7.274 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.081 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.081 * * [simplify]: iteration 0: 15 enodes 0.084 * * [simplify]: iteration 1: 32 enodes 0.091 * * [simplify]: iteration 2: 94 enodes 0.133 * * [simplify]: iteration 3: 358 enodes 0.307 * * [simplify]: iteration 4: 1476 enodes 0.635 * * [simplify]: iteration 5: 2014 enodes 1.072 * * [simplify]: iteration complete: 2014 enodes 1.072 * * [simplify]: Extracting #0: cost 1 inf + 0 1.072 * * [simplify]: Extracting #1: cost 110 inf + 0 1.074 * * [simplify]: Extracting #2: cost 499 inf + 3 1.077 * * [simplify]: Extracting #3: cost 529 inf + 12590 1.092 * * [simplify]: Extracting #4: cost 140 inf + 82657 1.144 * * [simplify]: Extracting #5: cost 0 inf + 111158 1.198 * * [simplify]: Extracting #6: cost 0 inf + 111002 1.229 * [simplify]: Simplified to: (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b))) 1.233 * * [progress]: iteration 1 / 4 1.233 * * * [progress]: picking best candidate 1.243 * * * * [pick]: Picked # 1.243 * * * [progress]: localizing error 1.273 * * * [progress]: generating rewritten candidates 1.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.390 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.398 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.433 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.458 * * * [progress]: generating series expansions 1.458 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.462 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b))) into (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 1.462 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 1.463 * [taylor]: Taking taylor expansion of 1/2 in b 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 1.463 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 1.463 * [taylor]: Taking taylor expansion of PI in b 1.463 * [backup-simplify]: Simplify PI into PI 1.463 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.463 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.463 * [taylor]: Taking taylor expansion of a in b 1.463 * [backup-simplify]: Simplify a into a 1.463 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.463 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.463 * [taylor]: Taking taylor expansion of b in b 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.464 * [taylor]: Taking taylor expansion of (+ a b) in b 1.464 * [taylor]: Taking taylor expansion of a in b 1.464 * [backup-simplify]: Simplify a into a 1.464 * [taylor]: Taking taylor expansion of b in b 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [taylor]: Taking taylor expansion of (- b a) in b 1.464 * [taylor]: Taking taylor expansion of b in b 1.464 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [taylor]: Taking taylor expansion of a in b 1.465 * [backup-simplify]: Simplify a into a 1.465 * [backup-simplify]: Simplify (- 1) into -1 1.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.466 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 1.466 * [backup-simplify]: Simplify (+ a 0) into a 1.466 * [backup-simplify]: Simplify (- a) into (- a) 1.466 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.466 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.466 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 1.466 * [taylor]: Taking taylor expansion of 1/2 in a 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.467 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 1.467 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 1.467 * [taylor]: Taking taylor expansion of PI in a 1.467 * [backup-simplify]: Simplify PI into PI 1.467 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.467 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.467 * [taylor]: Taking taylor expansion of a in a 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.467 * [taylor]: Taking taylor expansion of b in a 1.467 * [backup-simplify]: Simplify b into b 1.467 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.467 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.467 * [taylor]: Taking taylor expansion of (+ a b) in a 1.467 * [taylor]: Taking taylor expansion of a in a 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of b in a 1.467 * [backup-simplify]: Simplify b into b 1.467 * [taylor]: Taking taylor expansion of (- b a) in a 1.467 * [taylor]: Taking taylor expansion of b in a 1.467 * [backup-simplify]: Simplify b into b 1.467 * [taylor]: Taking taylor expansion of a in a 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (+ 1 0) into 1 1.468 * [backup-simplify]: Simplify (* PI 1) into PI 1.468 * [backup-simplify]: Simplify (+ 0 b) into b 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ b 0) into b 1.468 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.468 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 1.468 * [taylor]: Taking taylor expansion of 1/2 in a 1.468 * [backup-simplify]: Simplify 1/2 into 1/2 1.468 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 1.468 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 1.468 * [taylor]: Taking taylor expansion of PI in a 1.468 * [backup-simplify]: Simplify PI into PI 1.468 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.468 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.468 * [taylor]: Taking taylor expansion of a in a 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.469 * [taylor]: Taking taylor expansion of b in a 1.469 * [backup-simplify]: Simplify b into b 1.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.469 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.469 * [taylor]: Taking taylor expansion of (+ a b) in a 1.469 * [taylor]: Taking taylor expansion of a in a 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [taylor]: Taking taylor expansion of b in a 1.469 * [backup-simplify]: Simplify b into b 1.469 * [taylor]: Taking taylor expansion of (- b a) in a 1.469 * [taylor]: Taking taylor expansion of b in a 1.469 * [backup-simplify]: Simplify b into b 1.469 * [taylor]: Taking taylor expansion of a in a 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (+ 1 0) into 1 1.469 * [backup-simplify]: Simplify (* PI 1) into PI 1.469 * [backup-simplify]: Simplify (+ 0 b) into b 1.470 * [backup-simplify]: Simplify (- 0) into 0 1.470 * [backup-simplify]: Simplify (+ b 0) into b 1.470 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.470 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.470 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 1.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.470 * [taylor]: Taking taylor expansion of 1/2 in b 1.470 * [backup-simplify]: Simplify 1/2 into 1/2 1.470 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.470 * [taylor]: Taking taylor expansion of PI in b 1.470 * [backup-simplify]: Simplify PI into PI 1.470 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.470 * [taylor]: Taking taylor expansion of b in b 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (/ PI 1) into PI 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.474 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.474 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 1.475 * [backup-simplify]: Simplify (- 1) into -1 1.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.475 * [backup-simplify]: Simplify (+ 1 0) into 1 1.475 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.475 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 1.476 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 1.476 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 1.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 1.476 * [taylor]: Taking taylor expansion of 1/2 in b 1.476 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.476 * [taylor]: Taking taylor expansion of PI in b 1.476 * [backup-simplify]: Simplify PI into PI 1.476 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.476 * [taylor]: Taking taylor expansion of b in b 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ PI 1) into PI 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.486 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 1.486 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 1.486 * [taylor]: Taking taylor expansion of 1/2 in b 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 1.486 * [taylor]: Taking taylor expansion of PI in b 1.486 * [backup-simplify]: Simplify PI into PI 1.486 * [taylor]: Taking taylor expansion of (pow b 4) in b 1.486 * [taylor]: Taking taylor expansion of b in b 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (/ PI 1) into PI 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 1.503 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.503 * [taylor]: Taking taylor expansion of 1/2 in b 1.503 * [backup-simplify]: Simplify 1/2 into 1/2 1.503 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.503 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 1.503 * [taylor]: Taking taylor expansion of (- a b) in b 1.503 * [taylor]: Taking taylor expansion of a in b 1.503 * [backup-simplify]: Simplify a into a 1.503 * [taylor]: Taking taylor expansion of b in b 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [taylor]: Taking taylor expansion of PI in b 1.503 * [backup-simplify]: Simplify PI into PI 1.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.503 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.503 * [taylor]: Taking taylor expansion of a in b 1.503 * [backup-simplify]: Simplify a into a 1.503 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.503 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.503 * [taylor]: Taking taylor expansion of b in b 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.504 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.504 * [taylor]: Taking taylor expansion of b in b 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.504 * [taylor]: Taking taylor expansion of a in b 1.504 * [backup-simplify]: Simplify a into a 1.504 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.504 * [backup-simplify]: Simplify (+ a 0) into a 1.505 * [backup-simplify]: Simplify (* a PI) into (* a PI) 1.505 * [backup-simplify]: Simplify (+ 0 1) into 1 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 1.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.506 * [taylor]: Taking taylor expansion of 1/2 in a 1.506 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.506 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 1.506 * [taylor]: Taking taylor expansion of (- a b) in a 1.506 * [taylor]: Taking taylor expansion of a in a 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of b in a 1.506 * [backup-simplify]: Simplify b into b 1.506 * [taylor]: Taking taylor expansion of PI in a 1.506 * [backup-simplify]: Simplify PI into PI 1.506 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.506 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.506 * [taylor]: Taking taylor expansion of a in a 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.506 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.506 * [taylor]: Taking taylor expansion of b in a 1.506 * [backup-simplify]: Simplify b into b 1.506 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.506 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.506 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.506 * [taylor]: Taking taylor expansion of b in a 1.506 * [backup-simplify]: Simplify b into b 1.506 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.506 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.506 * [taylor]: Taking taylor expansion of a in a 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [backup-simplify]: Simplify (- b) into (- b) 1.507 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.507 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 1.507 * [backup-simplify]: Simplify (+ 1 0) into 1 1.507 * [backup-simplify]: Simplify (- 1) into -1 1.508 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.508 * [backup-simplify]: Simplify (* 1 -1) into -1 1.508 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 1.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.508 * [taylor]: Taking taylor expansion of 1/2 in a 1.508 * [backup-simplify]: Simplify 1/2 into 1/2 1.508 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.508 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 1.508 * [taylor]: Taking taylor expansion of (- a b) in a 1.508 * [taylor]: Taking taylor expansion of a in a 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [taylor]: Taking taylor expansion of b in a 1.508 * [backup-simplify]: Simplify b into b 1.508 * [taylor]: Taking taylor expansion of PI in a 1.508 * [backup-simplify]: Simplify PI into PI 1.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.508 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.508 * [taylor]: Taking taylor expansion of a in a 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.508 * [taylor]: Taking taylor expansion of b in a 1.508 * [backup-simplify]: Simplify b into b 1.508 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.508 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.509 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.509 * [taylor]: Taking taylor expansion of b in a 1.509 * [backup-simplify]: Simplify b into b 1.509 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.509 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.509 * [taylor]: Taking taylor expansion of a in a 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [backup-simplify]: Simplify (- b) into (- b) 1.509 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.509 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.510 * [backup-simplify]: Simplify (* 1 -1) into -1 1.510 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 1.510 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 1.510 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 1.510 * [taylor]: Taking taylor expansion of 1/2 in b 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of (* b PI) in b 1.510 * [taylor]: Taking taylor expansion of b in b 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of PI in b 1.510 * [backup-simplify]: Simplify PI into PI 1.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.512 * [backup-simplify]: Simplify (* 0 PI) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (- 0) into 0 1.513 * [backup-simplify]: Simplify (+ 1 0) into 1 1.514 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.515 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.516 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 1.516 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 1.516 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 1.516 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 1.516 * [taylor]: Taking taylor expansion of 1/2 in b 1.516 * [backup-simplify]: Simplify 1/2 into 1/2 1.516 * [taylor]: Taking taylor expansion of PI in b 1.516 * [backup-simplify]: Simplify PI into PI 1.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.517 * [backup-simplify]: Simplify (- 0) into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.526 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 1.527 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 1.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.527 * [taylor]: Taking taylor expansion of 1/2 in b 1.527 * [backup-simplify]: Simplify 1/2 into 1/2 1.527 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.527 * [taylor]: Taking taylor expansion of PI in b 1.527 * [backup-simplify]: Simplify PI into PI 1.527 * [taylor]: Taking taylor expansion of b in b 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (/ PI 1) into PI 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 1.538 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.538 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.538 * [taylor]: Taking taylor expansion of -1/2 in b 1.538 * [backup-simplify]: Simplify -1/2 into -1/2 1.538 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.538 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 1.538 * [taylor]: Taking taylor expansion of (- b a) in b 1.538 * [taylor]: Taking taylor expansion of b in b 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [taylor]: Taking taylor expansion of a in b 1.538 * [backup-simplify]: Simplify a into a 1.538 * [taylor]: Taking taylor expansion of PI in b 1.538 * [backup-simplify]: Simplify PI into PI 1.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.538 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.538 * [taylor]: Taking taylor expansion of a in b 1.538 * [backup-simplify]: Simplify a into a 1.538 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.538 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.538 * [taylor]: Taking taylor expansion of b in b 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.539 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.539 * [taylor]: Taking taylor expansion of a in b 1.539 * [backup-simplify]: Simplify a into a 1.539 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.539 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.539 * [taylor]: Taking taylor expansion of b in b 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [backup-simplify]: Simplify (- a) into (- a) 1.540 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.540 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 1.540 * [backup-simplify]: Simplify (+ 0 1) into 1 1.540 * [backup-simplify]: Simplify (- 1) into -1 1.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.541 * [backup-simplify]: Simplify (* 1 -1) into -1 1.541 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 1.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.542 * [taylor]: Taking taylor expansion of -1/2 in a 1.542 * [backup-simplify]: Simplify -1/2 into -1/2 1.542 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.542 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 1.542 * [taylor]: Taking taylor expansion of (- b a) in a 1.542 * [taylor]: Taking taylor expansion of b in a 1.542 * [backup-simplify]: Simplify b into b 1.542 * [taylor]: Taking taylor expansion of a in a 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of PI in a 1.542 * [backup-simplify]: Simplify PI into PI 1.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.542 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.542 * [taylor]: Taking taylor expansion of a in a 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.542 * [taylor]: Taking taylor expansion of b in a 1.543 * [backup-simplify]: Simplify b into b 1.543 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.543 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.543 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.543 * [taylor]: Taking taylor expansion of a in a 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.543 * [taylor]: Taking taylor expansion of b in a 1.543 * [backup-simplify]: Simplify b into b 1.543 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ b 0) into b 1.550 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.552 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.552 * [taylor]: Taking taylor expansion of -1/2 in a 1.552 * [backup-simplify]: Simplify -1/2 into -1/2 1.552 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.552 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 1.552 * [taylor]: Taking taylor expansion of (- b a) in a 1.552 * [taylor]: Taking taylor expansion of b in a 1.552 * [backup-simplify]: Simplify b into b 1.552 * [taylor]: Taking taylor expansion of a in a 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of PI in a 1.552 * [backup-simplify]: Simplify PI into PI 1.552 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.552 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.552 * [taylor]: Taking taylor expansion of a in a 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.553 * [taylor]: Taking taylor expansion of b in a 1.553 * [backup-simplify]: Simplify b into b 1.553 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.553 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.553 * [taylor]: Taking taylor expansion of a in a 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.554 * [taylor]: Taking taylor expansion of b in a 1.554 * [backup-simplify]: Simplify b into b 1.554 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ b 0) into b 1.554 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.557 * [backup-simplify]: Simplify (+ 1 0) into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.558 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 1.558 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 1.558 * [taylor]: Taking taylor expansion of -1/2 in b 1.558 * [backup-simplify]: Simplify -1/2 into -1/2 1.558 * [taylor]: Taking taylor expansion of (* PI b) in b 1.558 * [taylor]: Taking taylor expansion of PI in b 1.558 * [backup-simplify]: Simplify PI into PI 1.558 * [taylor]: Taking taylor expansion of b in b 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.561 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.561 * [backup-simplify]: Simplify (* PI 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (- 1) into -1 1.