958 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 35.958 * [taylor]: Taking taylor expansion of 1/2 in b 35.958 * [backup-simplify]: Simplify 1/2 into 1/2 35.958 * [taylor]: Taking taylor expansion of a in b 35.958 * [backup-simplify]: Simplify a into a 35.958 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 35.958 * [taylor]: Taking taylor expansion of 1/2 in b 35.958 * [backup-simplify]: Simplify 1/2 into 1/2 35.958 * [taylor]: Taking taylor expansion of b in b 35.958 * [backup-simplify]: Simplify 0 into 0 35.958 * [backup-simplify]: Simplify 1 into 1 35.958 * [taylor]: Taking taylor expansion of PI in b 35.958 * [backup-simplify]: Simplify PI into PI 35.958 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 35.958 * [taylor]: Taking taylor expansion of (/ 1 a) in b 35.958 * [taylor]: Taking taylor expansion of a in b 35.958 * [backup-simplify]: Simplify a into a 35.958 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 35.958 * [taylor]: Taking taylor expansion of (/ 1 b) in b 35.958 * [taylor]: Taking taylor expansion of b in b 35.958 * [backup-simplify]: Simplify 0 into 0 35.958 * [backup-simplify]: Simplify 1 into 1 35.959 * [backup-simplify]: Simplify (/ 1 1) into 1 35.959 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 35.959 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.959 * [backup-simplify]: Simplify (- 0) into 0 35.959 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 35.959 * [backup-simplify]: Simplify (* (* 1/2 a) PI) into (* 1/2 (* a PI)) 35.960 * [backup-simplify]: Simplify (+ 0 1) into 1 35.960 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 35.960 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 35.960 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in a 35.960 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 35.960 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 35.960 * [taylor]: Taking taylor expansion of 1/2 in a 35.960 * [backup-simplify]: Simplify 1/2 into 1/2 35.960 * [taylor]: Taking taylor expansion of a in a 35.960 * [backup-simplify]: Simplify 0 into 0 35.960 * [backup-simplify]: Simplify 1 into 1 35.960 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 35.960 * [taylor]: Taking taylor expansion of 1/2 in a 35.960 * [backup-simplify]: Simplify 1/2 into 1/2 35.960 * [taylor]: Taking taylor expansion of b in a 35.960 * [backup-simplify]: Simplify b into b 35.960 * [taylor]: Taking taylor expansion of PI in a 35.960 * [backup-simplify]: Simplify PI into PI 35.960 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 35.960 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.960 * [taylor]: Taking taylor expansion of a in a 35.960 * [backup-simplify]: Simplify 0 into 0 35.960 * [backup-simplify]: Simplify 1 into 1 35.960 * [backup-simplify]: Simplify (/ 1 1) into 1 35.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.960 * [taylor]: Taking taylor expansion of b in a 35.960 * [backup-simplify]: Simplify b into b 35.960 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.961 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.961 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 35.961 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 35.961 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 35.961 * [backup-simplify]: Simplify (* (- (* 1/2 b)) PI) into (* -1/2 (* PI b)) 35.961 * [backup-simplify]: Simplify (+ 1 0) into 1 35.961 * [backup-simplify]: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) 35.961 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 35.961 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in a 35.961 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 35.961 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 35.961 * [taylor]: Taking taylor expansion of 1/2 in a 35.961 * [backup-simplify]: Simplify 1/2 into 1/2 35.961 * [taylor]: Taking taylor expansion of a in a 35.961 * [backup-simplify]: Simplify 0 into 0 35.961 * [backup-simplify]: Simplify 1 into 1 35.961 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 35.961 * [taylor]: Taking taylor expansion of 1/2 in a 35.961 * [backup-simplify]: Simplify 1/2 into 1/2 35.961 * [taylor]: Taking taylor expansion of b in a 35.961 * [backup-simplify]: Simplify b into b 35.961 * [taylor]: Taking taylor expansion of PI in a 35.961 * [backup-simplify]: Simplify PI into PI 35.961 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 35.961 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.961 * [taylor]: Taking taylor expansion of a in a 35.961 * [backup-simplify]: Simplify 0 into 0 35.961 * [backup-simplify]: Simplify 1 into 1 35.962 * [backup-simplify]: Simplify (/ 1 1) into 1 35.962 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.962 * [taylor]: Taking taylor expansion of b in a 35.962 * [backup-simplify]: Simplify b into b 35.962 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.962 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.962 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 35.962 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 35.962 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 35.962 * [backup-simplify]: Simplify (* (- (* 1/2 b)) PI) into (* -1/2 (* PI b)) 35.962 * [backup-simplify]: Simplify (+ 1 0) into 1 35.963 * [backup-simplify]: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) 35.963 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 35.963 * [taylor]: Taking taylor expansion of -1/2 in b 35.963 * [backup-simplify]: Simplify -1/2 into -1/2 35.963 * [taylor]: Taking taylor expansion of (* b PI) in b 35.963 * [taylor]: Taking taylor expansion of b in b 35.963 * [backup-simplify]: Simplify 0 into 0 35.963 * [backup-simplify]: Simplify 1 into 1 35.963 * [taylor]: Taking taylor expansion of PI in b 35.963 * [backup-simplify]: Simplify PI into PI 35.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 35.965 * [backup-simplify]: Simplify (* 0 PI) into 0 35.966 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 35.967 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 35.967 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 35.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 35.968 * [backup-simplify]: Simplify (- 0) into 0 35.968 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 35.968 * [backup-simplify]: Simplify (+ (* (- (* 1/2 b)) 0) (* 1/2 PI)) into (* 1/2 PI) 35.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 35.969 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 35.970 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* b PI)) (/ (/ 1 b) 1)))) into PI 35.970 * [taylor]: Taking taylor expansion of PI in b 35.970 * [backup-simplify]: Simplify PI into PI 35.970 * [backup-simplify]: Simplify 0 into 0 35.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 35.971 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 35.971 * [backup-simplify]: Simplify 0 into 0 35.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 35.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 35.972 * [backup-simplify]: Simplify (- 0) into 0 35.973 * [backup-simplify]: Simplify (+ 0 0) into 0 35.973 * [backup-simplify]: Simplify (+ (* (- (* 1/2 b)) 0) (+ (* 1/2 0) (* 0 PI))) into 0 35.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 35.975 * [backup-simplify]: Simplify (+ 0 0) into 0 35.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 35.976 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 35.976 * [taylor]: Taking taylor expansion of (/ PI b) in b 35.976 * [taylor]: Taking taylor expansion of PI in b 35.976 * [backup-simplify]: Simplify PI into PI 35.976 * [taylor]: Taking taylor expansion of b in b 35.976 * [backup-simplify]: Simplify 0 into 0 35.976 * [backup-simplify]: Simplify 1 into 1 35.976 * [backup-simplify]: Simplify (/ PI 1) into PI 35.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.978 * [backup-simplify]: Simplify (- 0) into 0 35.978 * [backup-simplify]: Simplify 0 into 0 35.978 * [backup-simplify]: Simplify 0 into 0 35.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 35.980 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 35.980 * [backup-simplify]: Simplify 0 into 0 35.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 35.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 35.981 * [backup-simplify]: Simplify (- 0) into 0 35.982 * [backup-simplify]: Simplify (+ 0 0) into 0 35.982 * [backup-simplify]: Simplify (+ (* (- (* 1/2 b)) 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 PI)))) into 0 35.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 35.983 * [backup-simplify]: Simplify (+ 0 0) into 0 35.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 35.984 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 35.984 * [taylor]: Taking taylor expansion of PI in b 35.984 * [backup-simplify]: Simplify PI into PI 35.984 * [taylor]: Taking taylor expansion of (pow b 2) in b 35.984 * [taylor]: Taking taylor expansion of b in b 35.984 * [backup-simplify]: Simplify 0 into 0 35.984 * [backup-simplify]: Simplify 1 into 1 35.985 * [backup-simplify]: Simplify (* 1 1) into 1 35.985 * [backup-simplify]: Simplify (/ PI 1) into PI 35.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 35.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 35.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 35.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 35.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 35.988 * [backup-simplify]: Simplify 0 into 0 35.989 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 35.990 * [backup-simplify]: Simplify (/ (/ PI 1) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))))) into (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b)))) 35.990 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 35.990 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 35.990 * [taylor]: Taking taylor expansion of -1 in b 35.990 * [backup-simplify]: Simplify -1 into -1 35.990 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 35.990 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in b 35.990 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 35.990 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 35.990 * [taylor]: Taking taylor expansion of 1/2 in b 35.990 * [backup-simplify]: Simplify 1/2 into 1/2 35.990 * [taylor]: Taking taylor expansion of b in b 35.990 * [backup-simplify]: Simplify 0 into 0 35.990 * [backup-simplify]: Simplify 1 into 1 35.990 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 35.990 * [taylor]: Taking taylor expansion of 1/2 in b 35.990 * [backup-simplify]: Simplify 1/2 into 1/2 35.990 * [taylor]: Taking taylor expansion of a in b 35.990 * [backup-simplify]: Simplify a into a 35.990 * [taylor]: Taking taylor expansion of PI in b 35.990 * [backup-simplify]: Simplify PI into PI 35.990 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 35.990 * [taylor]: Taking taylor expansion of (/ 1 a) in b 35.990 * [taylor]: Taking taylor expansion of a in b 35.990 * [backup-simplify]: Simplify a into a 35.990 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 35.990 * [taylor]: Taking taylor expansion of (/ 1 b) in b 35.990 * [taylor]: Taking taylor expansion of b in b 35.990 * [backup-simplify]: Simplify 0 into 0 35.990 * [backup-simplify]: Simplify 1 into 1 35.990 * [backup-simplify]: Simplify (/ 1 1) into 1 35.991 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.991 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 35.991 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 35.991 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 35.991 * [backup-simplify]: Simplify (* (- (* 1/2 a)) PI) into (* -1/2 (* a PI)) 35.991 * [backup-simplify]: Simplify (+ 0 1) into 1 35.991 * [backup-simplify]: Simplify (/ (* -1/2 (* a PI)) 1) into (* -1/2 (* a PI)) 35.991 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 35.991 * [taylor]: Taking taylor expansion of -1 in a 35.991 * [backup-simplify]: Simplify -1 into -1 35.991 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 35.991 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in a 35.991 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 35.991 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 35.991 * [taylor]: Taking taylor expansion of 1/2 in a 35.991 * [backup-simplify]: Simplify 1/2 into 1/2 35.991 * [taylor]: Taking taylor expansion of b in a 35.991 * [backup-simplify]: Simplify b into b 35.991 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 35.991 * [taylor]: Taking taylor expansion of 1/2 in a 35.991 * [backup-simplify]: Simplify 1/2 into 1/2 35.991 * [taylor]: Taking taylor expansion of a in a 35.991 * [backup-simplify]: Simplify 0 into 0 35.991 * [backup-simplify]: Simplify 1 into 1 35.991 * [taylor]: Taking taylor expansion of PI in a 35.991 * [backup-simplify]: Simplify PI into PI 35.991 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 35.991 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.991 * [taylor]: Taking taylor expansion of a in a 35.991 * [backup-simplify]: Simplify 0 into 0 35.991 * [backup-simplify]: Simplify 1 into 1 35.992 * [backup-simplify]: Simplify (/ 1 1) into 1 35.992 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.992 * [taylor]: Taking taylor expansion of b in a 35.992 * [backup-simplify]: Simplify b into b 35.992 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.992 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 35.992 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.992 * [backup-simplify]: Simplify (- 0) into 0 35.992 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 35.992 * [backup-simplify]: Simplify (* (* 1/2 b) PI) into (* 1/2 (* PI b)) 35.993 * [backup-simplify]: Simplify (+ 1 0) into 1 35.993 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 35.993 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 35.993 * [taylor]: Taking taylor expansion of -1 in a 35.993 * [backup-simplify]: Simplify -1 into -1 35.993 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 35.993 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in a 35.993 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 35.993 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 35.993 * [taylor]: Taking taylor expansion of 1/2 in a 35.993 * [backup-simplify]: Simplify 1/2 into 1/2 35.993 * [taylor]: Taking taylor expansion of b in a 35.993 * [backup-simplify]: Simplify b into b 35.993 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 35.993 * [taylor]: Taking taylor expansion of 1/2 in a 35.993 * [backup-simplify]: Simplify 1/2 into 1/2 35.993 * [taylor]: Taking taylor expansion of a in a 35.993 * [backup-simplify]: Simplify 0 into 0 35.993 * [backup-simplify]: Simplify 1 into 1 35.993 * [taylor]: Taking taylor expansion of PI in a 35.993 * [backup-simplify]: Simplify PI into PI 35.993 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 35.993 * [taylor]: Taking taylor expansion of (/ 1 a) in a 35.993 * [taylor]: Taking taylor expansion of a in a 35.993 * [backup-simplify]: Simplify 0 into 0 35.993 * [backup-simplify]: Simplify 1 into 1 35.993 * [backup-simplify]: Simplify (/ 1 1) into 1 35.993 * [taylor]: Taking taylor expansion of (/ 1 b) in a 35.993 * [taylor]: Taking taylor expansion of b in a 35.993 * [backup-simplify]: Simplify b into b 35.993 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 35.994 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 35.994 * [backup-simplify]: Simplify (* 1/2 0) into 0 35.994 * [backup-simplify]: Simplify (- 0) into 0 35.994 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 35.994 * [backup-simplify]: Simplify (* (* 1/2 b) PI) into (* 1/2 (* PI b)) 35.994 * [backup-simplify]: Simplify (+ 1 0) into 1 35.994 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 35.995 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 35.995 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 35.995 * [taylor]: Taking taylor expansion of -1/2 in b 35.995 * [backup-simplify]: Simplify -1/2 into -1/2 35.995 * [taylor]: Taking taylor expansion of (* PI b) in b 35.995 * [taylor]: Taking taylor expansion of PI in b 35.995 * [backup-simplify]: Simplify PI into PI 35.995 * [taylor]: Taking taylor expansion of b in b 35.995 * [backup-simplify]: Simplify 0 into 0 35.995 * [backup-simplify]: Simplify 1 into 1 35.996 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 35.996 * [backup-simplify]: Simplify (* PI 0) into 0 35.997 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 35.998 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 35.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 35.998 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 35.999 * [backup-simplify]: Simplify (- 1/2) into -1/2 35.999 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 35.999 * [backup-simplify]: Simplify (+ (* (* 1/2 b) 0) (* -1/2 PI)) into (- (* 1/2 PI)) 36.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.000 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 36.001 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) 1)))) into (- PI) 36.002 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* 1/2 (* b PI)))) into PI 36.002 * [taylor]: Taking taylor expansion of PI in b 36.002 * [backup-simplify]: Simplify PI into PI 36.002 * [backup-simplify]: Simplify 0 into 0 36.002 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 36.003 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 36.003 * [backup-simplify]: Simplify 0 into 0 36.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.004 * [backup-simplify]: Simplify (- 0) into 0 36.005 * [backup-simplify]: Simplify (+ 0 0) into 0 36.005 * [backup-simplify]: Simplify (+ (* (* 1/2 b) 0) (+ (* -1/2 0) (* 0 PI))) into 0 36.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.006 * [backup-simplify]: Simplify (+ 0 0) into 0 36.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 36.007 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI))))) into (- (/ PI b)) 36.007 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 36.007 * [taylor]: Taking taylor expansion of (/ PI b) in b 36.007 * [taylor]: Taking taylor expansion of PI in b 36.007 * [backup-simplify]: Simplify PI into PI 36.007 * [taylor]: Taking taylor expansion of b in b 36.007 * [backup-simplify]: Simplify 0 into 0 36.007 * [backup-simplify]: Simplify 1 into 1 36.008 * [backup-simplify]: Simplify (/ PI 1) into PI 36.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.009 * [backup-simplify]: Simplify (- 0) into 0 36.009 * [backup-simplify]: Simplify 0 into 0 36.009 * [backup-simplify]: Simplify 0 into 0 36.017 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.019 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 36.019 * [backup-simplify]: Simplify 0 into 0 36.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 36.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.022 * [backup-simplify]: Simplify (- 0) into 0 36.022 * [backup-simplify]: Simplify (+ 0 0) into 0 36.023 * [backup-simplify]: Simplify (+ (* (* 1/2 b) 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 PI)))) into 0 36.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.024 * [backup-simplify]: Simplify (+ 0 0) into 0 36.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI b) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 2))) 36.027 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI (pow b 2)))) (+ (* 0 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* 1/2 (* b PI)))))) into (/ PI (pow b 2)) 36.027 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 36.027 * [taylor]: Taking taylor expansion of PI in b 36.027 * [backup-simplify]: Simplify PI into PI 36.027 * [taylor]: Taking taylor expansion of (pow b 2) in b 36.027 * [taylor]: Taking taylor expansion of b in b 36.027 * [backup-simplify]: Simplify 0 into 0 36.027 * [backup-simplify]: Simplify 1 into 1 36.028 * [backup-simplify]: Simplify (* 1 1) into 1 36.028 * [backup-simplify]: Simplify (/ PI 1) into PI 36.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.033 * [backup-simplify]: Simplify 0 into 0 36.036 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 36.036 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 36.036 * [backup-simplify]: Simplify (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) into (/ (+ a b) (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) 36.036 * [approximate]: Taking taylor expansion of (/ (+ a b) (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) in (a b) around 0 36.036 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) in b 36.036 * [taylor]: Taking taylor expansion of (+ a b) in b 36.036 * [taylor]: Taking taylor expansion of a in b 36.036 * [backup-simplify]: Simplify a into a 36.036 * [taylor]: Taking taylor expansion of b in b 36.036 * [backup-simplify]: Simplify 0 into 0 36.036 * [backup-simplify]: Simplify 1 into 1 36.036 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 36.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 36.037 * [taylor]: Taking taylor expansion of 1/2 in b 36.037 * [backup-simplify]: Simplify 1/2 into 1/2 36.037 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.037 * [taylor]: Taking taylor expansion of a in b 36.037 * [backup-simplify]: Simplify a into a 36.037 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 36.037 * [taylor]: Taking taylor expansion of 1/2 in b 36.037 * [backup-simplify]: Simplify 1/2 into 1/2 36.037 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.037 * [taylor]: Taking taylor expansion of b in b 36.037 * [backup-simplify]: Simplify 0 into 0 36.037 * [backup-simplify]: Simplify 1 into 1 36.037 * [backup-simplify]: Simplify (/ 1 1) into 1 36.038 * [backup-simplify]: Simplify (+ a 0) into a 36.038 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.038 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.039 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 36.039 * [backup-simplify]: Simplify (/ a -1/2) into (* -2 a) 36.039 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) in a 36.039 * [taylor]: Taking taylor expansion of (+ a b) in a 36.039 * [taylor]: Taking taylor expansion of a in a 36.039 * [backup-simplify]: Simplify 0 into 0 36.039 * [backup-simplify]: Simplify 1 into 1 36.039 * [taylor]: Taking taylor expansion of b in a 36.039 * [backup-simplify]: Simplify b into b 36.039 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.039 * [taylor]: Taking taylor expansion of 1/2 in a 36.039 * [backup-simplify]: Simplify 1/2 into 1/2 36.039 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.039 * [taylor]: Taking taylor expansion of a in a 36.039 * [backup-simplify]: Simplify 0 into 0 36.039 * [backup-simplify]: Simplify 1 into 1 36.040 * [backup-simplify]: Simplify (/ 1 1) into 1 36.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.040 * [taylor]: Taking taylor expansion of 1/2 in a 36.040 * [backup-simplify]: Simplify 1/2 into 1/2 36.040 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.040 * [taylor]: Taking taylor expansion of b in a 36.040 * [backup-simplify]: Simplify b into b 36.040 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.040 * [backup-simplify]: Simplify (+ 0 b) into b 36.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.041 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.041 * [backup-simplify]: Simplify (/ b 1/2) into (* 2 b) 36.041 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b)))) in a 36.041 * [taylor]: Taking taylor expansion of (+ a b) in a 36.041 * [taylor]: Taking taylor expansion of a in a 36.041 * [backup-simplify]: Simplify 0 into 0 36.041 * [backup-simplify]: Simplify 1 into 1 36.041 * [taylor]: Taking taylor expansion of b in a 36.041 * [backup-simplify]: Simplify b into b 36.041 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.041 * [taylor]: Taking taylor expansion of 1/2 in a 36.041 * [backup-simplify]: Simplify 1/2 into 1/2 36.041 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.041 * [taylor]: Taking taylor expansion of a in a 36.041 * [backup-simplify]: Simplify 0 into 0 36.041 * [backup-simplify]: Simplify 1 into 1 36.041 * [backup-simplify]: Simplify (/ 1 1) into 1 36.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.041 * [taylor]: Taking taylor expansion of 1/2 in a 36.041 * [backup-simplify]: Simplify 1/2 into 1/2 36.041 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.041 * [taylor]: Taking taylor expansion of b in a 36.042 * [backup-simplify]: Simplify b into b 36.042 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.042 * [backup-simplify]: Simplify (+ 0 b) into b 36.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.042 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.042 * [backup-simplify]: Simplify (/ b 1/2) into (* 2 b) 36.043 * [taylor]: Taking taylor expansion of (* 2 b) in b 36.043 * [taylor]: Taking taylor expansion of 2 in b 36.043 * [backup-simplify]: Simplify 2 into 2 36.043 * [taylor]: Taking taylor expansion of b in b 36.043 * [backup-simplify]: Simplify 0 into 0 36.043 * [backup-simplify]: Simplify 1 into 1 36.043 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 36.043 * [backup-simplify]: Simplify 2 into 2 36.044 * [backup-simplify]: Simplify (+ 1 0) into 1 36.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 36.045 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 36.045 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 36.045 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 36.046 * [backup-simplify]: Simplify (- (/ 1 1/2) (+ (* (* 2 b) (/ (- (* 1/2 (/ 1 b))) 1/2)))) into 4 36.046 * [taylor]: Taking taylor expansion of 4 in b 36.046 * [backup-simplify]: Simplify 4 into 4 36.046 * [backup-simplify]: Simplify 0 into 0 36.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 36.047 * [backup-simplify]: Simplify 0 into 0 36.048 * [backup-simplify]: Simplify (+ 0 0) into 0 36.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 36.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 36.050 * [backup-simplify]: Simplify (- 0) into 0 36.051 * [backup-simplify]: Simplify (+ 0 0) into 0 36.052 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* (* 2 b) (/ 0 1/2)) (* 4 (/ (- (* 1/2 (/ 1 b))) 1/2)))) into (* 4 (/ 1 b)) 36.052 * [taylor]: Taking taylor expansion of (* 4 (/ 1 b)) in b 36.052 * [taylor]: Taking taylor expansion of 4 in b 36.052 * [backup-simplify]: Simplify 4 into 4 36.052 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.052 * [taylor]: Taking taylor expansion of b in b 36.052 * [backup-simplify]: Simplify 0 into 0 36.052 * [backup-simplify]: Simplify 1 into 1 36.052 * [backup-simplify]: Simplify (/ 1 1) into 1 36.