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.564 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.565 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.566 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.567 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 1.569 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 1.569 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 1.569 * [taylor]: Taking taylor expansion of 1/2 in b 1.569 * [backup-simplify]: Simplify 1/2 into 1/2 1.569 * [taylor]: Taking taylor expansion of PI in b 1.569 * [backup-simplify]: Simplify PI into PI 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 1.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 1.580 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 1.581 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.581 * [taylor]: Taking taylor expansion of 1/2 in b 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.581 * [taylor]: Taking taylor expansion of PI in b 1.581 * [backup-simplify]: Simplify PI into PI 1.581 * [taylor]: Taking taylor expansion of b in b 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ PI 1) into PI 1.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.591 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.591 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.591 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.591 * [taylor]: Taking taylor expansion of PI in b 1.591 * [backup-simplify]: Simplify PI into PI 1.591 * [taylor]: Taking taylor expansion of (+ a b) in b 1.591 * [taylor]: Taking taylor expansion of a in b 1.591 * [backup-simplify]: Simplify a into a 1.591 * [taylor]: Taking taylor expansion of b in b 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (+ a 0) into a 1.591 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.591 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.591 * [taylor]: Taking taylor expansion of PI in a 1.591 * [backup-simplify]: Simplify PI into PI 1.591 * [taylor]: Taking taylor expansion of (+ a b) in a 1.591 * [taylor]: Taking taylor expansion of a in a 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [taylor]: Taking taylor expansion of b in a 1.591 * [backup-simplify]: Simplify b into b 1.591 * [backup-simplify]: Simplify (+ 0 b) into b 1.591 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.591 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.591 * [taylor]: Taking taylor expansion of PI in a 1.591 * [backup-simplify]: Simplify PI into PI 1.591 * [taylor]: Taking taylor expansion of (+ a b) in a 1.592 * [taylor]: Taking taylor expansion of a in a 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.592 * [taylor]: Taking taylor expansion of b in a 1.592 * [backup-simplify]: Simplify b into b 1.592 * [backup-simplify]: Simplify (+ 0 b) into b 1.592 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.592 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.592 * [taylor]: Taking taylor expansion of PI in b 1.592 * [backup-simplify]: Simplify PI into PI 1.592 * [taylor]: Taking taylor expansion of b in b 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ PI 1) into PI 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.594 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.594 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.594 * [taylor]: Taking taylor expansion of PI in b 1.594 * [backup-simplify]: Simplify PI into PI 1.594 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.594 * [taylor]: Taking taylor expansion of b in b 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (/ PI 1) into PI 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.601 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.601 * [taylor]: Taking taylor expansion of PI in b 1.601 * [backup-simplify]: Simplify PI into PI 1.601 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.601 * [taylor]: Taking taylor expansion of b in b 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (/ PI 1) into PI 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.614 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.616 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.616 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.616 * [taylor]: Taking taylor expansion of PI in b 1.616 * [backup-simplify]: Simplify PI into PI 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.616 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.616 * [taylor]: Taking taylor expansion of a in b 1.616 * [backup-simplify]: Simplify a into a 1.616 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.616 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.616 * [taylor]: Taking taylor expansion of b in b 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [backup-simplify]: Simplify (+ 0 1) into 1 1.617 * [backup-simplify]: Simplify (/ PI 1) into PI 1.617 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.617 * [taylor]: Taking taylor expansion of PI in a 1.617 * [backup-simplify]: Simplify PI into PI 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.618 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.618 * [taylor]: Taking taylor expansion of a in a 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.618 * [taylor]: Taking taylor expansion of b in a 1.618 * [backup-simplify]: Simplify b into b 1.618 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.619 * [backup-simplify]: Simplify (+ 1 0) into 1 1.619 * [backup-simplify]: Simplify (/ PI 1) into PI 1.619 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.619 * [taylor]: Taking taylor expansion of PI in a 1.619 * [backup-simplify]: Simplify PI into PI 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.619 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.619 * [taylor]: Taking taylor expansion of a in a 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (/ 1 1) into 1 1.620 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.620 * [taylor]: Taking taylor expansion of b in a 1.620 * [backup-simplify]: Simplify b into b 1.620 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.621 * [backup-simplify]: Simplify (/ PI 1) into PI 1.621 * [taylor]: Taking taylor expansion of PI in b 1.621 * [backup-simplify]: Simplify PI into PI 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.622 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.623 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.623 * [taylor]: Taking taylor expansion of PI in b 1.623 * [backup-simplify]: Simplify PI into PI 1.623 * [taylor]: Taking taylor expansion of b in b 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ PI 1) into PI 1.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.629 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.629 * [taylor]: Taking taylor expansion of PI in b 1.629 * [backup-simplify]: Simplify PI into PI 1.629 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.629 * [taylor]: Taking taylor expansion of b in b 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.630 * [backup-simplify]: Simplify (/ PI 1) into PI 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.638 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.638 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.638 * [taylor]: Taking taylor expansion of -1 in b 1.638 * [backup-simplify]: Simplify -1 into -1 1.638 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.638 * [taylor]: Taking taylor expansion of PI in b 1.639 * [backup-simplify]: Simplify PI into PI 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.639 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.639 * [taylor]: Taking taylor expansion of a in b 1.639 * [backup-simplify]: Simplify a into a 1.639 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.639 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.639 * [taylor]: Taking taylor expansion of b in b 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (+ 0 1) into 1 1.640 * [backup-simplify]: Simplify (/ PI 1) into PI 1.640 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.640 * [taylor]: Taking taylor expansion of -1 in a 1.640 * [backup-simplify]: Simplify -1 into -1 1.640 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.640 * [taylor]: Taking taylor expansion of PI in a 1.640 * [backup-simplify]: Simplify PI into PI 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.640 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.640 * [taylor]: Taking taylor expansion of a in a 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.641 * [taylor]: Taking taylor expansion of b in a 1.641 * [backup-simplify]: Simplify b into b 1.641 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.642 * [backup-simplify]: Simplify (/ PI 1) into PI 1.642 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.642 * [taylor]: Taking taylor expansion of -1 in a 1.642 * [backup-simplify]: Simplify -1 into -1 1.642 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.642 * [taylor]: Taking taylor expansion of PI in a 1.642 * [backup-simplify]: Simplify PI into PI 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.642 * [taylor]: Taking taylor expansion of a in a 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.643 * [taylor]: Taking taylor expansion of b in a 1.643 * [backup-simplify]: Simplify b into b 1.643 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.643 * [backup-simplify]: Simplify (+ 1 0) into 1 1.644 * [backup-simplify]: Simplify (/ PI 1) into PI 1.644 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.644 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.644 * [taylor]: Taking taylor expansion of -1 in b 1.644 * [backup-simplify]: Simplify -1 into -1 1.644 * [taylor]: Taking taylor expansion of PI in b 1.644 * [backup-simplify]: Simplify PI into PI 1.645 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.647 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.647 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.647 * [taylor]: Taking taylor expansion of PI in b 1.647 * [backup-simplify]: Simplify PI into PI 1.647 * [taylor]: Taking taylor expansion of b in b 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ PI 1) into PI 1.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.655 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.655 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.655 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.655 * [taylor]: Taking taylor expansion of PI in b 1.655 * [backup-simplify]: Simplify PI into PI 1.655 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.655 * [taylor]: Taking taylor expansion of b in b 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* 1 1) into 1 1.656 * [backup-simplify]: Simplify (/ PI 1) into PI 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.665 * [backup-simplify]: Simplify (/ (/ PI (+ a b)) (* 2 (- b a))) into (* 1/2 (/ PI (* (+ a b) (- b a)))) 1.665 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in (a b) around 0 1.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in b 1.665 * [taylor]: Taking taylor expansion of 1/2 in b 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in b 1.665 * [taylor]: Taking taylor expansion of PI in b 1.665 * [backup-simplify]: Simplify PI into PI 1.665 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.665 * [taylor]: Taking taylor expansion of (+ a b) in b 1.665 * [taylor]: Taking taylor expansion of a in b 1.665 * [backup-simplify]: Simplify a into a 1.665 * [taylor]: Taking taylor expansion of b in b 1.665 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of (- b a) in b 1.666 * [taylor]: Taking taylor expansion of b in b 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of a in b 1.666 * [backup-simplify]: Simplify a into a 1.666 * [backup-simplify]: Simplify (+ a 0) into a 1.666 * [backup-simplify]: Simplify (- a) into (- a) 1.666 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.666 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.666 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 1.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in a 1.666 * [taylor]: Taking taylor expansion of 1/2 in a 1.666 * [backup-simplify]: Simplify 1/2 into 1/2 1.666 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 1.666 * [taylor]: Taking taylor expansion of PI in a 1.666 * [backup-simplify]: Simplify PI into PI 1.666 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.667 * [taylor]: Taking taylor expansion of (+ a b) in a 1.667 * [taylor]: Taking taylor expansion of a in a 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [taylor]: Taking taylor expansion of b in a 1.667 * [backup-simplify]: Simplify b into b 1.667 * [taylor]: Taking taylor expansion of (- b a) in a 1.667 * [taylor]: Taking taylor expansion of b in a 1.667 * [backup-simplify]: Simplify b into b 1.667 * [taylor]: Taking taylor expansion of a in a 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (+ 0 b) into b 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ b 0) into b 1.667 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.667 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in a 1.668 * [taylor]: Taking taylor expansion of 1/2 in a 1.668 * [backup-simplify]: Simplify 1/2 into 1/2 1.668 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 1.668 * [taylor]: Taking taylor expansion of PI in a 1.668 * [backup-simplify]: Simplify PI into PI 1.668 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.668 * [taylor]: Taking taylor expansion of (+ a b) in a 1.668 * [taylor]: Taking taylor expansion of a in a 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [taylor]: Taking taylor expansion of b in a 1.668 * [backup-simplify]: Simplify b into b 1.668 * [taylor]: Taking taylor expansion of (- b a) in a 1.668 * [taylor]: Taking taylor expansion of b in a 1.668 * [backup-simplify]: Simplify b into b 1.668 * [taylor]: Taking taylor expansion of a in a 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (+ 0 b) into b 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.668 * [backup-simplify]: Simplify (+ b 0) into b 1.669 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.669 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.669 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 1.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.669 * [taylor]: Taking taylor expansion of 1/2 in b 1.669 * [backup-simplify]: Simplify 1/2 into 1/2 1.669 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.669 * [taylor]: Taking taylor expansion of PI in b 1.669 * [backup-simplify]: Simplify PI into PI 1.669 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.669 * [taylor]: Taking taylor expansion of b in b 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (* 1 1) into 1 1.670 * [backup-simplify]: Simplify (/ PI 1) into PI 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (- 1) into -1 1.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.676 * [backup-simplify]: Simplify (+ 1 0) into 1 1.676 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.677 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in b 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.684 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 1.685 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 1.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 1.685 * [taylor]: Taking taylor expansion of 1/2 in b 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 1.685 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 1.685 * [taylor]: Taking taylor expansion of PI in b 1.685 * [backup-simplify]: Simplify PI into PI 1.685 * [taylor]: Taking taylor expansion of (pow b 4) in b 1.685 * [taylor]: Taking taylor expansion of b in b 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.686 * [backup-simplify]: Simplify (/ PI 1) into PI 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 1.706 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.706 * [taylor]: Taking taylor expansion of 1/2 in b 1.706 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.706 * [taylor]: Taking taylor expansion of PI in b 1.706 * [backup-simplify]: Simplify PI into PI 1.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.706 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.706 * [taylor]: Taking taylor expansion of a in b 1.706 * [backup-simplify]: Simplify a into a 1.706 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.706 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.706 * [taylor]: Taking taylor expansion of b in b 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.707 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.707 * [taylor]: Taking taylor expansion of b in b 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.710 * [taylor]: Taking taylor expansion of a in b 1.710 * [backup-simplify]: Simplify a into a 1.710 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.711 * [backup-simplify]: Simplify (+ 0 1) into 1 1.711 * [backup-simplify]: Simplify (+ 1 0) into 1 1.712 * [backup-simplify]: Simplify (* 1 1) into 1 1.712 * [backup-simplify]: Simplify (/ PI 1) into PI 1.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.712 * [taylor]: Taking taylor expansion of 1/2 in a 1.712 * [backup-simplify]: Simplify 1/2 into 1/2 1.712 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.713 * [taylor]: Taking taylor expansion of PI in a 1.713 * [backup-simplify]: Simplify PI into PI 1.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.713 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.713 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.713 * [taylor]: Taking taylor expansion of a in a 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.713 * [taylor]: Taking taylor expansion of b in a 1.713 * [backup-simplify]: Simplify b into b 1.713 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.713 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.713 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.713 * [taylor]: Taking taylor expansion of b in a 1.713 * [backup-simplify]: Simplify b into b 1.713 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.713 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.713 * [taylor]: Taking taylor expansion of a in a 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.714 * [backup-simplify]: Simplify (+ 1 0) into 1 1.715 * [backup-simplify]: Simplify (- 1) into -1 1.715 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.716 * [backup-simplify]: Simplify (* 1 -1) into -1 1.716 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.716 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.716 * [taylor]: Taking taylor expansion of 1/2 in a 1.716 * [backup-simplify]: Simplify 1/2 into 1/2 1.716 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.717 * [taylor]: Taking taylor expansion of PI in a 1.717 * [backup-simplify]: Simplify PI into PI 1.717 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.717 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.717 * [taylor]: Taking taylor expansion of a in a 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.717 * [taylor]: Taking taylor expansion of b in a 1.717 * [backup-simplify]: Simplify b into b 1.717 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.717 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.717 * [taylor]: Taking taylor expansion of b in a 1.717 * [backup-simplify]: Simplify b into b 1.717 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.717 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.717 * [taylor]: Taking taylor expansion of a in a 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [backup-simplify]: Simplify (+ 1 0) into 1 1.719 * [backup-simplify]: Simplify (- 1) into -1 1.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.720 * [backup-simplify]: Simplify (* 1 -1) into -1 1.720 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.721 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 1.721 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 1.721 * [taylor]: Taking taylor expansion of -1/2 in b 1.721 * [backup-simplify]: Simplify -1/2 into -1/2 1.721 * [taylor]: Taking taylor expansion of PI in b 1.721 * [backup-simplify]: Simplify PI into PI 1.723 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.725 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.726 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 1.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 1.727 * [taylor]: Taking taylor expansion of 0 in b 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.734 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 1.736 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 1.736 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.736 * [taylor]: Taking taylor expansion of 1/2 in b 1.736 * [backup-simplify]: Simplify 1/2 into 1/2 1.736 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.736 * [taylor]: Taking taylor expansion of PI in b 1.736 * [backup-simplify]: Simplify PI into PI 1.736 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.736 * [taylor]: Taking taylor expansion of b in b 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ PI 1) into PI 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 1.749 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.749 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.749 * [taylor]: Taking taylor expansion of -1/2 in b 1.749 * [backup-simplify]: Simplify -1/2 into -1/2 1.749 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.749 * [taylor]: Taking taylor expansion of PI in b 1.750 * [backup-simplify]: Simplify PI into PI 1.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.750 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.750 * [taylor]: Taking taylor expansion of a in b 1.750 * [backup-simplify]: Simplify a into a 1.750 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.750 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.750 * [taylor]: Taking taylor expansion of b in b 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ 1 1) into 1 1.750 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.750 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.750 * [taylor]: Taking taylor expansion of a in b 1.750 * [backup-simplify]: Simplify a into a 1.750 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.751 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.751 * [taylor]: Taking taylor expansion of b in b 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify (+ 0 1) into 1 1.752 * [backup-simplify]: Simplify (- 1) into -1 1.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.753 * [backup-simplify]: Simplify (* 1 -1) into -1 1.753 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.753 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.753 * [taylor]: Taking taylor expansion of -1/2 in a 1.754 * [backup-simplify]: Simplify -1/2 into -1/2 1.754 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.754 * [taylor]: Taking taylor expansion of PI in a 1.754 * [backup-simplify]: Simplify PI into PI 1.754 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.754 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.754 * [taylor]: Taking taylor expansion of a in a 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.754 * [taylor]: Taking taylor expansion of b in a 1.754 * [backup-simplify]: Simplify b into b 1.754 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.754 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.754 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.754 * [taylor]: Taking taylor expansion of a in a 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.755 * [taylor]: Taking taylor expansion of b in a 1.755 * [backup-simplify]: Simplify b into b 1.755 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.755 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.757 * [backup-simplify]: Simplify (/ PI 1) into PI 1.757 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.757 * [taylor]: Taking taylor expansion of -1/2 in a 1.757 * [backup-simplify]: Simplify -1/2 into -1/2 1.757 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.757 * [taylor]: Taking taylor expansion of PI in a 1.757 * [backup-simplify]: Simplify PI into PI 1.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.757 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.757 * [taylor]: Taking taylor expansion of a in a 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.758 * [taylor]: Taking taylor expansion of b in a 1.758 * [backup-simplify]: Simplify b into b 1.758 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.758 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.758 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.758 * [taylor]: Taking taylor expansion of a in a 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.758 * [taylor]: Taking taylor expansion of b in a 1.758 * [backup-simplify]: Simplify b into b 1.759 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (/ PI 1) into PI 1.761 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 1.761 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 1.761 * [taylor]: Taking taylor expansion of -1/2 in b 1.761 * [backup-simplify]: Simplify -1/2 into -1/2 1.761 * [taylor]: Taking taylor expansion of PI in b 1.761 * [backup-simplify]: Simplify PI into PI 1.762 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.763 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.764 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in b 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.770 * [backup-simplify]: Simplify (- 0) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 1.775 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 1.775 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.775 * [taylor]: Taking taylor expansion of 1/2 in b 1.775 * [backup-simplify]: Simplify 1/2 into 1/2 1.775 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.775 * [taylor]: Taking taylor expansion of PI in b 1.775 * [backup-simplify]: Simplify PI into PI 1.775 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.775 * [taylor]: Taking taylor expansion of b in b 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.776 * [backup-simplify]: Simplify (/ PI 1) into PI 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.783 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 1.783 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 1.783 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.783 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.783 * [taylor]: Taking taylor expansion of a in b 1.783 * [backup-simplify]: Simplify a into a 1.783 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.783 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.783 * [taylor]: Taking taylor expansion of b in b 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.783 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.783 * [taylor]: Taking taylor expansion of a in a 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.783 * [taylor]: Taking taylor expansion of b in a 1.784 * [backup-simplify]: Simplify b into b 1.784 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.784 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.784 * [taylor]: Taking taylor expansion of a in a 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.784 * [taylor]: Taking taylor expansion of b in a 1.784 * [backup-simplify]: Simplify b into b 1.784 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.784 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [taylor]: Taking taylor expansion of 1 in b 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.785 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 1.785 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.785 * [taylor]: Taking taylor expansion of b in b 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (- 1) into -1 1.785 * [backup-simplify]: Simplify -1 into -1 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in b 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.789 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [taylor]: Taking taylor expansion of 0 in b 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [taylor]: Taking taylor expansion of 0 in b 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 1.792 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 1.792 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 1.792 * [taylor]: Taking taylor expansion of (- a b) in b 1.792 * [taylor]: Taking taylor expansion of a in b 1.792 * [backup-simplify]: Simplify a into a 1.792 * [taylor]: Taking taylor expansion of b in b 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [taylor]: Taking taylor expansion of (- a b) in a 1.792 * [taylor]: Taking taylor expansion of a in a 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [taylor]: Taking taylor expansion of b in a 1.792 * [backup-simplify]: Simplify b into b 1.792 * [taylor]: Taking taylor expansion of (- a b) in a 1.792 * [taylor]: Taking taylor expansion of a in a 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [taylor]: Taking taylor expansion of b in a 1.792 * [backup-simplify]: Simplify b into b 1.792 * [backup-simplify]: Simplify (- b) into (- b) 1.792 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.792 * [taylor]: Taking taylor expansion of (- b) in b 1.792 * [taylor]: Taking taylor expansion of b in b 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [taylor]: Taking taylor expansion of 1 in b 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (- 1) into -1 1.793 * [backup-simplify]: Simplify -1 into -1 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [taylor]: Taking taylor expansion of 0 in b 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [taylor]: Taking taylor expansion of 0 in b 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 1.795 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 1.795 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 1.795 * [taylor]: Taking taylor expansion of (- b a) in b 1.795 * [taylor]: Taking taylor expansion of b in b 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of a in b 1.795 * [backup-simplify]: Simplify a into a 1.795 * [taylor]: Taking taylor expansion of (- b a) in a 1.795 * [taylor]: Taking taylor expansion of b in a 1.795 * [backup-simplify]: Simplify b into b 1.795 * [taylor]: Taking taylor expansion of a in a 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of (- b a) in a 1.795 * [taylor]: Taking taylor expansion of b in a 1.795 * [backup-simplify]: Simplify b into b 1.795 * [taylor]: Taking taylor expansion of a in a 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.796 * [backup-simplify]: Simplify (+ b 0) into b 1.796 * [taylor]: Taking taylor expansion of b in b 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (- 1) into -1 1.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.796 * [taylor]: Taking taylor expansion of -1 in b 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [taylor]: Taking taylor expansion of 0 in b 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [taylor]: Taking taylor expansion of 0 in b 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 1.798 * * * [progress]: simplifying candidates 1.798 * * * * [progress]: [ 1 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 2 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 3 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 4 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 5 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 6 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 7 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 8 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 9 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 10 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 11 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 12 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 13 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 14 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 15 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 16 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 17 / 210 ] simplifiying candidate # 1.798 * * * * [progress]: [ 18 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 19 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 20 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 21 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 22 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 23 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 24 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 25 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 26 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 27 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 28 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 29 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 30 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 31 / 210 ] simplifiying candidate # 1.799 * * * * [progress]: [ 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1.800 * * * * [progress]: [ 48 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 49 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 50 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 51 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 52 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 53 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 54 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 55 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 56 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 57 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 58 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 59 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 60 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 61 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 62 / 210 ] simplifiying candidate # 1.800 * * * * [progress]: [ 63 / 210 ] 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1.801 * * * * [progress]: [ 78 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 79 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 80 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 81 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 82 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 83 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 84 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 85 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 86 / 210 ] simplifiying candidate # 1.801 * * * * [progress]: [ 87 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 88 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 89 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 90 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 91 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 92 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 93 / 210 ] 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* * * * [progress]: [ 109 / 210 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) (* 2 (- b a))) (- (/ 1 a) (/ 1 b))))> 1.802 * * * * [progress]: [ 110 / 210 ] simplifiying candidate # 1.802 * * * * [progress]: [ 111 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 112 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 113 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 114 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 115 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 116 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 117 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 118 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 119 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 120 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 121 / 210 ] simplifiying candidate # 1.803 * * * * [progress]: [ 122 / 210 ] simplifiying candidate # 1.803 * * * * 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1.804 * * * * [progress]: [ 154 / 210 ] simplifiying candidate # 1.804 * * * * [progress]: [ 155 / 210 ] simplifiying candidate # 1.804 * * * * [progress]: [ 156 / 210 ] simplifiying candidate # 1.804 * * * * [progress]: [ 157 / 210 ] simplifiying candidate # 1.804 * * * * [progress]: [ 158 / 210 ] simplifiying candidate # 1.804 * * * * [progress]: [ 159 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 160 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 161 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 162 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 163 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 164 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 165 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 166 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 167 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 168 / 210 ] simplifiying candidate #real (real->posit16 (/ (/ PI (+ a b)) (* 2 (- b a))))) (- (/ 1 a) (/ 1 b))))> 1.805 * * * * [progress]: [ 169 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 170 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 171 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 172 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 173 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 174 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 175 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 176 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 177 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 178 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 179 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 180 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 181 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 182 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 183 / 210 ] simplifiying candidate # 1.805 * * * * [progress]: [ 184 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 185 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 186 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 187 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 188 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 189 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 190 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 191 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 192 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 193 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 194 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 195 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 196 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 197 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 198 / 210 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b))))))> 1.806 * * * * [progress]: [ 199 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 200 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 201 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 202 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 203 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 204 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 205 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 206 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 207 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 208 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 209 / 210 ] simplifiying candidate # 1.806 * * * * [progress]: [ 210 / 210 ] simplifiying candidate # 1.808 * [simplify]: Simplifying: (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b))) (+ (- (- (log PI) (log (+ a b))) (+ (log 2) (log (- b a)))) (log (- (/ 1 a) (/ 1 b)))) (+ (- (- (log PI) (log (+ a b))) (log (* 2 (- b a)))) (log (- (/ 1 a) (/ 1 b)))) (+ (- (log (/ PI (+ a b))) (+ (log 2) (log (- b a)))) (log (- (/ 1 a) (/ 1 b)))) (+ (- (log (/ PI (+ a b))) (log (* 2 (- b a)))) (log (- (/ 1 a) (/ 1 b)))) (+ (log (/ (/ PI (+ a b)) (* 2 (- b a)))) (log (- (/ 1 a) (/ 1 b)))) (log (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))) (exp (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (/ (* (* (/ PI (+ a 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1 a) (/ 1 b))) (exp (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (- (* 1 b) (* a 1)) (* a b) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (- (/ 1 b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (/ 1 a) (/ 1 b)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ (sqrt (/ 1 a)) (/ (sqrt 1) (sqrt b))) (- (sqrt (/ 1 a)) (/ (sqrt 1) (sqrt b))) (+ (sqrt (/ 1 a)) (/ 1 (sqrt b))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))) (- (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))) (+ (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))) (- (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))) (+ (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))) (- (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 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[simplify]: Extracting #6: cost 4 inf + 222992 2.876 * * [simplify]: Extracting #7: cost 0 inf + 224004 2.943 * [simplify]: Simplified to: (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (exp (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* 8 (* (- b a) (- b a))) (- b a))) (* (/ (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* 2 (- b a))) (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* 2 (- b a)) (* 2 (- b a))))) (/ (* (* (/ PI (+ 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(+ b a))) (- (/ 1 a) (/ 1 b))) (- b a)) (/ (* (sqrt (/ PI (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a)) (* (- (/ 1 a) (/ 1 b)) (/ (cbrt PI) (* (- b a) (cbrt (+ b a))))) (* (/ (cbrt PI) (* (- b a) (sqrt (+ b a)))) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (/ (/ (cbrt PI) (+ b a)) (- b a))) (* (- (/ 1 a) (/ 1 b)) (/ (/ (cbrt PI) (+ b a)) (- b a))) (* (- (/ 1 a) (/ 1 b)) (/ (/ (sqrt PI) (cbrt (+ b a))) (- b a))) (* (/ (/ (sqrt PI) (sqrt (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (* (/ (sqrt PI) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)) (/ (* (/ (sqrt PI) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a)) (* (/ (/ PI (cbrt (+ b a))) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (* (/ PI (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) (- b a)) (/ (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (- b a)) (/ (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (- b a)) (/ (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (- b a)) (* (- (/ 1 a) (/ 1 b)) (/ 1 (* (- b a) (+ b a)))) (* (/ (+ (* a a) (* b (- b a))) (- b a)) (- (/ 1 a) (/ 1 b))) (/ (* (- a b) (- (/ 1 a) (/ 1 b))) (- b a)) (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- (/ 1 a) (/ 1 b)) (/ 1/2 (- b a))) (* (- (/ 1 a) (/ 1 b)) (+ (* a (+ a b)) (* b b))) (* (- (/ 1 a) (/ 1 b)) (+ a b)) (* (/ (- b a) 2) (/ (/ PI (+ b a)) (- b a))) (* (/ (/ PI (+ b a)) (- b a)) (/ (- (* (/ (/ 1 a) a) (/ 1 a)) (* (/ 1 b) (* (/ 1 b) (/ 1 b)))) 2)) (* (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI (+ b a)) 2) (- b a))) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (real->posit16 (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (/ (sqrt (+ b a)) (cbrt PI))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) (/ PI (sqrt (+ b a))) PI PI (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (* (* b b) b) (* (* a a) a))) (/ PI (* (+ a b) (- a b))) (real->posit16 (/ PI (+ b a))) (log (/ (/ (/ PI (+ b a)) 2) (- b a))) (log (/ (/ (/ PI (+ b a)) 2) (- b a))) (log (/ (/ (/ PI (+ b a)) 2) (- b a))) (log (/ (/ (/ PI (+ b a)) 2) (- b a))) (log (/ (/ (/ PI (+ b a)) 2) (- b a))) (exp (/ (/ (/ PI (+ b a)) 2) (- b a))) (* (/ (* (/ PI (+ b a)) (/ PI (+ b a))) 8) (/ (/ PI (+ b a)) (* (- b a) (* (- b a) (- b a))))) (/ (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (* (/ (* (/ PI (+ b a)) (/ PI (+ b a))) (* 8 (* (- b a) (- b a)))) (/ (/ PI (+ b a)) (- b a))) (* (/ (/ (/ PI (+ b a)) 2) (- b a)) (* (/ (/ (/ PI (+ b a)) 2) (- b a)) (/ (/ (/ PI (+ b a)) 2) (- b a)))) (* (cbrt (/ (/ (/ PI (+ b a)) 2) (- b a))) (cbrt (/ (/ (/ PI (+ b a)) 2) (- b a)))) (cbrt (/ (/ (/ PI (+ b a)) 2) (- b a))) (* (/ (/ (/ PI (+ b a)) 2) (- b a)) (* (/ (/ (/ PI (+ b a)) 2) (- b a)) (/ (/ (/ PI (+ b a)) 2) (- b a)))) (sqrt (/ (/ (/ PI (+ b a)) 2) (- b a))) (sqrt (/ (/ (/ PI (+ b a)) 2) (- b a))) (- (/ PI (+ b a))) (* -2 (- b a)) (/ (cbrt (/ PI (+ b a))) (/ 2 (cbrt (/ PI (+ b a))))) (/ (cbrt (/ PI (+ b a))) (- b a)) (/ (sqrt (/ PI (+ b a))) 2) (/ (sqrt (/ PI (+ b a))) (- b a)) (/ (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) 2) (/ (cbrt PI) (* (- b a) (cbrt (+ b a)))) (* (/ (cbrt PI) 2) (/ (cbrt PI) (sqrt (+ b a)))) (/ (cbrt PI) (* (- b a) (sqrt (+ b a)))) (/ (* (cbrt PI) (cbrt PI)) 2) (/ (/ (cbrt PI) (+ b a)) (- b a)) (/ (* (cbrt PI) (cbrt PI)) 2) (/ (/ (cbrt PI) (+ b a)) (- b a)) (/ (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) 2) (/ (/ (sqrt PI) (cbrt (+ b a))) (- b a)) (/ (sqrt PI) (* 2 (sqrt (+ b a)))) (/ (/ (sqrt PI) (sqrt (+ b a))) (- b a)) (/ (sqrt PI) 2) (/ (/ (sqrt PI) (+ b a)) (- b a)) (/ (sqrt PI) 2) (/ (/ (sqrt PI) (+ b a)) (- b a)) (/ 1 (* 2 (* (cbrt (+ b a)) (cbrt (+ b a))))) (/ (/ PI (cbrt (+ b a))) (- b a)) (/ (/ 1 (sqrt (+ b a))) 2) (/ PI (* (- b a) (sqrt (+ b a)))) 1/2 (/ (/ PI (+ b a)) (- b a)) 1/2 (/ (/ PI (+ b a)) (- b a)) 1/2 (/ (/ PI (+ b a)) (- b a)) (/ PI 2) (/ 1 (* (- b a) (+ b a))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) 2) (/ (+ (* a a) (* b (- b a))) (- b a)) (/ PI (* 2 (* (+ a b) (- a b)))) (/ (- a b) (- b a)) (/ 1/2 (- b a)) (/ (* 2 (- b a)) (/ PI (+ b a))) (/ (/ PI (+ b a)) 2) (/ 2 (/ (cbrt (/ PI (+ b a))) (- b a))) (/ 2 (/ (sqrt (/ PI (+ b a))) (- b a))) (/ 2 (/ (/ (cbrt PI) (cbrt (+ b a))) (- b a))) (/ 2 (/ (/ (cbrt PI) (sqrt (+ b a))) (- b a))) (/ (* 2 (- b a)) (/ (cbrt PI) (+ b a))) (/ (* 2 (- b a)) (/ (cbrt PI) (+ b a))) (/ (* 2 (- b a)) (/ (sqrt PI) (cbrt (+ b a)))) (/ 2 (/ (/ (sqrt PI) (sqrt (+ b a))) (- b a))) (/ (* 2 (- b a)) (/ (sqrt PI) (+ b a))) (/ (* 2 (- b a)) (/ (sqrt PI) (+ b a))) (* (/ (* 2 (- b a)) PI) (cbrt (+ b a))) (/ 2 (/ (/ PI (sqrt (+ b a))) (- b a))) (/ (* 2 (- b a)) (/ PI (+ b a))) (/ (* 2 (- b a)) (/ PI (+ b a))) (/ (* 2 (- b a)) (/ PI (+ b a))) (* (+ b a) (* 2 (- b a))) (/ (* 2 (- b a)) (+ (* a a) (* b (- b a)))) (/ (* 2 (- b a)) (- a b)) (/ (/ (/ PI (+ b a)) 2) (- (* (* b b) b) (* (* a a) a))) (/ (/ PI (+ b a)) (* 2 (* (+ b a) (- b a)))) (* (+ b a) (* 2 (- b a))) (real->posit16 (/ (/ (/ PI (+ b a)) 2) (- b a))) (exp (- (/ 1 a) (/ 1 b))) (log (- (/ 1 a) (/ 1 b))) (exp (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (- b a) (* b a) (- (* (/ (/ 1 a) a) (/ 1 a)) (* (/ 1 b) (* (/ 1 b) (/ 1 b)))) (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (/ -1 b) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (/ -1 b) (real->posit16 (- (/ 1 a) (/ 1 b))) 0 0 0 0 0 0 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 2.964 * * * [progress]: adding candidates to table 3.891 * * [progress]: iteration 2 / 4 3.891 * * * [progress]: picking best candidate 3.915 * * * * [pick]: Picked # 3.915 * * * [progress]: localizing error 3.948 * * * [progress]: generating rewritten candidates 3.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.029 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.097 * * * [progress]: generating series expansions 4.097 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.097 * [backup-simplify]: Simplify (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) into (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) 4.097 * [approximate]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in (a b) around 0 4.097 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in b 4.097 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 4.097 * [taylor]: Taking taylor expansion of PI in b 4.097 * [backup-simplify]: Simplify PI into PI 4.097 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 4.097 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.097 * [taylor]: Taking taylor expansion of a in b 4.097 * [backup-simplify]: Simplify a into a 4.097 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.097 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.097 * [taylor]: Taking taylor expansion of b in b 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1 1) into 1 4.098 * [taylor]: Taking taylor expansion of (+ a b) in b 4.098 * [taylor]: Taking taylor expansion of a in b 4.098 * [backup-simplify]: Simplify a into a 4.098 * [taylor]: Taking taylor expansion of b in b 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (- 1) into -1 4.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.099 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 4.099 * [backup-simplify]: Simplify (+ a 0) into a 4.099 * [backup-simplify]: Simplify (/ (* -1 PI) a) into (* -1 (/ PI a)) 4.099 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 4.099 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 4.099 * [taylor]: Taking taylor expansion of PI in a 4.099 * [backup-simplify]: Simplify PI into PI 4.099 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.099 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.099 * [taylor]: Taking taylor expansion of a in a 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.099 * [taylor]: Taking taylor expansion of b in a 4.099 * [backup-simplify]: Simplify b into b 4.099 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.099 * [taylor]: Taking taylor expansion of (+ a b) in a 4.100 * [taylor]: Taking taylor expansion of a in a 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of b in a 4.100 * [backup-simplify]: Simplify b into b 4.100 * [backup-simplify]: Simplify (+ 1 0) into 1 4.100 * [backup-simplify]: Simplify (* PI 1) into PI 4.100 * [backup-simplify]: Simplify (+ 0 b) into b 4.100 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 4.100 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 4.100 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 4.100 * [taylor]: Taking taylor expansion of PI in a 4.100 * [backup-simplify]: Simplify PI into PI 4.100 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.100 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.100 * [taylor]: Taking taylor expansion of a in a 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.101 * [taylor]: Taking taylor expansion of b in a 4.101 * [backup-simplify]: Simplify b into b 4.101 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.101 * [taylor]: Taking taylor expansion of (+ a b) in a 4.101 * [taylor]: Taking taylor expansion of a in a 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of b in a 4.101 * [backup-simplify]: Simplify b into b 4.101 * [backup-simplify]: Simplify (+ 1 0) into 1 4.101 * [backup-simplify]: Simplify (* PI 1) into PI 4.101 * [backup-simplify]: Simplify (+ 0 b) into b 4.102 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 4.102 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.102 * [taylor]: Taking taylor expansion of PI in b 4.102 * [backup-simplify]: Simplify PI into PI 4.102 * [taylor]: Taking taylor expansion of b in b 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ PI 1) into PI 4.102 * [backup-simplify]: Simplify PI into PI 4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 4.103 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 4.103 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 4.103 * [backup-simplify]: Simplify (+ 1 0) into 1 4.103 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 4.103 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 4.103 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 4.103 * [taylor]: Taking taylor expansion of 2 in b 4.104 * [backup-simplify]: Simplify 2 into 2 4.104 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.104 * [taylor]: Taking taylor expansion of PI in b 4.104 * [backup-simplify]: Simplify PI into PI 4.104 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.104 * [taylor]: Taking taylor expansion of b in b 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (/ PI 1) into PI 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 4.106 * [backup-simplify]: Simplify (- 0) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.107 * [backup-simplify]: Simplify (- 0) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 4.109 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 4.109 * [taylor]: Taking taylor expansion of 2 in b 4.109 * [backup-simplify]: Simplify 2 into 2 4.109 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 4.109 * [taylor]: Taking taylor expansion of PI in b 4.109 * [backup-simplify]: Simplify PI into PI 4.109 * [taylor]: Taking taylor expansion of (pow b 3) in b 4.109 * [taylor]: Taking taylor expansion of b in b 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ PI 1) into PI 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.119 * [backup-simplify]: Simplify (- 0) into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.123 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 4.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 4.124 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 4.124 * [taylor]: Taking taylor expansion of 2 in b 4.124 * [backup-simplify]: Simplify 2 into 2 4.124 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 4.124 * [taylor]: Taking taylor expansion of PI in b 4.124 * [backup-simplify]: Simplify PI into PI 4.124 * [taylor]: Taking taylor expansion of (pow b 4) in b 4.124 * [taylor]: Taking taylor expansion of b in b 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (* 1 1) into 1 4.125 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (/ PI 1) into PI 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.139 * [backup-simplify]: Simplify (- 0) into 0 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 4.139 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) 4.139 * [approximate]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 4.139 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in b 4.139 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 4.139 * [taylor]: Taking taylor expansion of (- a b) in b 4.139 * [taylor]: Taking taylor expansion of a in b 4.139 * [backup-simplify]: Simplify a into a 4.139 * [taylor]: Taking taylor expansion of b in b 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [taylor]: Taking taylor expansion of PI in b 4.140 * [backup-simplify]: Simplify PI into PI 4.140 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.140 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.140 * [taylor]: Taking taylor expansion of a in b 4.140 * [backup-simplify]: Simplify a into a 4.140 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.140 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.140 * [taylor]: Taking taylor expansion of b in b 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.141 * [backup-simplify]: Simplify (- 0) into 0 4.141 * [backup-simplify]: Simplify (+ a 0) into a 4.141 * [backup-simplify]: Simplify (* a PI) into (* a PI) 4.141 * [backup-simplify]: Simplify (+ 0 1) into 1 4.141 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 4.141 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 4.141 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 4.141 * [taylor]: Taking taylor expansion of (- a b) in a 4.141 * [taylor]: Taking taylor expansion of a in a 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [taylor]: Taking taylor expansion of b in a 4.141 * [backup-simplify]: Simplify b into b 4.141 * [taylor]: Taking taylor expansion of PI in a 4.141 * [backup-simplify]: Simplify PI into PI 4.141 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.142 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.142 * [taylor]: Taking taylor expansion of a in a 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (/ 1 1) into 1 4.142 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.142 * [taylor]: Taking taylor expansion of b in a 4.142 * [backup-simplify]: Simplify b into b 4.142 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.142 * [backup-simplify]: Simplify (- b) into (- b) 4.142 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.142 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 4.143 * [backup-simplify]: Simplify (+ 1 0) into 1 4.143 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 4.143 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 4.143 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 4.143 * [taylor]: Taking taylor expansion of (- a b) in a 4.143 * [taylor]: Taking taylor expansion of a in a 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [taylor]: Taking taylor expansion of b in a 4.143 * [backup-simplify]: Simplify b into b 4.143 * [taylor]: Taking taylor expansion of PI in a 4.143 * [backup-simplify]: Simplify PI into PI 4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.143 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.143 * [taylor]: Taking taylor expansion of a in a 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ 1 1) into 1 4.144 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.144 * [taylor]: Taking taylor expansion of b in a 4.144 * [backup-simplify]: Simplify b into b 4.144 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.144 * [backup-simplify]: Simplify (- b) into (- b) 4.144 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.144 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 4.144 * [backup-simplify]: Simplify (+ 1 0) into 1 4.144 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 4.145 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 4.145 * [taylor]: Taking taylor expansion of -1 in b 4.145 * [backup-simplify]: Simplify -1 into -1 4.145 * [taylor]: Taking taylor expansion of (* b PI) in b 4.145 * [taylor]: Taking taylor expansion of b in b 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [taylor]: Taking taylor expansion of PI in b 4.145 * [backup-simplify]: Simplify PI into PI 4.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.147 * [backup-simplify]: Simplify (* 0 PI) into 0 4.148 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 4.149 * [backup-simplify]: Simplify (- PI) into (- PI) 4.149 * [backup-simplify]: Simplify (- 0) into 0 4.150 * [backup-simplify]: Simplify (+ 1 0) into 1 4.150 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.151 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 4.151 * [taylor]: Taking taylor expansion of (* 2 PI) in b 4.151 * [taylor]: Taking taylor expansion of 2 in b 4.151 * [backup-simplify]: Simplify 2 into 2 4.151 * [taylor]: Taking taylor expansion of PI in b 4.151 * [backup-simplify]: Simplify PI into PI 4.152 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify (- 0) into 0 4.154 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 4.156 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 4.156 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 4.156 * [taylor]: Taking taylor expansion of 2 in b 4.156 * [backup-simplify]: Simplify 2 into 2 4.156 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.156 * [taylor]: Taking taylor expansion of PI in b 4.156 * [backup-simplify]: Simplify PI into PI 4.156 * [taylor]: Taking taylor expansion of b in b 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (/ PI 1) into PI 4.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.159 * [backup-simplify]: Simplify (- 0) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (- 0) into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.163 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 4.164 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 4.164 * [taylor]: Taking taylor expansion of 2 in b 4.164 * [backup-simplify]: Simplify 2 into 2 4.164 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.164 * [taylor]: Taking taylor expansion of PI in b 4.164 * [backup-simplify]: Simplify PI into PI 4.164 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.164 * [taylor]: Taking taylor expansion of b in b 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (* 1 1) into 1 4.165 * [backup-simplify]: Simplify (/ PI 1) into PI 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 4.169 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) 4.169 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 4.169 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in b 4.169 * [taylor]: Taking taylor expansion of -1 in b 4.169 * [backup-simplify]: Simplify -1 into -1 4.169 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in b 4.169 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 4.169 * [taylor]: Taking taylor expansion of (- b a) in b 4.169 * [taylor]: Taking taylor expansion of b in b 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [taylor]: Taking taylor expansion of a in b 4.169 * [backup-simplify]: Simplify a into a 4.169 * [taylor]: Taking taylor expansion of PI in b 4.169 * [backup-simplify]: Simplify PI into PI 4.169 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.169 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.170 * [taylor]: Taking taylor expansion of a in b 4.170 * [backup-simplify]: Simplify a into a 4.170 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.170 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.170 * [taylor]: Taking taylor expansion of b in b 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [backup-simplify]: Simplify (/ 1 1) into 1 4.170 * [backup-simplify]: Simplify (- a) into (- a) 4.170 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 4.170 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 4.170 * [backup-simplify]: Simplify (+ 0 1) into 1 4.170 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) 1) into (* -1 (* a PI)) 4.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 4.170 * [taylor]: Taking taylor expansion of -1 in a 4.170 * [backup-simplify]: Simplify -1 into -1 4.170 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 4.170 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 4.170 * [taylor]: Taking taylor expansion of (- b a) in a 4.170 * [taylor]: Taking taylor expansion of b in a 4.170 * [backup-simplify]: Simplify b into b 4.170 * [taylor]: Taking taylor expansion of a in a 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.171 * [taylor]: Taking taylor expansion of PI in a 4.171 * [backup-simplify]: Simplify PI into PI 4.171 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.171 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.171 * [taylor]: Taking taylor expansion of a in a 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (/ 1 1) into 1 4.171 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.171 * [taylor]: Taking taylor expansion of b in a 4.171 * [backup-simplify]: Simplify b into b 4.171 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ b 0) into b 4.171 * [backup-simplify]: Simplify (* b PI) into (* PI b) 4.172 * [backup-simplify]: Simplify (+ 1 0) into 1 4.172 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 4.172 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 4.172 * [taylor]: Taking taylor expansion of -1 in a 4.172 * [backup-simplify]: Simplify -1 into -1 4.172 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 4.172 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 4.172 * [taylor]: Taking taylor expansion of (- b a) in a 4.172 * [taylor]: Taking taylor expansion of b in a 4.172 * [backup-simplify]: Simplify b into b 4.172 * [taylor]: Taking taylor expansion of a in a 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [taylor]: Taking taylor expansion of PI in a 4.172 * [backup-simplify]: Simplify PI into PI 4.172 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.172 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.172 * [taylor]: Taking taylor expansion of a in a 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.172 * [taylor]: Taking taylor expansion of b in a 4.172 * [backup-simplify]: Simplify b into b 4.172 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify (+ b 0) into b 4.173 * [backup-simplify]: Simplify (* b PI) into (* PI b) 4.173 * [backup-simplify]: Simplify (+ 1 0) into 1 4.173 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 4.173 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 4.173 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 4.173 * [taylor]: Taking taylor expansion of -1 in b 4.173 * [backup-simplify]: Simplify -1 into -1 4.173 * [taylor]: Taking taylor expansion of (* PI b) in b 4.173 * [taylor]: Taking taylor expansion of PI in b 4.173 * [backup-simplify]: Simplify PI into PI 4.173 * [taylor]: Taking taylor expansion of b in b 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.174 * [backup-simplify]: Simplify (* PI 0) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 4.176 * [backup-simplify]: Simplify (- PI) into (- PI) 4.176 * [backup-simplify]: Simplify (- 1) into -1 4.