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.055 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 36.055 * [backup-simplify]: Simplify 0 into 0 36.055 * [backup-simplify]: Simplify 0 into 0 36.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.056 * [backup-simplify]: Simplify 0 into 0 36.056 * [backup-simplify]: Simplify (+ 0 0) into 0 36.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 36.060 * [backup-simplify]: Simplify (- 0) into 0 36.060 * [backup-simplify]: Simplify (+ 0 0) into 0 36.061 * [backup-simplify]: Simplify (- (/ 0 1/2) (+ (* (* 2 b) (/ 0 1/2)) (* 4 (/ 0 1/2)) (* (* 4 (/ 1 b)) (/ (- (* 1/2 (/ 1 b))) 1/2)))) into (* 4 (/ 1 (pow b 2))) 36.061 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 36.062 * [taylor]: Taking taylor expansion of 4 in b 36.062 * [backup-simplify]: Simplify 4 into 4 36.062 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 36.062 * [taylor]: Taking taylor expansion of (pow b 2) in b 36.062 * [taylor]: Taking taylor expansion of b in b 36.062 * [backup-simplify]: Simplify 0 into 0 36.062 * [backup-simplify]: Simplify 1 into 1 36.062 * [backup-simplify]: Simplify (* 1 1) into 1 36.062 * [backup-simplify]: Simplify (/ 1 1) into 1 36.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.068 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.068 * [backup-simplify]: Simplify 0 into 0 36.068 * [backup-simplify]: Simplify (* 2 (* b a)) into (* 2 (* a b)) 36.069 * [backup-simplify]: Simplify (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b)))) into (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 a) (* 1/2 b))) 36.069 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 a) (* 1/2 b))) in (a b) around 0 36.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 a) (* 1/2 b))) in b 36.069 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 36.069 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.069 * [taylor]: Taking taylor expansion of a in b 36.069 * [backup-simplify]: Simplify a into a 36.069 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.069 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.069 * [taylor]: Taking taylor expansion of b in b 36.069 * [backup-simplify]: Simplify 0 into 0 36.069 * [backup-simplify]: Simplify 1 into 1 36.069 * [backup-simplify]: Simplify (/ 1 1) into 1 36.069 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 36.069 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.069 * [taylor]: Taking taylor expansion of 1/2 in b 36.070 * [backup-simplify]: Simplify 1/2 into 1/2 36.070 * [taylor]: Taking taylor expansion of a in b 36.070 * [backup-simplify]: Simplify a into a 36.070 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.070 * [taylor]: Taking taylor expansion of 1/2 in b 36.070 * [backup-simplify]: Simplify 1/2 into 1/2 36.070 * [taylor]: Taking taylor expansion of b in b 36.070 * [backup-simplify]: Simplify 0 into 0 36.070 * [backup-simplify]: Simplify 1 into 1 36.070 * [backup-simplify]: Simplify (+ 0 1) into 1 36.070 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 36.071 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.071 * [backup-simplify]: Simplify (- 0) into 0 36.071 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 36.071 * [backup-simplify]: Simplify (/ 1 (* 1/2 a)) into (/ 2 a) 36.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 a) (* 1/2 b))) in a 36.071 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.071 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.071 * [taylor]: Taking taylor expansion of a in a 36.071 * [backup-simplify]: Simplify 0 into 0 36.071 * [backup-simplify]: Simplify 1 into 1 36.072 * [backup-simplify]: Simplify (/ 1 1) into 1 36.072 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.072 * [taylor]: Taking taylor expansion of b in a 36.072 * [backup-simplify]: Simplify b into b 36.072 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.072 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.072 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.072 * [taylor]: Taking taylor expansion of 1/2 in a 36.072 * [backup-simplify]: Simplify 1/2 into 1/2 36.072 * [taylor]: Taking taylor expansion of a in a 36.072 * [backup-simplify]: Simplify 0 into 0 36.072 * [backup-simplify]: Simplify 1 into 1 36.072 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.072 * [taylor]: Taking taylor expansion of 1/2 in a 36.072 * [backup-simplify]: Simplify 1/2 into 1/2 36.072 * [taylor]: Taking taylor expansion of b in a 36.072 * [backup-simplify]: Simplify b into b 36.072 * [backup-simplify]: Simplify (+ 1 0) into 1 36.073 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.073 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.073 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 36.073 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 36.073 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 b))) into (/ -2 b) 36.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 a) (* 1/2 b))) in a 36.073 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.073 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.073 * [taylor]: Taking taylor expansion of a in a 36.073 * [backup-simplify]: Simplify 0 into 0 36.073 * [backup-simplify]: Simplify 1 into 1 36.074 * [backup-simplify]: Simplify (/ 1 1) into 1 36.074 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.074 * [taylor]: Taking taylor expansion of b in a 36.074 * [backup-simplify]: Simplify b into b 36.074 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.074 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.074 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.074 * [taylor]: Taking taylor expansion of 1/2 in a 36.074 * [backup-simplify]: Simplify 1/2 into 1/2 36.074 * [taylor]: Taking taylor expansion of a in a 36.074 * [backup-simplify]: Simplify 0 into 0 36.074 * [backup-simplify]: Simplify 1 into 1 36.074 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.074 * [taylor]: Taking taylor expansion of 1/2 in a 36.074 * [backup-simplify]: Simplify 1/2 into 1/2 36.074 * [taylor]: Taking taylor expansion of b in a 36.074 * [backup-simplify]: Simplify b into b 36.074 * [backup-simplify]: Simplify (+ 1 0) into 1 36.075 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.075 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.075 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 36.075 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 36.075 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 b))) into (/ -2 b) 36.075 * [taylor]: Taking taylor expansion of (/ -2 b) in b 36.075 * [taylor]: Taking taylor expansion of -2 in b 36.075 * [backup-simplify]: Simplify -2 into -2 36.075 * [taylor]: Taking taylor expansion of b in b 36.075 * [backup-simplify]: Simplify 0 into 0 36.075 * [backup-simplify]: Simplify 1 into 1 36.076 * [backup-simplify]: Simplify (/ -2 1) into -2 36.076 * [backup-simplify]: Simplify -2 into -2 36.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.077 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 36.077 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.078 * [backup-simplify]: Simplify (- 0) into 0 36.079 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.079 * [backup-simplify]: Simplify (- (/ (/ 1 b) (- (* 1/2 b))) (+ (* (/ -2 b) (/ 1/2 (- (* 1/2 b)))))) into (- (* 4 (/ 1 (pow b 2)))) 36.079 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b 36.079 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 36.079 * [taylor]: Taking taylor expansion of 4 in b 36.079 * [backup-simplify]: Simplify 4 into 4 36.079 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 36.079 * [taylor]: Taking taylor expansion of (pow b 2) in b 36.079 * [taylor]: Taking taylor expansion of b in b 36.079 * [backup-simplify]: Simplify 0 into 0 36.079 * [backup-simplify]: Simplify 1 into 1 36.080 * [backup-simplify]: Simplify (* 1 1) into 1 36.080 * [backup-simplify]: Simplify (/ 1 1) into 1 36.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.082 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.083 * [backup-simplify]: Simplify (- 0) into 0 36.083 * [backup-simplify]: Simplify 0 into 0 36.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 36.084 * [backup-simplify]: Simplify 0 into 0 36.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.085 * [backup-simplify]: Simplify (+ 0 0) into 0 36.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.087 * [backup-simplify]: Simplify (- 0) into 0 36.087 * [backup-simplify]: Simplify (+ 0 0) into 0 36.088 * [backup-simplify]: Simplify (- (/ 0 (- (* 1/2 b))) (+ (* (/ -2 b) (/ 0 (- (* 1/2 b)))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 1/2 (- (* 1/2 b)))))) into (- (* 4 (/ 1 (pow b 3)))) 36.088 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b 36.088 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b 36.088 * [taylor]: Taking taylor expansion of 4 in b 36.088 * [backup-simplify]: Simplify 4 into 4 36.088 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 36.088 * [taylor]: Taking taylor expansion of (pow b 3) in b 36.088 * [taylor]: Taking taylor expansion of b in b 36.088 * [backup-simplify]: Simplify 0 into 0 36.088 * [backup-simplify]: Simplify 1 into 1 36.088 * [backup-simplify]: Simplify (* 1 1) into 1 36.089 * [backup-simplify]: Simplify (* 1 1) into 1 36.089 * [backup-simplify]: Simplify (/ 1 1) into 1 36.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.094 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 36.094 * [backup-simplify]: Simplify (- 0) into 0 36.094 * [backup-simplify]: Simplify 0 into 0 36.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.097 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 36.097 * [backup-simplify]: Simplify (- 0) into 0 36.097 * [backup-simplify]: Simplify 0 into 0 36.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.098 * [backup-simplify]: Simplify 0 into 0 36.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.099 * [backup-simplify]: Simplify (+ 0 0) into 0 36.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 36.101 * [backup-simplify]: Simplify (- 0) into 0 36.101 * [backup-simplify]: Simplify (+ 0 0) into 0 36.101 * [backup-simplify]: Simplify (- (/ 0 (- (* 1/2 b))) (+ (* (/ -2 b) (/ 0 (- (* 1/2 b)))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 (- (* 1/2 b)))) (* (- (* 4 (/ 1 (pow b 3)))) (/ 1/2 (- (* 1/2 b)))))) into (- (* 4 (/ 1 (pow b 4)))) 36.101 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b 36.101 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b 36.101 * [taylor]: Taking taylor expansion of 4 in b 36.101 * [backup-simplify]: Simplify 4 into 4 36.101 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 36.101 * [taylor]: Taking taylor expansion of (pow b 4) in b 36.101 * [taylor]: Taking taylor expansion of b in b 36.101 * [backup-simplify]: Simplify 0 into 0 36.102 * [backup-simplify]: Simplify 1 into 1 36.102 * [backup-simplify]: Simplify (* 1 1) into 1 36.102 * [backup-simplify]: Simplify (* 1 1) into 1 36.102 * [backup-simplify]: Simplify (/ 1 1) into 1 36.