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.177 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.178 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 4.179 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 4.179 * [taylor]: Taking taylor expansion of (* 2 PI) in b 4.179 * [taylor]: Taking taylor expansion of 2 in b 4.179 * [backup-simplify]: Simplify 2 into 2 4.179 * [taylor]: Taking taylor expansion of PI in b 4.179 * [backup-simplify]: Simplify PI into PI 4.180 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 4.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 4.182 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (- 0) into 0 4.183 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 4.188 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 4.188 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 4.188 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 4.188 * [taylor]: Taking taylor expansion of 2 in b 4.188 * [backup-simplify]: Simplify 2 into 2 4.188 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.189 * [taylor]: Taking taylor expansion of PI in b 4.189 * [backup-simplify]: Simplify PI into PI 4.189 * [taylor]: Taking taylor expansion of b in b 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (/ PI 1) into PI 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.193 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 4.194 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (- 0) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.200 * [backup-simplify]: Simplify (+ 0 0) into 0 4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 4.204 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b))))) into (* 2 (/ PI (pow b 2))) 4.204 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 4.204 * [taylor]: Taking taylor expansion of 2 in b 4.204 * [backup-simplify]: Simplify 2 into 2 4.204 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.204 * [taylor]: Taking taylor expansion of PI in b 4.204 * [backup-simplify]: Simplify PI into PI 4.204 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.204 * [taylor]: Taking taylor expansion of b in b 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.205 * [backup-simplify]: Simplify (/ PI 1) into PI 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 4.213 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.213 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 4.213 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 4.213 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 4.213 * [taylor]: Taking taylor expansion of PI in b 4.213 * [backup-simplify]: Simplify PI into PI 4.213 * [taylor]: Taking taylor expansion of (+ a b) in b 4.213 * [taylor]: Taking taylor expansion of a in b 4.213 * [backup-simplify]: Simplify a into a 4.213 * [taylor]: Taking taylor expansion of b in b 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (+ a 0) into a 4.214 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 4.214 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 4.214 * [taylor]: Taking taylor expansion of PI in a 4.214 * [backup-simplify]: Simplify PI into PI 4.214 * [taylor]: Taking taylor expansion of (+ a b) in a 4.214 * [taylor]: Taking taylor expansion of a in a 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [taylor]: Taking taylor expansion of b in a 4.214 * [backup-simplify]: Simplify b into b 4.214 * [backup-simplify]: Simplify (+ 0 b) into b 4.214 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 4.214 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 4.214 * [taylor]: Taking taylor expansion of PI in a 4.214 * [backup-simplify]: Simplify PI into PI 4.214 * [taylor]: Taking taylor expansion of (+ a b) in a 4.214 * [taylor]: Taking taylor expansion of a in a 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [taylor]: Taking taylor expansion of b in a 4.214 * [backup-simplify]: Simplify b into b 4.214 * [backup-simplify]: Simplify (+ 0 b) into b 4.214 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 4.214 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.214 * [taylor]: Taking taylor expansion of PI in b 4.214 * [backup-simplify]: Simplify PI into PI 4.214 * [taylor]: Taking taylor expansion of b in b 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (/ PI 1) into PI 4.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ 1 0) into 1 4.217 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 4.217 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 4.217 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.217 * [taylor]: Taking taylor expansion of PI in b 4.217 * [backup-simplify]: Simplify PI into PI 4.217 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.217 * [taylor]: Taking taylor expansion of b in b 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (* 1 1) into 1 4.218 * [backup-simplify]: Simplify (/ PI 1) into PI 4.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (- 0) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 4.224 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 4.224 * [taylor]: Taking taylor expansion of PI in b 4.224 * [backup-simplify]: Simplify PI into PI 4.224 * [taylor]: Taking taylor expansion of (pow b 3) in b 4.224 * [taylor]: Taking taylor expansion of b in b 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (* 1 1) into 1 4.225 * [backup-simplify]: Simplify (* 1 1) into 1 4.226 * [backup-simplify]: Simplify (/ PI 1) into PI 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (- 0) into 0 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 4.239 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 4.239 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 4.239 * [taylor]: Taking taylor expansion of PI in b 4.239 * [backup-simplify]: Simplify PI into PI 4.239 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.239 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.239 * [taylor]: Taking taylor expansion of a in b 4.239 * [backup-simplify]: Simplify a into a 4.239 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.239 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.239 * [taylor]: Taking taylor expansion of b in b 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [backup-simplify]: Simplify (+ 0 1) into 1 4.240 * [backup-simplify]: Simplify (/ PI 1) into PI 4.240 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 4.240 * [taylor]: Taking taylor expansion of PI in a 4.240 * [backup-simplify]: Simplify PI into PI 4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.240 * [taylor]: Taking taylor expansion of a in a 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.240 * [taylor]: Taking taylor expansion of b in a 4.240 * [backup-simplify]: Simplify b into b 4.240 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.241 * [backup-simplify]: Simplify (+ 1 0) into 1 4.241 * [backup-simplify]: Simplify (/ PI 1) into PI 4.241 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 4.241 * [taylor]: Taking taylor expansion of PI in a 4.241 * [backup-simplify]: Simplify PI into PI 4.241 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.241 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.241 * [taylor]: Taking taylor expansion of a in a 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.241 * [taylor]: Taking taylor expansion of b in a 4.242 * [backup-simplify]: Simplify b into b 4.242 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.242 * [backup-simplify]: Simplify (+ 1 0) into 1 4.242 * [backup-simplify]: Simplify (/ PI 1) into PI 4.242 * [taylor]: Taking taylor expansion of PI in b 4.242 * [backup-simplify]: Simplify PI into PI 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.243 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 4.243 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 4.243 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.243 * [taylor]: Taking taylor expansion of PI in b 4.243 * [backup-simplify]: Simplify PI into PI 4.243 * [taylor]: Taking taylor expansion of b in b 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (/ PI 1) into PI 4.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 4.247 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.247 * [taylor]: Taking taylor expansion of PI in b 4.247 * [backup-simplify]: Simplify PI into PI 4.247 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.247 * [taylor]: Taking taylor expansion of b in b 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1 1) into 1 4.247 * [backup-simplify]: Simplify (/ PI 1) into PI 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (- 0) into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 4.252 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 4.252 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 4.252 * [taylor]: Taking taylor expansion of -1 in b 4.252 * [backup-simplify]: Simplify -1 into -1 4.252 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 4.252 * [taylor]: Taking taylor expansion of PI in b 4.252 * [backup-simplify]: Simplify PI into PI 4.252 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.252 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.252 * [taylor]: Taking taylor expansion of a in b 4.252 * [backup-simplify]: Simplify a into a 4.252 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.252 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.252 * [taylor]: Taking taylor expansion of b in b 4.252 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.253 * [backup-simplify]: Simplify (+ 0 1) into 1 4.253 * [backup-simplify]: Simplify (/ PI 1) into PI 4.253 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 4.253 * [taylor]: Taking taylor expansion of -1 in a 4.253 * [backup-simplify]: Simplify -1 into -1 4.253 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 4.253 * [taylor]: Taking taylor expansion of PI in a 4.253 * [backup-simplify]: Simplify PI into PI 4.253 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.253 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.253 * [taylor]: Taking taylor expansion of a in a 4.253 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ 1 1) into 1 4.255 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.255 * [taylor]: Taking taylor expansion of b in a 4.255 * [backup-simplify]: Simplify b into b 4.255 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.256 * [backup-simplify]: Simplify (+ 1 0) into 1 4.256 * [backup-simplify]: Simplify (/ PI 1) into PI 4.256 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 4.256 * [taylor]: Taking taylor expansion of -1 in a 4.256 * [backup-simplify]: Simplify -1 into -1 4.256 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 4.256 * [taylor]: Taking taylor expansion of PI in a 4.256 * [backup-simplify]: Simplify PI into PI 4.256 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.256 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.256 * [taylor]: Taking taylor expansion of a in a 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (/ 1 1) into 1 4.257 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.257 * [taylor]: Taking taylor expansion of b in a 4.257 * [backup-simplify]: Simplify b into b 4.257 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.257 * [backup-simplify]: Simplify (+ 1 0) into 1 4.257 * [backup-simplify]: Simplify (/ PI 1) into PI 4.258 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.258 * [taylor]: Taking taylor expansion of (* -1 PI) in b 4.258 * [taylor]: Taking taylor expansion of -1 in b 4.258 * [backup-simplify]: Simplify -1 into -1 4.258 * [taylor]: Taking taylor expansion of PI in b 4.258 * [backup-simplify]: Simplify PI into PI 4.258 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 4.260 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 4.260 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.260 * [taylor]: Taking taylor expansion of PI in b 4.260 * [backup-simplify]: Simplify PI into PI 4.260 * [taylor]: Taking taylor expansion of b in b 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ PI 1) into PI 4.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 4.264 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 4.264 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 4.264 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.264 * [taylor]: Taking taylor expansion of PI in b 4.264 * [backup-simplify]: Simplify PI into PI 4.264 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.264 * [taylor]: Taking taylor expansion of b in b 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (* 1 1) into 1 4.265 * [backup-simplify]: Simplify (/ PI 1) into PI 4.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (- 0) into 0 4.269 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.272 * [backup-simplify]: Simplify (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) into (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 4.272 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 4.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 4.272 * [taylor]: Taking taylor expansion of 1/2 in b 4.272 * [backup-simplify]: Simplify 1/2 into 1/2 4.273 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 4.273 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 4.273 * [taylor]: Taking taylor expansion of PI in b 4.273 * [backup-simplify]: Simplify PI into PI 4.273 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 4.273 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.273 * [taylor]: Taking taylor expansion of a in b 4.273 * [backup-simplify]: Simplify a into a 4.273 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.273 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.273 * [taylor]: Taking taylor expansion of b in b 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 4.273 * [taylor]: Taking taylor expansion of (+ a b) in b 4.273 * [taylor]: Taking taylor expansion of a in b 4.273 * [backup-simplify]: Simplify a into a 4.273 * [taylor]: Taking taylor expansion of b in b 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (- b a) in b 4.274 * [taylor]: Taking taylor expansion of b in b 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of a in b 4.274 * [backup-simplify]: Simplify a into a 4.274 * [backup-simplify]: Simplify (- 1) into -1 4.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.275 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 4.275 * [backup-simplify]: Simplify (+ a 0) into a 4.275 * [backup-simplify]: Simplify (- a) into (- a) 4.275 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 4.275 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 4.276 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 4.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 4.276 * [taylor]: Taking taylor expansion of 1/2 in a 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 4.276 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 4.276 * [taylor]: Taking taylor expansion of PI in a 4.276 * [backup-simplify]: Simplify PI into PI 4.276 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.276 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.276 * [taylor]: Taking taylor expansion of a in a 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ 1 1) into 1 4.277 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.277 * [taylor]: Taking taylor expansion of b in a 4.277 * [backup-simplify]: Simplify b into b 4.277 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.277 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 4.277 * [taylor]: Taking taylor expansion of (+ a b) in a 4.277 * [taylor]: Taking taylor expansion of a in a 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [taylor]: Taking taylor expansion of b in a 4.277 * [backup-simplify]: Simplify b into b 4.277 * [taylor]: Taking taylor expansion of (- b a) in a 4.277 * [taylor]: Taking taylor expansion of b in a 4.277 * [backup-simplify]: Simplify b into b 4.277 * [taylor]: Taking taylor expansion of a in a 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (+ 1 0) into 1 4.278 * [backup-simplify]: Simplify (* PI 1) into PI 4.278 * [backup-simplify]: Simplify (+ 0 b) into b 4.279 * [backup-simplify]: Simplify (- 0) into 0 4.279 * [backup-simplify]: Simplify (+ b 0) into b 4.279 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.279 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 4.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 4.279 * [taylor]: Taking taylor expansion of 1/2 in a 4.279 * [backup-simplify]: Simplify 1/2 into 1/2 4.279 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 4.279 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 4.279 * [taylor]: Taking taylor expansion of PI in a 4.279 * [backup-simplify]: Simplify PI into PI 4.279 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.279 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.279 * [taylor]: Taking taylor expansion of a in a 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.280 * [taylor]: Taking taylor expansion of b in a 4.280 * [backup-simplify]: Simplify b into b 4.280 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.280 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 4.280 * [taylor]: Taking taylor expansion of (+ a b) in a 4.280 * [taylor]: Taking taylor expansion of a in a 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of b in a 4.280 * [backup-simplify]: Simplify b into b 4.280 * [taylor]: Taking taylor expansion of (- b a) in a 4.280 * [taylor]: Taking taylor expansion of b in a 4.280 * [backup-simplify]: Simplify b into b 4.280 * [taylor]: Taking taylor expansion of a in a 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (+ 1 0) into 1 4.281 * [backup-simplify]: Simplify (* PI 1) into PI 4.281 * [backup-simplify]: Simplify (+ 0 b) into b 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.282 * [backup-simplify]: Simplify (+ b 0) into b 4.282 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.282 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 4.282 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 4.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 4.282 * [taylor]: Taking taylor expansion of 1/2 in b 4.282 * [backup-simplify]: Simplify 1/2 into 1/2 4.282 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 4.282 * [taylor]: Taking taylor expansion of PI in b 4.282 * [backup-simplify]: Simplify PI into PI 4.282 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.282 * [taylor]: Taking taylor expansion of b in b 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (* 1 1) into 1 4.283 * [backup-simplify]: Simplify (/ PI 1) into PI 4.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 4.287 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 4.287 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 4.288 * [backup-simplify]: Simplify (- 1) into -1 4.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.288 * [backup-simplify]: Simplify (+ 1 0) into 1 4.289 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 4.289 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 4.289 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 4.289 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 4.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 4.289 * [taylor]: Taking taylor expansion of 1/2 in b 4.289 * [backup-simplify]: Simplify 1/2 into 1/2 4.289 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 4.289 * [taylor]: Taking taylor expansion of PI in b 4.289 * [backup-simplify]: Simplify PI into PI 4.289 * [taylor]: Taking taylor expansion of (pow b 3) in b 4.289 * [taylor]: Taking taylor expansion of b in b 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.290 * [backup-simplify]: Simplify (* 1 1) into 1 4.291 * [backup-simplify]: Simplify (/ PI 1) into PI 4.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.301 * [backup-simplify]: Simplify (- 0) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 4.302 * [backup-simplify]: Simplify (- 0) into 0 4.302 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 4.303 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 4.304 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 4.