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.108 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.108 * [backup-simplify]: Simplify (- 0) into 0 36.108 * [backup-simplify]: Simplify 0 into 0 36.108 * [backup-simplify]: Simplify (* -2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) into (* -2 (* a b)) 36.109 * [backup-simplify]: Simplify (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b))))) into (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a)))) 36.109 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a)))) in (a b) around 0 36.109 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a)))) in b 36.109 * [taylor]: Taking taylor expansion of -1 in b 36.109 * [backup-simplify]: Simplify -1 into -1 36.109 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a))) in b 36.109 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 36.109 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.109 * [taylor]: Taking taylor expansion of a in b 36.109 * [backup-simplify]: Simplify a into a 36.109 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.109 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.109 * [taylor]: Taking taylor expansion of b in b 36.109 * [backup-simplify]: Simplify 0 into 0 36.109 * [backup-simplify]: Simplify 1 into 1 36.109 * [backup-simplify]: Simplify (/ 1 1) into 1 36.109 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 36.109 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.109 * [taylor]: Taking taylor expansion of 1/2 in b 36.109 * [backup-simplify]: Simplify 1/2 into 1/2 36.109 * [taylor]: Taking taylor expansion of b in b 36.109 * [backup-simplify]: Simplify 0 into 0 36.109 * [backup-simplify]: Simplify 1 into 1 36.109 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.109 * [taylor]: Taking taylor expansion of 1/2 in b 36.109 * [backup-simplify]: Simplify 1/2 into 1/2 36.109 * [taylor]: Taking taylor expansion of a in b 36.109 * [backup-simplify]: Simplify a into a 36.110 * [backup-simplify]: Simplify (+ 0 1) into 1 36.110 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.110 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 36.110 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 36.110 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 36.110 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 a))) into (/ -2 a) 36.110 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a)))) in a 36.110 * [taylor]: Taking taylor expansion of -1 in a 36.110 * [backup-simplify]: Simplify -1 into -1 36.110 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a))) in a 36.110 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.110 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.110 * [taylor]: Taking taylor expansion of a in a 36.110 * [backup-simplify]: Simplify 0 into 0 36.110 * [backup-simplify]: Simplify 1 into 1 36.111 * [backup-simplify]: Simplify (/ 1 1) into 1 36.111 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.111 * [taylor]: Taking taylor expansion of b in a 36.111 * [backup-simplify]: Simplify b into b 36.111 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.111 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.111 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.111 * [taylor]: Taking taylor expansion of 1/2 in a 36.111 * [backup-simplify]: Simplify 1/2 into 1/2 36.111 * [taylor]: Taking taylor expansion of b in a 36.111 * [backup-simplify]: Simplify b into b 36.111 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.111 * [taylor]: Taking taylor expansion of 1/2 in a 36.111 * [backup-simplify]: Simplify 1/2 into 1/2 36.111 * [taylor]: Taking taylor expansion of a in a 36.111 * [backup-simplify]: Simplify 0 into 0 36.111 * [backup-simplify]: Simplify 1 into 1 36.111 * [backup-simplify]: Simplify (+ 1 0) into 1 36.111 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.111 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.112 * [backup-simplify]: Simplify (- 0) into 0 36.112 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 36.112 * [backup-simplify]: Simplify (/ 1 (* 1/2 b)) into (/ 2 b) 36.112 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a)))) in a 36.112 * [taylor]: Taking taylor expansion of -1 in a 36.112 * [backup-simplify]: Simplify -1 into -1 36.112 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- (* 1/2 b) (* 1/2 a))) in a 36.112 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.112 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.112 * [taylor]: Taking taylor expansion of a in a 36.112 * [backup-simplify]: Simplify 0 into 0 36.112 * [backup-simplify]: Simplify 1 into 1 36.112 * [backup-simplify]: Simplify (/ 1 1) into 1 36.112 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.112 * [taylor]: Taking taylor expansion of b in a 36.112 * [backup-simplify]: Simplify b into b 36.112 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.112 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.112 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.112 * [taylor]: Taking taylor expansion of 1/2 in a 36.112 * [backup-simplify]: Simplify 1/2 into 1/2 36.112 * [taylor]: Taking taylor expansion of b in a 36.112 * [backup-simplify]: Simplify b into b 36.112 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.112 * [taylor]: Taking taylor expansion of 1/2 in a 36.112 * [backup-simplify]: Simplify 1/2 into 1/2 36.112 * [taylor]: Taking taylor expansion of a in a 36.112 * [backup-simplify]: Simplify 0 into 0 36.112 * [backup-simplify]: Simplify 1 into 1 36.113 * [backup-simplify]: Simplify (+ 1 0) into 1 36.113 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.113 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.113 * [backup-simplify]: Simplify (- 0) into 0 36.113 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 36.113 * [backup-simplify]: Simplify (/ 1 (* 1/2 b)) into (/ 2 b) 36.113 * [backup-simplify]: Simplify (* -1 (/ 2 b)) into (/ -2 b) 36.113 * [taylor]: Taking taylor expansion of (/ -2 b) in b 36.114 * [taylor]: Taking taylor expansion of -2 in b 36.114 * [backup-simplify]: Simplify -2 into -2 36.114 * [taylor]: Taking taylor expansion of b in b 36.114 * [backup-simplify]: Simplify 0 into 0 36.114 * [backup-simplify]: Simplify 1 into 1 36.114 * [backup-simplify]: Simplify (/ -2 1) into -2 36.114 * [backup-simplify]: Simplify -2 into -2 36.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.114 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 36.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.115 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.115 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.116 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 36.116 * [backup-simplify]: Simplify (- (/ (/ 1 b) (* 1/2 b)) (+ (* (/ 2 b) (/ -1/2 (* 1/2 b))))) into (* 4 (/ 1 (pow b 2))) 36.116 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 (pow b 2)))) (* 0 (/ 2 b))) into (- (* 4 (/ 1 (pow b 2)))) 36.116 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b 36.116 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b 36.116 * [taylor]: Taking taylor expansion of 4 in b 36.116 * [backup-simplify]: Simplify 4 into 4 36.116 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 36.116 * [taylor]: Taking taylor expansion of (pow b 2) in b 36.116 * [taylor]: Taking taylor expansion of b in b 36.116 * [backup-simplify]: Simplify 0 into 0 36.116 * [backup-simplify]: Simplify 1 into 1 36.116 * [backup-simplify]: Simplify (* 1 1) into 1 36.117 * [backup-simplify]: Simplify (/ 1 1) into 1 36.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.118 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 36.118 * [backup-simplify]: Simplify (- 0) into 0 36.118 * [backup-simplify]: Simplify 0 into 0 36.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 36.119 * [backup-simplify]: Simplify 0 into 0 36.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.119 * [backup-simplify]: Simplify (+ 0 0) into 0 36.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.121 * [backup-simplify]: Simplify (- 0) into 0 36.121 * [backup-simplify]: Simplify (+ 0 0) into 0 36.121 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 b)) (+ (* (/ 2 b) (/ 0 (* 1/2 b))) (* (* 4 (/ 1 (pow b 2))) (/ -1/2 (* 1/2 b))))) into (* 4 (/ 1 (pow b 3))) 36.121 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 (pow b 3)))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (* 0 (/ 2 b)))) into (- (* 4 (/ 1 (pow b 3)))) 36.121 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b 36.121 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b 36.122 * [taylor]: Taking taylor expansion of 4 in b 36.122 * [backup-simplify]: Simplify 4 into 4 36.122 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 36.122 * [taylor]: Taking taylor expansion of (pow b 3) in b 36.122 * [taylor]: Taking taylor expansion of b in b 36.122 * [backup-simplify]: Simplify 0 into 0 36.122 * [backup-simplify]: Simplify 1 into 1 36.122 * [backup-simplify]: Simplify (* 1 1) into 1 36.122 * [backup-simplify]: Simplify (* 1 1) into 1 36.122 * [backup-simplify]: Simplify (/ 1 1) into 1 36.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.126 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 36.126 * [backup-simplify]: Simplify (- 0) into 0 36.126 * [backup-simplify]: Simplify 0 into 0 36.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.128 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 36.128 * [backup-simplify]: Simplify (- 0) into 0 36.128 * [backup-simplify]: Simplify 0 into 0 36.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.128 * [backup-simplify]: Simplify 0 into 0 36.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.129 * [backup-simplify]: Simplify (+ 0 0) into 0 36.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 36.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.131 * [backup-simplify]: Simplify (- 0) into 0 36.131 * [backup-simplify]: Simplify (+ 0 0) into 0 36.132 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 b)) (+ (* (/ 2 b) (/ 0 (* 1/2 b))) (* (* 4 (/ 1 (pow b 2))) (/ 0 (* 1/2 b))) (* (* 4 (/ 1 (pow b 3))) (/ -1/2 (* 1/2 b))))) into (* 4 (/ 1 (pow b 4))) 36.132 * [backup-simplify]: Simplify (+ (* -1 (* 4 (/ 1 (pow b 4)))) (+ (* 0 (* 4 (/ 1 (pow b 3)))) (+ (* 0 (* 4 (/ 1 (pow b 2)))) (* 0 (/ 2 b))))) into (- (* 4 (/ 1 (pow b 4)))) 36.132 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b 36.132 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b 36.132 * [taylor]: Taking taylor expansion of 4 in b 36.132 * [backup-simplify]: Simplify 4 into 4 36.132 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 36.132 * [taylor]: Taking taylor expansion of (pow b 4) in b 36.132 * [taylor]: Taking taylor expansion of b in b 36.132 * [backup-simplify]: Simplify 0 into 0 36.132 * [backup-simplify]: Simplify 1 into 1 36.132 * [backup-simplify]: Simplify (* 1 1) into 1 36.136 * [backup-simplify]: Simplify (* 1 1) into 1 36.137 * [backup-simplify]: Simplify (/ 1 1) into 1 36.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.142 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.143 * [backup-simplify]: Simplify (- 0) into 0 36.143 * [backup-simplify]: Simplify 0 into 0 36.143 * [backup-simplify]: Simplify (* -2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) into (* -2 (* a b)) 36.143 * * * * [progress]: [ 3 / 4 ] generating series at (2) 36.144 * [backup-simplify]: Simplify (/ (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (- b a)) into (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) 36.144 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in (a b) around 0 36.144 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 36.144 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in b 36.144 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 36.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 36.144 * [taylor]: Taking taylor expansion of 1/2 in b 36.144 * [backup-simplify]: Simplify 1/2 into 1/2 36.144 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.144 * [taylor]: Taking taylor expansion of a in b 36.144 * [backup-simplify]: Simplify a into a 36.144 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 36.144 * [taylor]: Taking taylor expansion of 1/2 in b 36.144 * [backup-simplify]: Simplify 1/2 into 1/2 36.144 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.144 * [taylor]: Taking taylor expansion of b in b 36.144 * [backup-simplify]: Simplify 0 into 0 36.144 * [backup-simplify]: Simplify 1 into 1 36.145 * [backup-simplify]: Simplify (/ 1 1) into 1 36.145 * [taylor]: Taking taylor expansion of PI in b 36.145 * [backup-simplify]: Simplify PI into PI 36.145 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 36.145 * [taylor]: Taking taylor expansion of (- b a) in b 36.145 * [taylor]: Taking taylor expansion of b in b 36.145 * [backup-simplify]: Simplify 0 into 0 36.145 * [backup-simplify]: Simplify 1 into 1 36.145 * [taylor]: Taking taylor expansion of a in b 36.145 * [backup-simplify]: Simplify a into a 36.145 * [taylor]: Taking taylor expansion of (+ a b) in b 36.145 * [taylor]: Taking taylor expansion of a in b 36.145 * [backup-simplify]: Simplify a into a 36.145 * [taylor]: Taking taylor expansion of b in b 36.145 * [backup-simplify]: Simplify 0 into 0 36.145 * [backup-simplify]: Simplify 1 into 1 36.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.146 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.146 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 36.147 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 36.147 * [backup-simplify]: Simplify (- a) into (- a) 36.147 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 36.147 * [backup-simplify]: Simplify (+ a 0) into a 36.147 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 36.148 * [backup-simplify]: Simplify (/ (* -1/2 PI) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 36.148 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 36.148 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in a 36.148 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.148 * [taylor]: Taking taylor expansion of 1/2 in a 36.148 * [backup-simplify]: Simplify 1/2 into 1/2 36.148 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.148 * [taylor]: Taking taylor expansion of a in a 36.148 * [backup-simplify]: Simplify 0 into 0 36.148 * [backup-simplify]: Simplify 1 into 1 36.148 * [backup-simplify]: Simplify (/ 1 1) into 1 36.