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 4.304 * [taylor]: Taking taylor expansion of 1/2 in b 4.304 * [backup-simplify]: Simplify 1/2 into 1/2 4.304 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 4.304 * [taylor]: Taking taylor expansion of PI in b 4.304 * [backup-simplify]: Simplify PI into PI 4.304 * [taylor]: Taking taylor expansion of (pow b 4) in b 4.304 * [taylor]: Taking taylor expansion of b in b 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify (* 1 1) into 1 4.304 * [backup-simplify]: Simplify (* 1 1) into 1 4.305 * [backup-simplify]: Simplify (/ PI 1) into PI 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (/ (* (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (* 2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 4.315 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 4.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 4.315 * [taylor]: Taking taylor expansion of 1/2 in b 4.315 * [backup-simplify]: Simplify 1/2 into 1/2 4.315 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 4.315 * [taylor]: Taking taylor expansion of (* PI (- a b)) in b 4.315 * [taylor]: Taking taylor expansion of PI in b 4.315 * [backup-simplify]: Simplify PI into PI 4.315 * [taylor]: Taking taylor expansion of (- a b) in b 4.315 * [taylor]: Taking taylor expansion of a in b 4.315 * [backup-simplify]: Simplify a into a 4.315 * [taylor]: Taking taylor expansion of b in b 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.316 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.316 * [taylor]: Taking taylor expansion of a in b 4.316 * [backup-simplify]: Simplify a into a 4.316 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.316 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.316 * [taylor]: Taking taylor expansion of b in b 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (/ 1 1) into 1 4.316 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 4.316 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.316 * [taylor]: Taking taylor expansion of b in b 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (/ 1 1) into 1 4.316 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.316 * [taylor]: Taking taylor expansion of a in b 4.316 * [backup-simplify]: Simplify a into a 4.316 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.317 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (+ a 0) into a 4.317 * [backup-simplify]: Simplify (* PI a) into (* a PI) 4.317 * [backup-simplify]: Simplify (+ 0 1) into 1 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.317 * [backup-simplify]: Simplify (* 1 1) into 1 4.317 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 4.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 4.318 * [taylor]: Taking taylor expansion of 1/2 in a 4.318 * [backup-simplify]: Simplify 1/2 into 1/2 4.318 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 4.318 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 4.318 * [taylor]: Taking taylor expansion of PI in a 4.318 * [backup-simplify]: Simplify PI into PI 4.318 * [taylor]: Taking taylor expansion of (- a b) in a 4.318 * [taylor]: Taking taylor expansion of a in a 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [taylor]: Taking taylor expansion of b in a 4.318 * [backup-simplify]: Simplify b into b 4.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.318 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.318 * [taylor]: Taking taylor expansion of a in a 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.318 * [taylor]: Taking taylor expansion of b in a 4.318 * [backup-simplify]: Simplify b into b 4.318 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.318 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 4.318 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.318 * [taylor]: Taking taylor expansion of b in a 4.318 * [backup-simplify]: Simplify b into b 4.318 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.318 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.318 * [taylor]: Taking taylor expansion of a in a 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [backup-simplify]: Simplify (- b) into (- b) 4.319 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.319 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 4.319 * [backup-simplify]: Simplify (+ 1 0) into 1 4.319 * [backup-simplify]: Simplify (- 1) into -1 4.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.320 * [backup-simplify]: Simplify (* 1 -1) into -1 4.320 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 4.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 4.320 * [taylor]: Taking taylor expansion of 1/2 in a 4.320 * [backup-simplify]: Simplify 1/2 into 1/2 4.320 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 4.320 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 4.320 * [taylor]: Taking taylor expansion of PI in a 4.320 * [backup-simplify]: Simplify PI into PI 4.320 * [taylor]: Taking taylor expansion of (- a b) in a 4.320 * [taylor]: Taking taylor expansion of a in a 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [taylor]: Taking taylor expansion of b in a 4.320 * [backup-simplify]: Simplify b into b 4.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 4.320 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.320 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.320 * [taylor]: Taking taylor expansion of a in a 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (/ 1 1) into 1 4.320 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.320 * [taylor]: Taking taylor expansion of b in a 4.320 * [backup-simplify]: Simplify b into b 4.320 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.320 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 4.320 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.320 * [taylor]: Taking taylor expansion of b in a 4.320 * [backup-simplify]: Simplify b into b 4.320 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.320 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.320 * [taylor]: Taking taylor expansion of a in a 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [backup-simplify]: Simplify (- b) into (- b) 4.321 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.321 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 4.321 * [backup-simplify]: Simplify (+ 1 0) into 1 4.321 * [backup-simplify]: Simplify (- 1) into -1 4.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.322 * [backup-simplify]: Simplify (* 1 -1) into -1 4.322 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 4.322 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 4.322 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 4.322 * [taylor]: Taking taylor expansion of 1/2 in b 4.322 * [backup-simplify]: Simplify 1/2 into 1/2 4.322 * [taylor]: Taking taylor expansion of (* PI b) in b 4.322 * [taylor]: Taking taylor expansion of PI in b 4.322 * [backup-simplify]: Simplify PI into PI 4.322 * [taylor]: Taking taylor expansion of b in b 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 4.324 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.324 * [backup-simplify]: Simplify (* PI 0) into 0 4.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 1 0) into 1 4.326 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 (- b))) into PI 4.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.327 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 4.328 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* PI b) (/ 0 -1)))) into (- PI) 4.329 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 4.329 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 4.329 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.329 * [taylor]: Taking taylor expansion of 1/2 in b 4.329 * [backup-simplify]: Simplify 1/2 into 1/2 4.329 * [taylor]: Taking taylor expansion of PI in b 4.329 * [backup-simplify]: Simplify PI into PI 4.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 (- b)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (- 0) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.339 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 4.340 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* PI b) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 4.341 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 4.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 4.341 * [taylor]: Taking taylor expansion of 1/2 in b 4.341 * [backup-simplify]: Simplify 1/2 into 1/2 4.341 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.341 * [taylor]: Taking taylor expansion of PI in b 4.341 * [backup-simplify]: Simplify PI into PI 4.341 * [taylor]: Taking taylor expansion of b in b 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (/ PI 1) into PI 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (/ (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 4.347 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 4.347 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 4.347 * [taylor]: Taking taylor expansion of -1/2 in b 4.347 * [backup-simplify]: Simplify -1/2 into -1/2 4.347 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 4.347 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 4.347 * [taylor]: Taking taylor expansion of (- b a) in b 4.347 * [taylor]: Taking taylor expansion of b in b 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [taylor]: Taking taylor expansion of a in b 4.347 * [backup-simplify]: Simplify a into a 4.347 * [taylor]: Taking taylor expansion of PI in b 4.347 * [backup-simplify]: Simplify PI into PI 4.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 4.347 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.347 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.347 * [taylor]: Taking taylor expansion of a in b 4.347 * [backup-simplify]: Simplify a into a 4.347 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.347 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.347 * [taylor]: Taking taylor expansion of b in b 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 4.348 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.348 * [taylor]: Taking taylor expansion of a in b 4.348 * [backup-simplify]: Simplify a into a 4.348 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.348 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.348 * [taylor]: Taking taylor expansion of b in b 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [backup-simplify]: Simplify (- a) into (- a) 4.348 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 4.348 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 4.349 * [backup-simplify]: Simplify (+ 0 1) into 1 4.349 * [backup-simplify]: Simplify (- 1) into -1 4.349 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.349 * [backup-simplify]: Simplify (* 1 -1) into -1 4.349 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 4.349 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 4.349 * [taylor]: Taking taylor expansion of -1/2 in a 4.349 * [backup-simplify]: Simplify -1/2 into -1/2 4.349 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 4.349 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 4.349 * [taylor]: Taking taylor expansion of (- b a) in a 4.349 * [taylor]: Taking taylor expansion of b in a 4.350 * [backup-simplify]: Simplify b into b 4.350 * [taylor]: Taking taylor expansion of a in a 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [taylor]: Taking taylor expansion of PI in a 4.350 * [backup-simplify]: Simplify PI into PI 4.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 4.350 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.350 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.350 * [taylor]: Taking taylor expansion of a in a 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (/ 1 1) into 1 4.350 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.350 * [taylor]: Taking taylor expansion of b in a 4.350 * [backup-simplify]: Simplify b into b 4.350 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.350 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.350 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.350 * [taylor]: Taking taylor expansion of a in a 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (/ 1 1) into 1 4.350 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.350 * [taylor]: Taking taylor expansion of b in a 4.350 * [backup-simplify]: Simplify b into b 4.350 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify (+ b 0) into b 4.351 * [backup-simplify]: Simplify (* b PI) into (* PI b) 4.351 * [backup-simplify]: Simplify (+ 1 0) into 1 4.351 * [backup-simplify]: Simplify (+ 1 0) into 1 4.351 * [backup-simplify]: Simplify (* 1 1) into 1 4.352 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 4.352 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 4.352 * [taylor]: Taking taylor expansion of -1/2 in a 4.352 * [backup-simplify]: Simplify -1/2 into -1/2 4.352 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 4.352 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 4.352 * [taylor]: Taking taylor expansion of (- b a) in a 4.352 * [taylor]: Taking taylor expansion of b in a 4.352 * [backup-simplify]: Simplify b into b 4.352 * [taylor]: Taking taylor expansion of a in a 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [taylor]: Taking taylor expansion of PI in a 4.352 * [backup-simplify]: Simplify PI into PI 4.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 4.352 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.352 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.352 * [taylor]: Taking taylor expansion of a in a 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.352 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.352 * [taylor]: Taking taylor expansion of b in a 4.352 * [backup-simplify]: Simplify b into b 4.352 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.352 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.352 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.352 * [taylor]: Taking taylor expansion of a in a 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [backup-simplify]: Simplify (/ 1 1) into 1 4.353 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.353 * [taylor]: Taking taylor expansion of b in a 4.353 * [backup-simplify]: Simplify b into b 4.353 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.353 * [backup-simplify]: Simplify (- 0) into 0 4.353 * [backup-simplify]: Simplify (+ b 0) into b 4.353 * [backup-simplify]: Simplify (* b PI) into (* PI b) 4.353 * [backup-simplify]: Simplify (+ 1 0) into 1 4.353 * [backup-simplify]: Simplify (+ 1 0) into 1 4.354 * [backup-simplify]: Simplify (* 1 1) into 1 4.354 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 4.354 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 4.354 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 4.354 * [taylor]: Taking taylor expansion of -1/2 in b 4.354 * [backup-simplify]: Simplify -1/2 into -1/2 4.354 * [taylor]: Taking taylor expansion of (* PI b) in b 4.354 * [taylor]: Taking taylor expansion of PI in b 4.354 * [backup-simplify]: Simplify PI into PI 4.354 * [taylor]: Taking taylor expansion of b in b 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.355 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 4.356 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.356 * [backup-simplify]: Simplify (* PI 0) into 0 4.356 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 4.356 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify (- 1) into -1 4.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.357 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 4.358 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 4.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.358 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.359 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 4.359 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 4.360 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 4.360 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.360 * [taylor]: Taking taylor expansion of 1/2 in b 4.360 * [backup-simplify]: Simplify 1/2 into 1/2 4.360 * [taylor]: Taking taylor expansion of PI in b 4.360 * [backup-simplify]: Simplify PI into PI 4.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.364 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify (- 0) into 0 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.366 * [backup-simplify]: Simplify (- 0) into 0 4.366 * [backup-simplify]: Simplify (+ 0 0) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 4.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 4.369 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 4.369 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 4.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 4.369 * [taylor]: Taking taylor expansion of 1/2 in b 4.369 * [backup-simplify]: Simplify 1/2 into 1/2 4.369 * [taylor]: Taking taylor expansion of (/ PI b) in b 4.369 * [taylor]: Taking taylor expansion of PI in b 4.369 * [backup-simplify]: Simplify PI into PI 4.369 * [taylor]: Taking taylor expansion of b in b 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (/ PI 1) into PI 4.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.372 * [backup-simplify]: Simplify (- 0) into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.373 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.375 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.375 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 4.375 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 4.375 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 4.375 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.375 * [taylor]: Taking taylor expansion of a in b 4.375 * [backup-simplify]: Simplify a into a 4.375 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.375 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.375 * [taylor]: Taking taylor expansion of b in b 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (/ 1 1) into 1 4.376 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.376 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.376 * [taylor]: Taking taylor expansion of a in a 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (/ 1 1) into 1 4.376 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.376 * [taylor]: Taking taylor expansion of b in a 4.376 * [backup-simplify]: Simplify b into b 4.376 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.377 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.377 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.377 * [taylor]: Taking taylor expansion of a in a 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.377 * [taylor]: Taking taylor expansion of b in a 4.377 * [backup-simplify]: Simplify b into b 4.377 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.378 * [backup-simplify]: Simplify (+ 1 0) into 1 4.378 * [taylor]: Taking taylor expansion of 1 in b 4.378 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 4.379 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 4.379 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 4.379 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.379 * [taylor]: Taking taylor expansion of b in b 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [backup-simplify]: Simplify (/ 1 1) into 1 4.380 * [backup-simplify]: Simplify (- 1) into -1 4.380 * [backup-simplify]: Simplify -1 into -1 4.380 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [taylor]: Taking taylor expansion of 0 in b 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.384 * [backup-simplify]: Simplify (- 0) into 0 4.385 * [backup-simplify]: Simplify (+ 0 0) into 0 4.385 * [taylor]: Taking taylor expansion of 0 in b 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (- 0) into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.388 * [backup-simplify]: Simplify (- 0) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.388 * [taylor]: Taking taylor expansion of 0 in b 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 4.388 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 4.388 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 4.388 * [taylor]: Taking taylor expansion of (- a b) in b 4.388 * [taylor]: Taking taylor expansion of a in b 4.388 * [backup-simplify]: Simplify a into a 4.388 * [taylor]: Taking taylor expansion of b in b 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [taylor]: Taking taylor expansion of (- a b) in a 4.389 * [taylor]: Taking taylor expansion of a in a 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [taylor]: Taking taylor expansion of b in a 4.389 * [backup-simplify]: Simplify b into b 4.389 * [taylor]: Taking taylor expansion of (- a b) in a 4.389 * [taylor]: Taking taylor expansion of a in a 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [taylor]: Taking taylor expansion of b in a 4.389 * [backup-simplify]: Simplify b into b 4.389 * [backup-simplify]: Simplify (- b) into (- b) 4.389 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.389 * [taylor]: Taking taylor expansion of (- b) in b 4.389 * [taylor]: Taking taylor expansion of b in b 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.389 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [taylor]: Taking taylor expansion of 1 in b 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (- 1) into -1 4.391 * [backup-simplify]: Simplify -1 into -1 4.391 * [backup-simplify]: Simplify (- 0) into 0 4.392 * [backup-simplify]: Simplify (+ 0 0) into 0 4.392 * [taylor]: Taking taylor expansion of 0 in b 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify (- 0) into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify (- 0) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [taylor]: Taking taylor expansion of 0 in b 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 4.394 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 4.394 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 4.394 * [taylor]: Taking taylor expansion of (- b a) in b 4.394 * [taylor]: Taking taylor expansion of b in b 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [taylor]: Taking taylor expansion of a in b 4.394 * [backup-simplify]: Simplify a into a 4.394 * [taylor]: Taking taylor expansion of (- b a) in a 4.394 * [taylor]: Taking taylor expansion of b in a 4.394 * [backup-simplify]: Simplify b into b 4.394 * [taylor]: Taking taylor expansion of a in a 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [taylor]: Taking taylor expansion of (- b a) in a 4.394 * [taylor]: Taking taylor expansion of b in a 4.394 * [backup-simplify]: Simplify b into b 4.394 * [taylor]: Taking taylor expansion of a in a 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify (- 0) into 0 4.395 * [backup-simplify]: Simplify (+ b 0) into b 4.395 * [taylor]: Taking taylor expansion of b in b 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (- 1) into -1 4.396 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.396 * [taylor]: Taking taylor expansion of -1 in b 4.396 * [backup-simplify]: Simplify -1 into -1 4.396 * [backup-simplify]: Simplify -1 into -1 4.396 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [taylor]: Taking taylor expansion of 0 in b 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (- 0) into 0 4.398 * [backup-simplify]: Simplify (+ 0 0) into 0 4.398 * [taylor]: Taking taylor expansion of 0 in b 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 4.398 * * * [progress]: simplifying candidates 4.399 * * * * [progress]: [ 1 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 2 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 3 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 4 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 5 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 6 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 7 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 8 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 9 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 10 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 11 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 12 / 175 ] simplifiying candidate # 4.399 * * * * [progress]: [ 13 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 14 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 15 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 16 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 17 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 18 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 19 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 20 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 21 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 22 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 23 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 24 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 25 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 26 / 175 ] simplifiying candidate # 4.400 * * * * [progress]: [ 27 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 28 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 29 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 30 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 31 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 32 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 33 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 34 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 35 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 36 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 37 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 38 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 39 / 175 ] simplifiying candidate # 4.401 * * * * [progress]: [ 40 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 41 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 42 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 43 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 44 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 45 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 46 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 47 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 48 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 49 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 50 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 51 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 52 / 175 ] simplifiying candidate # 4.402 * * * * [progress]: [ 53 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 54 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 55 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 56 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 57 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 58 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 59 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 60 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 61 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 62 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 63 / 175 ] simplifiying candidate #real (real->posit16 (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))))) (* 2 (- b a))))> 4.403 * * * * [progress]: [ 64 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 65 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 66 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 67 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 68 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 69 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 70 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 71 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 72 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 73 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 74 / 175 ] simplifiying candidate # 4.403 * * * * [progress]: [ 75 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 76 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 77 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 78 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 79 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 80 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 81 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 82 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 83 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 84 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 85 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 86 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 87 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 88 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 89 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 90 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 91 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 92 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 93 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 94 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 95 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 96 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 97 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 98 / 175 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))))> 4.404 * * * * [progress]: [ 99 / 175 ] simplifiying candidate # 4.404 * * * * [progress]: [ 100 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 101 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 102 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 103 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 104 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 105 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 106 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 107 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 108 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 109 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 110 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 111 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 112 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 113 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 114 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 115 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 116 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 117 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 118 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 119 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 120 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 121 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 122 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 123 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 124 / 175 ] simplifiying candidate # 4.405 * * * * [progress]: [ 125 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 126 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 127 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 128 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 129 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 130 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 131 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 132 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 133 / 175 ] simplifiying candidate #real (real->posit16 (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))))))> 4.406 * * * * [progress]: [ 134 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 135 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 136 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 137 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 138 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 139 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 140 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 141 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 142 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 143 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 144 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 145 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 146 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 147 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 148 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 149 / 175 ] simplifiying candidate # 4.406 * * * * [progress]: [ 150 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 151 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 152 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 153 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 154 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 155 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 156 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 157 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 158 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 159 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 160 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 161 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 162 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 163 / 175 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b))))) (* 2 (- b a))))> 4.407 * * * * [progress]: [ 164 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 165 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 166 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 167 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 168 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 169 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 170 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 171 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 172 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 173 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 174 / 175 ] simplifiying candidate # 4.407 * * * * [progress]: [ 175 / 175 ] simplifiying candidate # 4.409 * [simplify]: Simplifying: (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (+ (- (log PI) (log (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (+ (log (/ PI (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (exp (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))))) (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (sqrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (sqrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* PI (- (* 1 b) (* a 1))) (* (+ a b) (* a b)) (* PI (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) (* PI (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ a b) (+ (/ 1 a) (/ 1 b))) (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ (sqrt PI) (sqrt (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ (sqrt PI) (sqrt (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) (/ 1 a)) (* (/ PI (+ a b)) (- (/ 1 b))) (* (/ PI (+ a b)) (/ 1 a)) (* (/ PI (+ a b)) (- (/ 1 b))) (* (/ 1 a) (/ PI (+ a b))) (* (- (/ 1 b)) (/ PI (+ a b))) (* (/ 1 a) (/ PI (+ a b))) (* (- (/ 1 b)) (/ PI (+ a b))) (* (/ PI (+ a b)) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (* (/ PI (+ a b)) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) 1) (* (/ PI (+ a b)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (/ PI (+ a b)) (+ (sqrt (/ 1 a)) (/ (sqrt 1) (sqrt b)))) (* (/ PI (+ a b)) (+ (sqrt (/ 1 a)) (/ 1 (sqrt b)))) (* (/ PI (+ a b)) (+ (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b)))) (* (/ PI (+ a b)) (+ (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b)))) (* (/ PI (+ a b)) (+ (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b)))) (* (/ PI (+ a b)) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b)))) (* (/ PI (+ a b)) (+ (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b)))) (* (/ PI (+ a b)) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b)))) (* (/ PI (+ a b)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ PI (+ a b)) (/ (sqrt 1) 1)) (* (/ PI (+ a b)) (/ 1 1)) (* (/ PI (+ a b)) 1) (* (/ PI (+ a b)) 1) (* (/ PI (+ a b)) 1) (* (/ PI (+ a b)) 1) (* (cbrt (/ PI (+ a b))) (- (/ 1 a) (/ 1 b))) (* (sqrt (/ PI (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ (cbrt PI) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ (cbrt PI) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ (cbrt PI) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ (cbrt PI) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ (sqrt PI) (cbrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ (sqrt PI) (sqrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ (sqrt PI) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ (sqrt PI) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (cbrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ PI (sqrt (+ a b))) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ 1 (+ a b)) (- (/ 1 a) (/ 1 b))) (* (+ (* a a) (- (* b b) (* a b))) (- (/ 1 a) (/ 1 b))) (* (- a b) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (* 1 b) (* a 1))) (* (/ PI (+ a b)) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (* (/ PI (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* PI (- (/ 1 a) (/ 1 b))) (real->posit16 (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (+ (- (log PI) (log (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (+ (log 2) (log (- b a)))) (- (+ (- (log PI) (log (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (* 2 (- b a)))) (- (+ (log (/ PI (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (+ (log 2) (log (- b a)))) (- (+ (log (/ PI (+ a b))) (log (- (/ 1 a) (/ 1 b)))) (log (* 2 (- b a)))) (- (log (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (+ (log 2) (log (- b a)))) (- (log (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (log (* 2 (- b a)))) (log (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (exp (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (/ (* (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a)))) (/ (* (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (/ (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (/ (* (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (* (cbrt (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (cbrt (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))))) (cbrt (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (* (* (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (sqrt (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (sqrt (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (- (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (- (* 2 (- b a))) (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (* 2 (- b a))) (/ (* 2 (- b a)) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) 2) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b))) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- (pow b 3) (pow a 3)))) (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- (* b b) (* a a)))) (* (* 2 (- b a)) (* (+ a b) (* a b))) (* (* 2 (- b a)) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))) (* (* 2 (- b a)) (* (+ a b) (+ (/ 1 a) (/ 1 b)))) (* (* 2 (- b a)) (* a b)) (* (* 2 (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) (* (* 2 (- b a)) (+ (/ 1 a) (/ 1 b))) (* (* 2 (- b a)) (+ a b)) (real->posit16 (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))) (/ (exp (/ 1 a)) (exp (/ 1 b))) (log (- (/ 1 a) (/ 1 b))) (exp (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (- (* 1 b) (* a 1)) (* a b) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (- (/ 1 b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (/ 1 a) (/ 1 b)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ (sqrt (/ 1 a)) (/ (sqrt 1) (sqrt b))) (- (sqrt (/ 1 a)) (/ (sqrt 1) (sqrt b))) (+ (sqrt (/ 1 a)) (/ 1 (sqrt b))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))) (- (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))) (+ (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))) (- (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))) (+ (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))) (- (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))) (- (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ (cbrt 1) a) (/ (cbrt 1) b)) (- (/ (sqrt 1) a) (/ (sqrt 1) b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 b)) (real->posit16 (- (/ 1 a) (/ 1 b))) (/ PI (* a b)) (* -1 (/ PI (* a b))) (* -1 (/ PI (* a b))) 0 0 0 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 4.411 * * [simplify]: iteration 0: 247 enodes 4.509 * * [simplify]: iteration 1: 790 enodes 4.697 * * [simplify]: iteration 2: 2002 enodes 5.137 * * [simplify]: iteration complete: 2002 enodes 5.138 * * [simplify]: Extracting #0: cost 133 inf + 0 5.139 * * [simplify]: Extracting #1: cost 616 inf + 85 5.143 * * [simplify]: Extracting #2: cost 837 inf + 16519 5.156 * * [simplify]: Extracting #3: cost 525 inf + 74766 5.186 * * [simplify]: Extracting #4: cost 134 inf + 184076 5.259 * * [simplify]: Extracting #5: cost 22 inf + 215208 5.300 * * [simplify]: Extracting #6: cost 3 inf + 219315 5.368 * * [simplify]: Extracting #7: cost 0 inf + 220074 5.409 * [simplify]: Simplified to: (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (log (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (log (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (log (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (exp (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (* (* (- (/ 1 a) (/ 1 b)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) (* (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (- (/ 1 a) (/ 1 b))) (* (cbrt (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (cbrt (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)))) (cbrt (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (* (* (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (sqrt (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (sqrt (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (* (- b a) PI) (* (+ b a) (* b a)) (* PI (- (* (/ 1 a) (* (/ 1 a) (/ 1 a))) (* (/ 1 b) (* (/ 1 b) (/ 1 b))))) (* (+ (+ (* (/ 1 b) (/ 1 b)) (/ (/ 1 b) a)) (* (/ 1 a) (/ 1 a))) (+ b a)) (* PI (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ (/ 1 b) (/ 1 a)) (+ b a)) (* (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ b a)))) (* (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ PI (+ b