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.148 * [taylor]: Taking taylor expansion of 1/2 in a 36.148 * [backup-simplify]: Simplify 1/2 into 1/2 36.148 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.148 * [taylor]: Taking taylor expansion of b in a 36.148 * [backup-simplify]: Simplify b into b 36.149 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.149 * [taylor]: Taking taylor expansion of PI in a 36.149 * [backup-simplify]: Simplify PI into PI 36.149 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 36.149 * [taylor]: Taking taylor expansion of (- b a) in a 36.149 * [taylor]: Taking taylor expansion of b in a 36.149 * [backup-simplify]: Simplify b into b 36.149 * [taylor]: Taking taylor expansion of a in a 36.149 * [backup-simplify]: Simplify 0 into 0 36.149 * [backup-simplify]: Simplify 1 into 1 36.149 * [taylor]: Taking taylor expansion of (+ a b) in a 36.149 * [taylor]: Taking taylor expansion of a in a 36.149 * [backup-simplify]: Simplify 0 into 0 36.149 * [backup-simplify]: Simplify 1 into 1 36.149 * [taylor]: Taking taylor expansion of b in a 36.149 * [backup-simplify]: Simplify b into b 36.149 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.150 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.150 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 36.151 * [backup-simplify]: Simplify (- 0) into 0 36.151 * [backup-simplify]: Simplify (+ b 0) into b 36.151 * [backup-simplify]: Simplify (+ 0 b) into b 36.151 * [backup-simplify]: Simplify (* b b) into (pow b 2) 36.151 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 36.151 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 36.151 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in a 36.151 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.152 * [taylor]: Taking taylor expansion of 1/2 in a 36.152 * [backup-simplify]: Simplify 1/2 into 1/2 36.152 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.152 * [taylor]: Taking taylor expansion of a in a 36.152 * [backup-simplify]: Simplify 0 into 0 36.152 * [backup-simplify]: Simplify 1 into 1 36.152 * [backup-simplify]: Simplify (/ 1 1) into 1 36.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.152 * [taylor]: Taking taylor expansion of 1/2 in a 36.152 * [backup-simplify]: Simplify 1/2 into 1/2 36.152 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.152 * [taylor]: Taking taylor expansion of b in a 36.152 * [backup-simplify]: Simplify b into b 36.152 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.152 * [taylor]: Taking taylor expansion of PI in a 36.152 * [backup-simplify]: Simplify PI into PI 36.152 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 36.152 * [taylor]: Taking taylor expansion of (- b a) in a 36.152 * [taylor]: Taking taylor expansion of b in a 36.152 * [backup-simplify]: Simplify b into b 36.152 * [taylor]: Taking taylor expansion of a in a 36.152 * [backup-simplify]: Simplify 0 into 0 36.153 * [backup-simplify]: Simplify 1 into 1 36.153 * [taylor]: Taking taylor expansion of (+ a b) in a 36.153 * [taylor]: Taking taylor expansion of a in a 36.153 * [backup-simplify]: Simplify 0 into 0 36.153 * [backup-simplify]: Simplify 1 into 1 36.153 * [taylor]: Taking taylor expansion of b in a 36.153 * [backup-simplify]: Simplify b into b 36.153 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.154 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.154 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 36.154 * [backup-simplify]: Simplify (- 0) into 0 36.154 * [backup-simplify]: Simplify (+ b 0) into b 36.154 * [backup-simplify]: Simplify (+ 0 b) into b 36.155 * [backup-simplify]: Simplify (* b b) into (pow b 2) 36.155 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 36.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 36.156 * [taylor]: Taking taylor expansion of 1/2 in b 36.156 * [backup-simplify]: Simplify 1/2 into 1/2 36.156 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 36.156 * [taylor]: Taking taylor expansion of PI in b 36.156 * [backup-simplify]: Simplify PI into PI 36.156 * [taylor]: Taking taylor expansion of (pow b 2) in b 36.156 * [taylor]: Taking taylor expansion of b in b 36.156 * [backup-simplify]: Simplify 0 into 0 36.156 * [backup-simplify]: Simplify 1 into 1 36.156 * [backup-simplify]: Simplify (* 1 1) into 1 36.157 * [backup-simplify]: Simplify (/ PI 1) into PI 36.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 36.159 * [backup-simplify]: Simplify 0 into 0 36.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 36.161 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 36.161 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 36.161 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 36.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* (- (* 1/2 (/ 1 b))) PI)) into (- (* 1/2 (/ PI b))) 36.162 * [backup-simplify]: Simplify (+ 1 0) into 1 36.162 * [backup-simplify]: Simplify (- 1) into -1 36.163 * [backup-simplify]: Simplify (+ 0 -1) into -1 36.163 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 36.163 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 36.163 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 36.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 36.163 * [taylor]: Taking taylor expansion of 1/2 in b 36.163 * [backup-simplify]: Simplify 1/2 into 1/2 36.163 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 36.163 * [taylor]: Taking taylor expansion of PI in b 36.163 * [backup-simplify]: Simplify PI into PI 36.163 * [taylor]: Taking taylor expansion of (pow b 3) in b 36.163 * [taylor]: Taking taylor expansion of b in b 36.163 * [backup-simplify]: Simplify 0 into 0 36.163 * [backup-simplify]: Simplify 1 into 1 36.164 * [backup-simplify]: Simplify (* 1 1) into 1 36.164 * [backup-simplify]: Simplify (* 1 1) into 1 36.165 * [backup-simplify]: Simplify (/ PI 1) into PI 36.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 36.169 * [backup-simplify]: Simplify (- 0) into 0 36.169 * [backup-simplify]: Simplify 0 into 0 36.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 36.171 * [backup-simplify]: Simplify 0 into 0 36.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 36.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 36.173 * [backup-simplify]: Simplify (- 0) into 0 36.173 * [backup-simplify]: Simplify (+ 0 0) into 0 36.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 b))) 0) (* 0 PI))) into 0 36.174 * [backup-simplify]: Simplify (+ 0 0) into 0 36.174 * [backup-simplify]: Simplify (- 0) into 0 36.174 * [backup-simplify]: Simplify (+ 0 0) into 0 36.175 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 36.175 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 36.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 36.175 * [taylor]: Taking taylor expansion of 1/2 in b 36.175 * [backup-simplify]: Simplify 1/2 into 1/2 36.175 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 36.175 * [taylor]: Taking taylor expansion of PI in b 36.175 * [backup-simplify]: Simplify PI into PI 36.175 * [taylor]: Taking taylor expansion of (pow b 4) in b 36.176 * [taylor]: Taking taylor expansion of b in b 36.176 * [backup-simplify]: Simplify 0 into 0 36.176 * [backup-simplify]: Simplify 1 into 1 36.176 * [backup-simplify]: Simplify (* 1 1) into 1 36.176 * [backup-simplify]: Simplify (* 1 1) into 1 36.176 * [backup-simplify]: Simplify (/ PI 1) into PI 36.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 36.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 36.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.182 * [backup-simplify]: Simplify 0 into 0 36.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.185 * [backup-simplify]: Simplify (- 0) into 0 36.185 * [backup-simplify]: Simplify 0 into 0 36.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.187 * [backup-simplify]: Simplify 0 into 0 36.187 * [backup-simplify]: Simplify 0 into 0 36.187 * [backup-simplify]: Simplify (/ (/ (/ PI 1) (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))))) (- (/ 1 b) (/ 1 a))) into (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) 36.187 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 36.187 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 36.187 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in b 36.187 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 36.187 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.187 * [taylor]: Taking taylor expansion of 1/2 in b 36.187 * [backup-simplify]: Simplify 1/2 into 1/2 36.187 * [taylor]: Taking taylor expansion of a in b 36.187 * [backup-simplify]: Simplify a into a 36.187 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.188 * [taylor]: Taking taylor expansion of 1/2 in b 36.188 * [backup-simplify]: Simplify 1/2 into 1/2 36.188 * [taylor]: Taking taylor expansion of b in b 36.188 * [backup-simplify]: Simplify 0 into 0 36.188 * [backup-simplify]: Simplify 1 into 1 36.188 * [taylor]: Taking taylor expansion of PI in b 36.188 * [backup-simplify]: Simplify PI into PI 36.188 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 36.188 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 36.188 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.188 * [taylor]: Taking taylor expansion of a in b 36.188 * [backup-simplify]: Simplify a into a 36.188 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.188 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.188 * [taylor]: Taking taylor expansion of b in b 36.188 * [backup-simplify]: Simplify 0 into 0 36.188 * [backup-simplify]: Simplify 1 into 1 36.188 * [backup-simplify]: Simplify (/ 1 1) into 1 36.188 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 36.188 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.188 * [taylor]: Taking taylor expansion of b in b 36.188 * [backup-simplify]: Simplify 0 into 0 36.188 * [backup-simplify]: Simplify 1 into 1 36.188 * [backup-simplify]: Simplify (/ 1 1) into 1 36.188 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.188 * [taylor]: Taking taylor expansion of a in b 36.188 * [backup-simplify]: Simplify a into a 36.188 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.188 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 36.189 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.189 * [backup-simplify]: Simplify (- 0) into 0 36.189 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 36.189 * [backup-simplify]: Simplify (* (* 1/2 a) PI) into (* 1/2 (* a PI)) 36.189 * [backup-simplify]: Simplify (+ 0 1) into 1 36.190 * [backup-simplify]: Simplify (+ 1 0) into 1 36.190 * [backup-simplify]: Simplify (* 1 1) into 1 36.190 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 36.190 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 36.190 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in a 36.190 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.190 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.190 * [taylor]: Taking taylor expansion of 1/2 in a 36.190 * [backup-simplify]: Simplify 1/2 into 1/2 36.190 * [taylor]: Taking taylor expansion of a in a 36.190 * [backup-simplify]: Simplify 0 into 0 36.190 * [backup-simplify]: Simplify 1 into 1 36.190 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.190 * [taylor]: Taking taylor expansion of 1/2 in a 36.190 * [backup-simplify]: Simplify 1/2 into 1/2 36.190 * [taylor]: Taking taylor expansion of b in a 36.190 * [backup-simplify]: Simplify b into b 36.190 * [taylor]: Taking taylor expansion of PI in a 36.190 * [backup-simplify]: Simplify PI into PI 36.190 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 36.190 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.190 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.190 * [taylor]: Taking taylor expansion of a in a 36.190 * [backup-simplify]: Simplify 0 into 0 36.190 * [backup-simplify]: Simplify 1 into 1 36.191 * [backup-simplify]: Simplify (/ 1 1) into 1 36.191 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.191 * [taylor]: Taking taylor expansion of b in a 36.191 * [backup-simplify]: Simplify b into b 36.191 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.191 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 36.191 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.191 * [taylor]: Taking taylor expansion of b in a 36.191 * [backup-simplify]: Simplify b into b 36.191 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.191 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.191 * [taylor]: Taking taylor expansion of a in a 36.191 * [backup-simplify]: Simplify 0 into 0 36.191 * [backup-simplify]: Simplify 1 into 1 36.191 * [backup-simplify]: Simplify (/ 1 1) into 1 36.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.191 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.191 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 36.191 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 36.192 * [backup-simplify]: Simplify (* (- (* 1/2 b)) PI) into (* -1/2 (* PI b)) 36.192 * [backup-simplify]: Simplify (+ 1 0) into 1 36.192 * [backup-simplify]: Simplify (- 1) into -1 36.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 36.193 * [backup-simplify]: Simplify (* 1 -1) into -1 36.193 * [backup-simplify]: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) 36.193 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 36.193 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in a 36.193 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.193 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.193 * [taylor]: Taking taylor expansion of 1/2 in a 36.193 * [backup-simplify]: Simplify 1/2 into 1/2 36.193 * [taylor]: Taking taylor expansion of a in a 36.193 * [backup-simplify]: Simplify 0 into 0 36.193 * [backup-simplify]: Simplify 1 into 1 36.193 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.193 * [taylor]: Taking taylor expansion of 1/2 in a 36.193 * [backup-simplify]: Simplify 1/2 into 1/2 36.193 * [taylor]: Taking taylor expansion of b in a 36.193 * [backup-simplify]: Simplify b into b 36.193 * [taylor]: Taking taylor expansion of PI in a 36.193 * [backup-simplify]: Simplify PI into PI 36.193 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 36.193 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.193 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.193 * [taylor]: Taking taylor expansion of a in a 36.193 * [backup-simplify]: Simplify 0 into 0 36.193 * [backup-simplify]: Simplify 1 into 1 36.193 * [backup-simplify]: Simplify (/ 1 1) into 1 36.193 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.193 * [taylor]: Taking taylor expansion of b in a 36.193 * [backup-simplify]: Simplify b into b 36.193 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.193 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 36.193 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.193 * [taylor]: Taking taylor expansion of b in a 36.193 * [backup-simplify]: Simplify b into b 36.193 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.193 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.193 * [taylor]: Taking taylor expansion of a in a 36.193 * [backup-simplify]: Simplify 0 into 0 36.193 * [backup-simplify]: Simplify 1 into 1 36.194 * [backup-simplify]: Simplify (/ 1 1) into 1 36.194 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.194 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.194 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 36.194 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 36.194 * [backup-simplify]: Simplify (* (- (* 1/2 b)) PI) into (* -1/2 (* PI b)) 36.194 * [backup-simplify]: Simplify (+ 1 0) into 1 36.195 * [backup-simplify]: Simplify (- 1) into -1 36.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 36.195 * [backup-simplify]: Simplify (* 1 -1) into -1 36.195 * [backup-simplify]: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) 36.195 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 36.195 * [taylor]: Taking taylor expansion of 1/2 in b 36.195 * [backup-simplify]: Simplify 1/2 into 1/2 36.195 * [taylor]: Taking taylor expansion of (* b PI) in b 36.195 * [taylor]: Taking taylor expansion of b in b 36.195 * [backup-simplify]: Simplify 0 into 0 36.195 * [backup-simplify]: Simplify 1 into 1 36.195 * [taylor]: Taking taylor expansion of PI in b 36.196 * [backup-simplify]: Simplify PI into PI 36.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 36.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 36.197 * [backup-simplify]: Simplify (* 0 PI) into 0 36.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 36.198 * [backup-simplify]: Simplify 0 into 0 36.199 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.200 * [backup-simplify]: Simplify (- 0) into 0 36.200 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.201 * [backup-simplify]: Simplify (+ (* (- (* 1/2 b)) 0) (* 1/2 PI)) into (* 1/2 PI) 36.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.202 * [backup-simplify]: Simplify (- 0) into 0 36.202 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 36.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.203 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 36.203 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 36.205 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 36.205 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 36.205 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 36.205 * [taylor]: Taking taylor expansion of 1/2 in b 36.205 * [backup-simplify]: Simplify 1/2 into 1/2 36.205 * [taylor]: Taking taylor expansion of PI in b 36.205 * [backup-simplify]: Simplify PI into PI 36.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 36.207 * [backup-simplify]: Simplify (- 0) into 0 36.207 * [backup-simplify]: Simplify 0 into 0 36.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 36.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 36.210 * [backup-simplify]: Simplify 0 into 0 36.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.212 * [backup-simplify]: Simplify (- 0) into 0 36.213 * [backup-simplify]: Simplify (+ 0 0) into 0 36.214 * [backup-simplify]: Simplify (+ (* (- (* 1/2 b)) 0) (+ (* 1/2 0) (* 0 PI))) into 0 36.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.215 * [backup-simplify]: Simplify (- 0) into 0 36.215 * [backup-simplify]: Simplify (+ 0 0) into 0 36.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.217 * [backup-simplify]: Simplify (+ 0 0) into 0 36.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 36.220 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 36.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 36.220 * [taylor]: Taking taylor expansion of 1/2 in b 36.220 * [backup-simplify]: Simplify 1/2 into 1/2 36.220 * [taylor]: Taking taylor expansion of (/ PI b) in b 36.220 * [taylor]: Taking taylor expansion of PI in b 36.220 * [backup-simplify]: Simplify PI into PI 36.220 * [taylor]: Taking taylor expansion of b in b 36.220 * [backup-simplify]: Simplify 0 into 0 36.220 * [backup-simplify]: Simplify 1 into 1 36.220 * [backup-simplify]: Simplify (/ PI 1) into PI 36.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.225 * [backup-simplify]: Simplify 0 into 0 36.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.226 * [backup-simplify]: Simplify (- 0) into 0 36.226 * [backup-simplify]: Simplify 0 into 0 36.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 36.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 36.229 * [backup-simplify]: Simplify 0 into 0 36.229 * [backup-simplify]: Simplify 0 into 0 36.230 * [backup-simplify]: Simplify (/ (/ (/ PI 1) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 36.230 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 36.230 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 36.230 * [taylor]: Taking taylor expansion of -1 in b 36.230 * [backup-simplify]: Simplify -1 into -1 36.230 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 36.230 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in b 36.230 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 36.230 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.230 * [taylor]: Taking taylor expansion of 1/2 in b 36.230 * [backup-simplify]: Simplify 1/2 into 1/2 36.230 * [taylor]: Taking taylor expansion of b in b 36.230 * [backup-simplify]: Simplify 0 into 0 36.230 * [backup-simplify]: Simplify 1 into 1 36.231 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.231 * [taylor]: Taking taylor expansion of 1/2 in b 36.231 * [backup-simplify]: Simplify 1/2 into 1/2 36.231 * [taylor]: Taking taylor expansion of a in b 36.231 * [backup-simplify]: Simplify a into a 36.231 * [taylor]: Taking taylor expansion of PI in b 36.231 * [backup-simplify]: Simplify PI into PI 36.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 36.231 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 36.231 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.231 * [taylor]: Taking taylor expansion of a in b 36.231 * [backup-simplify]: Simplify a into a 36.231 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.231 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.231 * [taylor]: Taking taylor expansion of b in b 36.231 * [backup-simplify]: Simplify 0 into 0 36.231 * [backup-simplify]: Simplify 1 into 1 36.231 * [backup-simplify]: Simplify (/ 1 1) into 1 36.231 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 36.231 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.231 * [taylor]: Taking taylor expansion of a in b 36.231 * [backup-simplify]: Simplify a into a 36.231 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.232 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.232 * [taylor]: Taking taylor expansion of b in b 36.232 * [backup-simplify]: Simplify 0 into 0 36.232 * [backup-simplify]: Simplify 1 into 1 36.232 * [backup-simplify]: Simplify (/ 1 1) into 1 36.232 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.232 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 36.233 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 36.233 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 36.233 * [backup-simplify]: Simplify (* (- (* 1/2 a)) PI) into (* -1/2 (* a PI)) 36.233 * [backup-simplify]: Simplify (+ 0 1) into 1 36.234 * [backup-simplify]: Simplify (- 1) into -1 36.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 36.234 * [backup-simplify]: Simplify (* 1 -1) into -1 36.234 * [backup-simplify]: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) 36.235 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 36.235 * [taylor]: Taking taylor expansion of -1 in a 36.235 * [backup-simplify]: Simplify -1 into -1 36.235 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 36.235 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in a 36.235 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.235 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.235 * [taylor]: Taking taylor expansion of 1/2 in a 36.235 * [backup-simplify]: Simplify 1/2 into 1/2 36.235 * [taylor]: Taking taylor expansion of b in a 36.235 * [backup-simplify]: Simplify b into b 36.235 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.235 * [taylor]: Taking taylor expansion of 1/2 in a 36.235 * [backup-simplify]: Simplify 1/2 into 1/2 36.235 * [taylor]: Taking taylor expansion of a in a 36.235 * [backup-simplify]: Simplify 0 into 0 36.235 * [backup-simplify]: Simplify 1 into 1 36.235 * [taylor]: Taking taylor expansion of PI in a 36.235 * [backup-simplify]: Simplify PI into PI 36.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 36.235 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.235 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.235 * [taylor]: Taking taylor expansion of a in a 36.235 * [backup-simplify]: Simplify 0 into 0 36.235 * [backup-simplify]: Simplify 1 into 1 36.236 * [backup-simplify]: Simplify (/ 1 1) into 1 36.236 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.236 * [taylor]: Taking taylor expansion of b in a 36.236 * [backup-simplify]: Simplify b into b 36.236 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.236 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 36.236 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.236 * [taylor]: Taking taylor expansion of a in a 36.236 * [backup-simplify]: Simplify 0 into 0 36.236 * [backup-simplify]: Simplify 1 into 1 36.236 * [backup-simplify]: Simplify (/ 1 1) into 1 36.236 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.236 * [taylor]: Taking taylor expansion of b in a 36.236 * [backup-simplify]: Simplify b into b 36.236 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.236 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.237 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.237 * [backup-simplify]: Simplify (- 0) into 0 36.237 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 36.237 * [backup-simplify]: Simplify (* (* 1/2 b) PI) into (* 1/2 (* PI b)) 36.238 * [backup-simplify]: Simplify (+ 1 0) into 1 36.238 * [backup-simplify]: Simplify (+ 1 0) into 1 36.239 * [backup-simplify]: Simplify (* 1 1) into 1 36.239 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 36.239 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 36.239 * [taylor]: Taking taylor expansion of -1 in a 36.239 * [backup-simplify]: Simplify -1 into -1 36.239 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 36.239 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in a 36.239 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.239 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.239 * [taylor]: Taking taylor expansion of 1/2 in a 36.239 * [backup-simplify]: Simplify 1/2 into 1/2 36.239 * [taylor]: Taking taylor expansion of b in a 36.239 * [backup-simplify]: Simplify b into b 36.239 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.239 * [taylor]: Taking taylor expansion of 1/2 in a 36.239 * [backup-simplify]: Simplify 1/2 into 1/2 36.239 * [taylor]: Taking taylor expansion of a in a 36.239 * [backup-simplify]: Simplify 0 into 0 36.239 * [backup-simplify]: Simplify 1 into 1 36.239 * [taylor]: Taking taylor expansion of PI in a 36.240 * [backup-simplify]: Simplify PI into PI 36.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 36.240 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 36.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.240 * [taylor]: Taking taylor expansion of a in a 36.240 * [backup-simplify]: Simplify 0 into 0 36.240 * [backup-simplify]: Simplify 1 into 1 36.240 * [backup-simplify]: Simplify (/ 1 1) into 1 36.240 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.240 * [taylor]: Taking taylor expansion of b in a 36.240 * [backup-simplify]: Simplify b into b 36.240 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.240 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 36.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.240 * [taylor]: Taking taylor expansion of a in a 36.240 * [backup-simplify]: Simplify 0 into 0 36.240 * [backup-simplify]: Simplify 1 into 1 36.241 * [backup-simplify]: Simplify (/ 1 1) into 1 36.241 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.241 * [taylor]: Taking taylor expansion of b in a 36.241 * [backup-simplify]: Simplify b into b 36.241 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.241 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.241 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.242 * [backup-simplify]: Simplify (- 0) into 0 36.242 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 36.242 * [backup-simplify]: Simplify (* (* 1/2 b) PI) into (* 1/2 (* PI b)) 36.242 * [backup-simplify]: Simplify (+ 1 0) into 1 36.243 * [backup-simplify]: Simplify (+ 1 0) into 1 36.243 * [backup-simplify]: Simplify (* 1 1) into 1 36.244 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 36.244 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 36.244 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 36.244 * [taylor]: Taking taylor expansion of -1/2 in b 36.244 * [backup-simplify]: Simplify -1/2 into -1/2 36.244 * [taylor]: Taking taylor expansion of (* PI b) in b 36.244 * [taylor]: Taking taylor expansion of PI in b 36.244 * [backup-simplify]: Simplify PI into PI 36.244 * [taylor]: Taking taylor expansion of b in b 36.244 * [backup-simplify]: Simplify 0 into 0 36.244 * [backup-simplify]: Simplify 1 into 1 36.245 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 36.247 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 36.247 * [backup-simplify]: Simplify (* PI 0) into 0 36.248 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 36.248 * [backup-simplify]: Simplify 0 into 0 36.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.249 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.250 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.250 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 36.251 * [backup-simplify]: Simplify (+ (* (* 1/2 b) 0) (* -1/2 PI)) into (- (* 1/2 PI)) 36.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.252 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 36.252 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 36.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.253 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 36.254 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 36.257 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 36.264 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 36.264 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 36.264 * [taylor]: Taking taylor expansion of 1/2 in b 36.264 * [backup-simplify]: Simplify 1/2 into 1/2 36.264 * [taylor]: Taking taylor expansion of PI in b 36.264 * [backup-simplify]: Simplify PI into PI 36.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 36.266 * [backup-simplify]: Simplify 0 into 0 36.267 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.268 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 36.268 * [backup-simplify]: Simplify 0 into 0 36.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.270 * [backup-simplify]: Simplify (- 0) into 0 36.270 * [backup-simplify]: Simplify (+ 0 0) into 0 36.271 * [backup-simplify]: Simplify (+ (* (* 1/2 b) 0) (+ (* -1/2 0) (* 0 PI))) into 0 36.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.272 * [backup-simplify]: Simplify (- 0) into 0 36.272 * [backup-simplify]: Simplify (+ 0 0) into 0 36.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.273 * [backup-simplify]: Simplify (+ 0 0) into 0 36.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 36.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 36.275 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 36.275 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 36.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 36.275 * [taylor]: Taking taylor expansion of 1/2 in b 36.275 * [backup-simplify]: Simplify 1/2 into 1/2 36.275 * [taylor]: Taking taylor expansion of (/ PI b) in b 36.275 * [taylor]: Taking taylor expansion of PI in b 36.275 * [backup-simplify]: Simplify PI into PI 36.275 * [taylor]: Taking taylor expansion of b in b 36.275 * [backup-simplify]: Simplify 0 into 0 36.275 * [backup-simplify]: Simplify 1 into 1 36.275 * [backup-simplify]: Simplify (/ PI 1) into PI 36.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 36.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.278 * [backup-simplify]: Simplify (- 0) into 0 36.278 * [backup-simplify]: Simplify 0 into 0 36.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 36.279 * [backup-simplify]: Simplify 0 into 0 36.279 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 36.280 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 36.280 * [backup-simplify]: Simplify 0 into 0 36.280 * [backup-simplify]: Simplify 0 into 0 36.280 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 36.280 * [backup-simplify]: Simplify (- (/ 1/2 a) (/ 1/2 b)) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 36.280 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in (a b) around 0 36.281 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 36.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 36.281 * [taylor]: Taking taylor expansion of 1/2 in b 36.281 * [backup-simplify]: Simplify 1/2 into 1/2 36.281 * [taylor]: Taking taylor expansion of (/ 1 a) in b 36.281 * [taylor]: Taking taylor expansion of a in b 36.281 * [backup-simplify]: Simplify a into a 36.281 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 36.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 36.281 * [taylor]: Taking taylor expansion of 1/2 in b 36.281 * [backup-simplify]: Simplify 1/2 into 1/2 36.281 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.281 * [taylor]: Taking taylor expansion of b in b 36.281 * [backup-simplify]: Simplify 0 into 0 36.281 * [backup-simplify]: Simplify 1 into 1 36.281 * [backup-simplify]: Simplify (/ 1 1) into 1 36.281 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.281 * [taylor]: Taking taylor expansion of 1/2 in a 36.281 * [backup-simplify]: Simplify 1/2 into 1/2 36.281 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.281 * [taylor]: Taking taylor expansion of a in a 36.281 * [backup-simplify]: Simplify 0 into 0 36.281 * [backup-simplify]: Simplify 1 into 1 36.281 * [backup-simplify]: Simplify (/ 1 1) into 1 36.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.281 * [taylor]: Taking taylor expansion of 1/2 in a 36.281 * [backup-simplify]: Simplify 1/2 into 1/2 36.281 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.281 * [taylor]: Taking taylor expansion of b in a 36.281 * [backup-simplify]: Simplify b into b 36.281 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.282 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 36.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 36.282 * [taylor]: Taking taylor expansion of 1/2 in a 36.282 * [backup-simplify]: Simplify 1/2 into 1/2 36.282 * [taylor]: Taking taylor expansion of (/ 1 a) in a 36.282 * [taylor]: Taking taylor expansion of a in a 36.282 * [backup-simplify]: Simplify 0 into 0 36.282 * [backup-simplify]: Simplify 1 into 1 36.282 * [backup-simplify]: Simplify (/ 1 1) into 1 36.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 36.282 * [taylor]: Taking taylor expansion of 1/2 in a 36.282 * [backup-simplify]: Simplify 1/2 into 1/2 36.282 * [taylor]: Taking taylor expansion of (/ 1 b) in a 36.282 * [taylor]: Taking taylor expansion of b in a 36.282 * [backup-simplify]: Simplify b into b 36.282 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 36.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.283 * [taylor]: Taking taylor expansion of 1/2 in b 36.283 * [backup-simplify]: Simplify 1/2 into 1/2 36.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 36.284 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 36.284 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 36.284 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 36.284 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b 36.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 36.284 * [taylor]: Taking taylor expansion of 1/2 in b 36.284 * [backup-simplify]: Simplify 1/2 into 1/2 36.284 * [taylor]: Taking taylor expansion of (/ 1 b) in b 36.284 * [taylor]: Taking taylor expansion of b in b 36.284 * [backup-simplify]: Simplify 0 into 0 36.284 * [backup-simplify]: Simplify 1 into 1 36.284 * [backup-simplify]: Simplify (/ 1 1) into 1 36.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 36.285 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.285 * [backup-simplify]: Simplify -1/2 into -1/2 36.285 * [backup-simplify]: Simplify 1/2 into 1/2 36.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 36.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 36.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 36.286 * [backup-simplify]: Simplify (- 0) into 0 36.287 * [backup-simplify]: Simplify (+ 0 0) into 0 36.287 * [taylor]: Taking taylor expansion of 0 in b 36.287 * [backup-simplify]: Simplify 0 into 0 36.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 36.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 36.288 * [backup-simplify]: Simplify (- 0) into 0 36.288 * [backup-simplify]: Simplify 0 into 0 36.288 * [backup-simplify]: Simplify 0 into 0 36.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 36.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 36.290 * [backup-simplify]: Simplify (- 0) into 0 36.290 * [backup-simplify]: Simplify (+ 0 0) into 0 36.290 * [taylor]: Taking taylor expansion of 0 in b 36.290 * [backup-simplify]: Simplify 0 into 0 36.290 * [backup-simplify]: Simplify 0 into 0 36.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 36.291 * [backup-simplify]: Simplify (- 0) into 0 36.291 * [backup-simplify]: Simplify 0 into 0 36.292 * [backup-simplify]: Simplify 0 into 0 36.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 36.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 36.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 36.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 36.294 * [backup-simplify]: Simplify (- 0) into 0 36.294 * [backup-simplify]: Simplify (+ 0 0) into 0 36.294 * [taylor]: Taking taylor expansion of 0 in b 36.294 * [backup-simplify]: Simplify 0 into 0 36.294 * [backup-simplify]: Simplify 0 into 0 36.294 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (/ 1 a))) (* -1/2 (* (/ 1 b) 1))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 36.294 * [backup-simplify]: Simplify (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))) into (- (* 1/2 a) (* 1/2 b)) 36.294 * [approximate]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in (a b) around 0 36.294 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 36.294 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.294 * [taylor]: Taking taylor expansion of 1/2 in b 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of a in b 36.295 * [backup-simplify]: Simplify a into a 36.295 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.295 * [taylor]: Taking taylor expansion of 1/2 in b 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of b in b 36.295 * [backup-simplify]: Simplify 0 into 0 36.295 * [backup-simplify]: Simplify 1 into 1 36.295 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.295 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.295 * [taylor]: Taking taylor expansion of 1/2 in a 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of a in a 36.295 * [backup-simplify]: Simplify 0 into 0 36.295 * [backup-simplify]: Simplify 1 into 1 36.295 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.295 * [taylor]: Taking taylor expansion of 1/2 in a 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of b in a 36.295 * [backup-simplify]: Simplify b into b 36.295 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 36.295 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.295 * [taylor]: Taking taylor expansion of 1/2 in a 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of a in a 36.295 * [backup-simplify]: Simplify 0 into 0 36.295 * [backup-simplify]: Simplify 1 into 1 36.295 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.295 * [taylor]: Taking taylor expansion of 1/2 in a 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of b in a 36.295 * [backup-simplify]: Simplify b into b 36.295 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.295 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.295 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 36.295 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 36.295 * [taylor]: Taking taylor expansion of (- (* 1/2 b)) in b 36.295 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.295 * [taylor]: Taking taylor expansion of 1/2 in b 36.295 * [backup-simplify]: Simplify 1/2 into 1/2 36.295 * [taylor]: Taking taylor expansion of b in b 36.296 * [backup-simplify]: Simplify 0 into 0 36.296 * [backup-simplify]: Simplify 1 into 1 36.296 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.296 * [backup-simplify]: Simplify (- 0) into 0 36.296 * [backup-simplify]: Simplify 0 into 0 36.296 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.297 * [backup-simplify]: Simplify (- 0) into 0 36.297 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 36.297 * [taylor]: Taking taylor expansion of 1/2 in b 36.297 * [backup-simplify]: Simplify 1/2 into 1/2 36.297 * [backup-simplify]: Simplify 1/2 into 1/2 36.298 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.298 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.298 * [backup-simplify]: Simplify -1/2 into -1/2 36.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.299 * [backup-simplify]: Simplify (- 0) into 0 36.300 * [backup-simplify]: Simplify (+ 0 0) into 0 36.300 * [taylor]: Taking taylor expansion of 0 in b 36.300 * [backup-simplify]: Simplify 0 into 0 36.300 * [backup-simplify]: Simplify 0 into 0 36.300 * [backup-simplify]: Simplify 0 into 0 36.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.300 * [backup-simplify]: Simplify (- 0) into 0 36.301 * [backup-simplify]: Simplify 0 into 0 36.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 36.303 * [backup-simplify]: Simplify (- 0) into 0 36.303 * [backup-simplify]: Simplify (+ 0 0) into 0 36.303 * [taylor]: Taking taylor expansion of 0 in b 36.303 * [backup-simplify]: Simplify 0 into 0 36.303 * [backup-simplify]: Simplify 0 into 0 36.303 * [backup-simplify]: Simplify 0 into 0 36.303 * [backup-simplify]: Simplify 0 into 0 36.303 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 b) 1)) (* 1/2 (* 1 (/ 1 a)))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 36.303 * [backup-simplify]: Simplify (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))) into (- (* 1/2 b) (* 1/2 a)) 36.303 * [approximate]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in (a b) around 0 36.304 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 36.304 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.304 * [taylor]: Taking taylor expansion of 1/2 in b 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of b in b 36.304 * [backup-simplify]: Simplify 0 into 0 36.304 * [backup-simplify]: Simplify 1 into 1 36.304 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 36.304 * [taylor]: Taking taylor expansion of 1/2 in b 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of a in b 36.304 * [backup-simplify]: Simplify a into a 36.304 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.304 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.304 * [taylor]: Taking taylor expansion of 1/2 in a 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of b in a 36.304 * [backup-simplify]: Simplify b into b 36.304 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.304 * [taylor]: Taking taylor expansion of 1/2 in a 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of a in a 36.304 * [backup-simplify]: Simplify 0 into 0 36.304 * [backup-simplify]: Simplify 1 into 1 36.304 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 36.304 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 36.304 * [taylor]: Taking taylor expansion of 1/2 in a 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of b in a 36.304 * [backup-simplify]: Simplify b into b 36.304 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 36.304 * [taylor]: Taking taylor expansion of 1/2 in a 36.304 * [backup-simplify]: Simplify 1/2 into 1/2 36.304 * [taylor]: Taking taylor expansion of a in a 36.304 * [backup-simplify]: Simplify 0 into 0 36.304 * [backup-simplify]: Simplify 1 into 1 36.304 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 36.305 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.305 * [backup-simplify]: Simplify (- 0) into 0 36.305 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 36.305 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 36.305 * [taylor]: Taking taylor expansion of 1/2 in b 36.305 * [backup-simplify]: Simplify 1/2 into 1/2 36.305 * [taylor]: Taking taylor expansion of b in b 36.305 * [backup-simplify]: Simplify 0 into 0 36.305 * [backup-simplify]: Simplify 1 into 1 36.306 * [backup-simplify]: Simplify (* 1/2 0) into 0 36.306 * [backup-simplify]: Simplify 0 into 0 36.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 36.307 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.307 * [backup-simplify]: Simplify (- 1/2) into -1/2 36.308 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 36.308 * [taylor]: Taking taylor expansion of -1/2 in b 36.308 * [backup-simplify]: Simplify -1/2 into -1/2 36.308 * [backup-simplify]: Simplify -1/2 into -1/2 36.309 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 36.309 * [backup-simplify]: Simplify 1/2 into 1/2 36.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 36.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.311 * [backup-simplify]: Simplify (- 0) into 0 36.311 * [backup-simplify]: Simplify (+ 0 0) into 0 36.311 * [taylor]: Taking taylor expansion of 0 in b 36.311 * [backup-simplify]: Simplify 0 into 0 36.311 * [backup-simplify]: Simplify 0 into 0 36.311 * [backup-simplify]: Simplify 0 into 0 36.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 36.312 * [backup-simplify]: Simplify 0 into 0 36.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 36.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 36.315 * [backup-simplify]: Simplify (- 0) into 0 36.315 * [backup-simplify]: Simplify (+ 0 0) into 0 36.315 * [taylor]: Taking taylor expansion of 0 in b 36.315 * [backup-simplify]: Simplify 0 into 0 36.315 * [backup-simplify]: Simplify 0 into 0 36.315 * [backup-simplify]: Simplify 0 into 0 36.315 * [backup-simplify]: Simplify 0 into 0 36.315 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- b)) 1)) (* -1/2 (* 1 (/ 1 (- a))))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 36.316 * * * [progress]: simplifying candidates 36.316 * * * * [progress]: [ 1 / 5274 ] simplifiying candidate # 36.316 * * * * [progress]: [ 2 / 5274 ] simplifiying candidate # 36.316 * * * * [progress]: [ 3 / 5274 ] simplifiying candidate # 36.316 * * * * [progress]: [ 4 / 5274 ] simplifiying candidate # 36.316 * * * * [progress]: [ 5 / 5274 ] simplifiying candidate # 36.316 * * * * [progress]: [ 6 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 7 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 8 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 9 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 10 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 11 / 5274 ] simplifiying candidate # 36.317 * * * * [progress]: [ 12 / 5274 ] simplifiying candidate 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* * * * [progress]: [ 728 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 729 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 730 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 731 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 732 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 733 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 734 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 735 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 736 / 5274 ] simplifiying candidate # 36.359 * * * * [progress]: [ 737 / 5274 ] simplifiying candidate # 36.360 * * * * [progress]: [ 738 / 5274 ] simplifiying candidate # 36.360 * * * * [progress]: [ 739 / 5274 ] simplifiying candidate # 36.360 * * * * [progress]: [ 740 / 5274 ] simplifiying candidate # 36.360 * * * * [progress]: [ 741 / 5274 ] simplifiying candidate # 36.360 * * * * [progress]: [ 742 / 5274 ] simplifiying candidate # 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5274 ] simplifiying candidate # 36.368 * * * * [progress]: [ 890 / 5274 ] simplifiying candidate # 36.368 * * * * [progress]: [ 891 / 5274 ] simplifiying candidate # 36.368 * * * * [progress]: [ 892 / 5274 ] simplifiying candidate # 36.368 * * * * [progress]: [ 893 / 5274 ] simplifiying candidate # 36.368 * * * * [progress]: [ 894 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 895 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 896 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 897 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 898 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 899 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 900 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 901 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 902 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 903 / 5274 ] simplifiying candidate # 36.369 * * * * [progress]: [ 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* * [progress]: [ 934 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 935 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 936 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 937 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 938 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 939 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 940 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 941 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 942 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 943 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 944 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 945 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 946 / 5274 ] simplifiying candidate # 36.371 * * * * [progress]: [ 947 / 5274 ] simplifiying candidate # 36.372 * * * * [progress]: [ 948 / 5274 ] simplifiying candidate # 36.372 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5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5233 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5234 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5235 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5236 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5237 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5238 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5239 / 5274 ] simplifiying candidate #real (real->posit16 (/ (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (- b a)))))> 36.715 * * * * [progress]: [ 5240 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5241 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5242 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5243 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5244 / 5274 ] simplifiying candidate # 36.715 * * * * [progress]: [ 5245 / 5274 ] simplifiying candidate # 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/ 5274 ] simplifiying candidate # 36.945 * [simplify]: Simplifying: (- (- (log PI) 0) (- (log (+ a b)) (log (- (/ 1/2 a) (/ 1/2 b))))) (- (- (log PI) 0) (log (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (- (- (log PI) (log 1)) (- (log (+ a b)) (log (- (/ 1/2 a) (/ 1/2 b))))) (- (- (log PI) (log 1)) (log (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (- (log (/ PI 1)) (- (log (+ a b)) (log (- (/ 1/2 a) (/ 1/2 b))))) (- (log (/ PI 1)) (log (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (log (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (exp (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (/ (/ (* (* PI PI) PI) (* (* 1 1) 1)) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (- (/ 1/2 a) (/ 1/2 b))))) (/ (/ (* (* PI PI) PI) (* (* 1 1) 1)) (* (* (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (/ (* (* (/ PI 1) (/ PI 1)) (/ PI 1)) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (- (/ 1/2 a) (/ 1/2 b))))) (/ (* (* (/ PI 1) (/ PI 1)) (/ PI 1)) (* (* (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (* (cbrt (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (cbrt (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))))) (cbrt (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (* (* (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (sqrt (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (sqrt (/ (/ PI 1) (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (- (/ PI 1)) (- (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (/ (* (cbrt (/ PI 1)) (cbrt (/ PI 1))) (* (cbrt (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))) (cbrt (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b)))))) (/ (cbrt (/ PI 1)) (cbrt (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (/ (* (cbrt (/ PI 1)) (cbrt (/ PI 1))) (sqrt (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))))) (/ (cbrt (/ PI 1)) (sqrt (/ (+ a b) (- 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(- (* (* (/ 1/2 a) (/ 1/2 a)) (/ 1/2 a)) (/ 1/8 (* (* b b) b))) (+ (* (/ 1/2 a) (/ 1/2 a)) (* (/ 1/2 b) (+ (/ 1/2 b) (/ 1/2 a)))) (/ -1/2 b) (- (* (/ 1/2 a) (/ 1/2 a)) (* (/ 1/2 b) (/ 1/2 b))) (+ (/ 1/2 b) (/ 1/2 a)) (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (+ (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (- (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (+ (/ (sqrt 1/2) (sqrt a)) (/ (sqrt 1/2) (sqrt b))) (- (/ (sqrt 1/2) (sqrt a)) (/ (sqrt 1/2) (sqrt b))) (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1 a) (/ 1 b)) (/ -1/2 b) (real->posit16 (- (/ 1/2 a) (/ 1/2 b))) (/ (* 1/2 PI) (* a b)) (/ (* -1/2 PI) (* a b)) (/ (* -1/2 PI) (* a b)) (* (* 2 a) b) (* -2 (* a b)) (* -2 (* a b)) 0 0 0 (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) 79.203 * * * [progress]: adding candidates to table 116.962 * [progress]: [Phase 3 of 3] Extracting. 116.962 * * [regime]: Finding splitpoints for: (# # # # #) 116.964 * * * [regime-changes]: Trying 2 branch expressions: (b a) 116.964 * * * * [regimes]: Trying to branch on b from (# # # # #) 117.008 * * * * [regimes]: Trying to branch on a from (# # # # #) 117.058 * * * [regime]: Found split indices: #