a)))) (/ (* (sqrt PI) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (+ b a))) (/ (* (sqrt PI) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (+ b a))) (/ (/ PI (+ b a)) a) (* (/ -1 b) (/ PI (+ b a))) (/ (/ PI (+ b a)) a) (* (/ -1 b) (/ PI (+ b a))) (/ (/ PI (+ b a)) a) (* (/ -1 b) (/ PI (+ b a))) (/ (/ PI (+ b a)) a) (* (/ -1 b) (/ PI (+ b a))) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ PI (+ b a))) (* (/ PI (+ b a)) (sqrt (- (/ 1 a) (/ 1 b)))) (/ PI (+ b a)) (/ (* PI (+ (sqrt (/ 1 b)) (sqrt (/ 1 a)))) (+ b a)) (* (/ PI (+ b a)) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a)))) (* (/ PI (+ b a)) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a)))) (* (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (/ PI (+ b a))) (/ (* PI (+ (/ 1 (sqrt b)) (/ 1 (sqrt a)))) (+ b a)) (/ (* PI (+ (/ 1 (sqrt b)) (/ 1 (sqrt a)))) (+ b a)) (* (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (/ PI (+ b a))) (/ (* PI (+ (/ 1 (sqrt b)) (/ 1 (sqrt a)))) (+ b a)) (/ (* PI (+ (/ 1 (sqrt b)) (/ 1 (sqrt a)))) (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) (* (cbrt (/ PI (+ b a))) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (+ b a)))) (* (- (/ 1 a) (/ 1 b)) (/ (cbrt PI) (cbrt (+ b a)))) (/ (* (cbrt PI) (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) (/ (* (cbrt PI) (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* (cbrt PI) (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* (sqrt PI) (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) (/ (* (sqrt PI) (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) (/ (* (sqrt PI) (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* (sqrt PI) (- (/ 1 a) (/ 1 b))) (+ b a)) (* (/ PI (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) (/ (* PI (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (* (+ (* b (- b a)) (* a a)) (- (/ 1 a) (/ 1 b))) (* (- a b) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ b a)) (- b a)) (* (/ PI (+ b a)) (- (* (/ 1 a) (* (/ 1 a) (/ 1 a))) (* (/ 1 b) (* (/ 1 b) (/ 1 b))))) (* (/ PI (+ b a)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* PI (- (/ 1 a) (/ 1 b))) (real->posit16 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ a b)) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (/ (sqrt PI) (cbrt (+ b a))) (cbrt (+ b a))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) PI PI (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (* (* b b) b) (* (* a a) a))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ b a))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (log (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (exp (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (* (- (/ 1 a) (/ 1 b)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (* 8 (* (- b a) (- b a)))) (/ (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (- b a))) (/ (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (/ (* (- b a) 2) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (* (* (- b a) 2) (* (- b a) 2)) (- (/ 1 a) (/ 1 b))))) (* (/ (* (- (/ 1 a) (/ 1 b)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) 8) (/ (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (- b a) (* (- b a) (- b a))))) (* (/ (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (* (* (- b a) 2) (* (- b a) 2))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) (/ (* (* (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a))) (* 8 (* (- b a) (* (- b a) (- b a))))) (* (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (cbrt (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) (cbrt (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (* (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)))) (sqrt (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (sqrt (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (* (- (/ PI (+ b a))) (- (/ 1 a) (/ 1 b))) (* -2 (- b a)) (/ (/ PI (+ b a)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1/2 (- b a)) (* (/ 2 (/ PI (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) (/ (/ (* PI (- (/ 1 a) (/ 1 b))) (+ b a)) 2) (/ 2 (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (+ b a)) (- (* (* b b) b) (* (* a a) a)))) (* (/ (/ PI (+ b a)) 2) (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a)))) (* 2 (* (- b a) (* (+ b a) (* b a)))) (* (* 2 (* (- b a) (+ b a))) (+ (+ (* (/ 1 b) (/ 1 b)) (/ (/ 1 b) a)) (* (/ 1 a) (/ 1 a)))) (* 2 (* (- b a) (* (+ (/ 1 b) (/ 1 a)) (+ b a)))) (* (* b a) (* (- b a) 2)) (* 2 (* (- b a) (+ (+ (* (/ 1 b) (/ 1 b)) (/ (/ 1 b) a)) (* (/ 1 a) (/ 1 a))))) (* 2 (* (- b a) (+ (/ 1 b) (/ 1 a)))) (* 2 (* (- b a) (+ b a))) (real->posit16 (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) (exp (- (/ 1 a) (/ 1 b))) (log (- (/ 1 a) (/ 1 b))) (exp (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (- b a) (* b a) (- (* (/ 1 a) (* (/ 1 a) (/ 1 a))) (* (/ 1 b) (* (/ 1 b) (/ 1 b)))) (+ (+ (* (/ 1 b) (/ 1 b)) (/ (/ 1 b) a)) (* (/ 1 a) (/ 1 a))) (/ -1 b) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (/ 1 b) (/ 1 a)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt b)) (/ 1 (sqrt a))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (/ -1 b) (real->posit16 (- (/ 1 a) (/ 1 b))) (/ PI (* b a)) (/ (- PI) (* b a)) (/ (- PI) (* b a)) 0 0 0 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 5.430 * * * [progress]: adding candidates to table 6.240 * * [progress]: iteration 3 / 4 6.240 * * * [progress]: picking best candidate 6.283 * * * * [pick]: Picked # 6.283 * * * [progress]: localizing error 6.333 * * * [progress]: generating rewritten candidates 6.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.349 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.420 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.588 * * * [progress]: generating series expansions 6.588 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.588 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 6.588 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 6.588 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 6.588 * [taylor]: Taking taylor expansion of PI in b 6.588 * [backup-simplify]: Simplify PI into PI 6.588 * [taylor]: Taking taylor expansion of (+ a b) in b 6.588 * [taylor]: Taking taylor expansion of a in b 6.588 * [backup-simplify]: Simplify a into a 6.588 * [taylor]: Taking taylor expansion of b in b 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.588 * [backup-simplify]: Simplify (+ a 0) into a 6.588 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.588 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 6.588 * [taylor]: Taking taylor expansion of PI in a 6.588 * [backup-simplify]: Simplify PI into PI 6.588 * [taylor]: Taking taylor expansion of (+ a b) in a 6.588 * [taylor]: Taking taylor expansion of a in a 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.589 * [taylor]: Taking taylor expansion of b in a 6.589 * [backup-simplify]: Simplify b into b 6.589 * [backup-simplify]: Simplify (+ 0 b) into b 6.589 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.589 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 6.589 * [taylor]: Taking taylor expansion of PI in a 6.589 * [backup-simplify]: Simplify PI into PI 6.589 * [taylor]: Taking taylor expansion of (+ a b) in a 6.589 * [taylor]: Taking taylor expansion of a in a 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [taylor]: Taking taylor expansion of b in a 6.589 * [backup-simplify]: Simplify b into b 6.589 * [backup-simplify]: Simplify (+ 0 b) into b 6.589 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.589 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.589 * [taylor]: Taking taylor expansion of PI in b 6.589 * [backup-simplify]: Simplify PI into PI 6.589 * [taylor]: Taking taylor expansion of b in b 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.590 * [backup-simplify]: Simplify (/ PI 1) into PI 6.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (+ 1 0) into 1 6.592 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 6.592 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 6.592 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.592 * [taylor]: Taking taylor expansion of PI in b 6.592 * [backup-simplify]: Simplify PI into PI 6.592 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.592 * [taylor]: Taking taylor expansion of b in b 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.592 * [backup-simplify]: Simplify (* 1 1) into 1 6.593 * [backup-simplify]: Simplify (/ PI 1) into PI 6.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ 0 0) into 0 6.599 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 6.599 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.599 * [taylor]: Taking taylor expansion of PI in b 6.599 * [backup-simplify]: Simplify PI into PI 6.599 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.599 * [taylor]: Taking taylor expansion of b in b 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (* 1 1) into 1 6.600 * [backup-simplify]: Simplify (* 1 1) into 1 6.600 * [backup-simplify]: Simplify (/ PI 1) into PI 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (- 0) into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 6.620 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 6.620 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 6.620 * [taylor]: Taking taylor expansion of PI in b 6.620 * [backup-simplify]: Simplify PI into PI 6.620 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.620 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.620 * [taylor]: Taking taylor expansion of a in b 6.620 * [backup-simplify]: Simplify a into a 6.620 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.620 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.620 * [taylor]: Taking taylor expansion of b in b 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (/ 1 1) into 1 6.621 * [backup-simplify]: Simplify (+ 0 1) into 1 6.621 * [backup-simplify]: Simplify (/ PI 1) into PI 6.621 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.621 * [taylor]: Taking taylor expansion of PI in a 6.621 * [backup-simplify]: Simplify PI into PI 6.621 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.621 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.622 * [taylor]: Taking taylor expansion of a in a 6.622 * [backup-simplify]: Simplify 0 into 0 6.622 * [backup-simplify]: Simplify 1 into 1 6.622 * [backup-simplify]: Simplify (/ 1 1) into 1 6.622 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.622 * [taylor]: Taking taylor expansion of b in a 6.622 * [backup-simplify]: Simplify b into b 6.622 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.622 * [backup-simplify]: Simplify (+ 1 0) into 1 6.623 * [backup-simplify]: Simplify (/ PI 1) into PI 6.623 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.623 * [taylor]: Taking taylor expansion of PI in a 6.623 * [backup-simplify]: Simplify PI into PI 6.623 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.623 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.623 * [taylor]: Taking taylor expansion of a in a 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.624 * [backup-simplify]: Simplify (/ 1 1) into 1 6.624 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.624 * [taylor]: Taking taylor expansion of b in a 6.624 * [backup-simplify]: Simplify b into b 6.624 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.624 * [backup-simplify]: Simplify (+ 1 0) into 1 6.625 * [backup-simplify]: Simplify (/ PI 1) into PI 6.625 * [taylor]: Taking taylor expansion of PI in b 6.625 * [backup-simplify]: Simplify PI into PI 6.625 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.626 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 6.626 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 6.626 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.626 * [taylor]: Taking taylor expansion of PI in b 6.626 * [backup-simplify]: Simplify PI into PI 6.626 * [taylor]: Taking taylor expansion of b in b 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify 1 into 1 6.627 * [backup-simplify]: Simplify (/ PI 1) into PI 6.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.628 * [backup-simplify]: Simplify (- 0) into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.629 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 6.630 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.630 * [taylor]: Taking taylor expansion of PI in b 6.630 * [backup-simplify]: Simplify PI into PI 6.630 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.630 * [taylor]: Taking taylor expansion of b in b 6.630 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.631 * [backup-simplify]: Simplify (/ PI 1) into PI 6.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (- 0) into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 6.635 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 6.635 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 6.635 * [taylor]: Taking taylor expansion of -1 in b 6.635 * [backup-simplify]: Simplify -1 into -1 6.635 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 6.635 * [taylor]: Taking taylor expansion of PI in b 6.635 * [backup-simplify]: Simplify PI into PI 6.635 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.635 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.635 * [taylor]: Taking taylor expansion of a in b 6.635 * [backup-simplify]: Simplify a into a 6.635 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.635 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.635 * [taylor]: Taking taylor expansion of b in b 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.636 * [backup-simplify]: Simplify (+ 0 1) into 1 6.636 * [backup-simplify]: Simplify (/ PI 1) into PI 6.636 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 6.636 * [taylor]: Taking taylor expansion of -1 in a 6.636 * [backup-simplify]: Simplify -1 into -1 6.636 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.636 * [taylor]: Taking taylor expansion of PI in a 6.636 * [backup-simplify]: Simplify PI into PI 6.636 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.636 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.636 * [taylor]: Taking taylor expansion of a in a 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (/ 1 1) into 1 6.637 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.637 * [taylor]: Taking taylor expansion of b in a 6.637 * [backup-simplify]: Simplify b into b 6.637 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.637 * [backup-simplify]: Simplify (+ 1 0) into 1 6.637 * [backup-simplify]: Simplify (/ PI 1) into PI 6.637 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 6.637 * [taylor]: Taking taylor expansion of -1 in a 6.637 * [backup-simplify]: Simplify -1 into -1 6.637 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.637 * [taylor]: Taking taylor expansion of PI in a 6.637 * [backup-simplify]: Simplify PI into PI 6.638 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.638 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.638 * [taylor]: Taking taylor expansion of a in a 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 1 into 1 6.638 * [backup-simplify]: Simplify (/ 1 1) into 1 6.638 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.638 * [taylor]: Taking taylor expansion of b in a 6.638 * [backup-simplify]: Simplify b into b 6.638 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.638 * [backup-simplify]: Simplify (+ 1 0) into 1 6.638 * [backup-simplify]: Simplify (/ PI 1) into PI 6.639 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.639 * [taylor]: Taking taylor expansion of (* -1 PI) in b 6.639 * [taylor]: Taking taylor expansion of -1 in b 6.639 * [backup-simplify]: Simplify -1 into -1 6.639 * [taylor]: Taking taylor expansion of PI in b 6.639 * [backup-simplify]: Simplify PI into PI 6.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 6.641 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 6.641 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.641 * [taylor]: Taking taylor expansion of PI in b 6.641 * [backup-simplify]: Simplify PI into PI 6.641 * [taylor]: Taking taylor expansion of b in b 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (/ PI 1) into PI 6.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 6.645 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 6.645 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 6.645 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.645 * [taylor]: Taking taylor expansion of PI in b 6.645 * [backup-simplify]: Simplify PI into PI 6.645 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.645 * [taylor]: Taking taylor expansion of b in b 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 1 into 1 6.646 * [backup-simplify]: Simplify (* 1 1) into 1 6.646 * [backup-simplify]: Simplify (/ PI 1) into PI 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (- 0) into 0 6.651 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.653 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.654 * [backup-simplify]: Simplify (/ (- (/ 1 a) (/ 1 b)) (- b a)) into (/ (- (/ 1 a) (/ 1 b)) (- b a)) 6.654 * [approximate]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in (a b) around 0 6.654 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b 6.654 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.654 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.654 * [taylor]: Taking taylor expansion of a in b 6.655 * [backup-simplify]: Simplify a into a 6.655 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.655 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.655 * [taylor]: Taking taylor expansion of b in b 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [backup-simplify]: Simplify (/ 1 1) into 1 6.655 * [taylor]: Taking taylor expansion of (- b a) in b 6.655 * [taylor]: Taking taylor expansion of b in b 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of a in b 6.656 * [backup-simplify]: Simplify a into a 6.656 * [backup-simplify]: Simplify (- 1) into -1 6.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.656 * [backup-simplify]: Simplify (- a) into (- a) 6.656 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.657 * [backup-simplify]: Simplify (/ -1 (- a)) into (/ 1 a) 6.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a 6.657 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.657 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.657 * [taylor]: Taking taylor expansion of a in a 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.657 * [taylor]: Taking taylor expansion of b in a 6.657 * [backup-simplify]: Simplify b into b 6.657 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.657 * [taylor]: Taking taylor expansion of (- b a) in a 6.657 * [taylor]: Taking taylor expansion of b in a 6.657 * [backup-simplify]: Simplify b into b 6.657 * [taylor]: Taking taylor expansion of a in a 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.658 * [backup-simplify]: Simplify (- 0) into 0 6.658 * [backup-simplify]: Simplify (+ b 0) into b 6.658 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.658 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a 6.658 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.658 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.658 * [taylor]: Taking taylor expansion of a in a 6.658 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify 1 into 1 6.659 * [backup-simplify]: Simplify (/ 1 1) into 1 6.659 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.659 * [taylor]: Taking taylor expansion of b in a 6.659 * [backup-simplify]: Simplify b into b 6.659 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.659 * [taylor]: Taking taylor expansion of (- b a) in a 6.659 * [taylor]: Taking taylor expansion of b in a 6.659 * [backup-simplify]: Simplify b into b 6.659 * [taylor]: Taking taylor expansion of a in a 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (+ 1 0) into 1 6.660 * [backup-simplify]: Simplify (- 0) into 0 6.660 * [backup-simplify]: Simplify (+ b 0) into b 6.660 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.660 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.660 * [taylor]: Taking taylor expansion of b in b 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.661 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.662 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.662 * [backup-simplify]: Simplify (- 1) into -1 6.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.663 * [backup-simplify]: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 6.663 * [taylor]: Taking taylor expansion of 0 in b 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (- 0) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 6.666 * [taylor]: Taking taylor expansion of 0 in b 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.669 * [backup-simplify]: Simplify (- 0) into 0 6.669 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [backup-simplify]: Simplify (- 0) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.670 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 6.670 * [taylor]: Taking taylor expansion of 0 in b 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* a b)) 6.672 * [backup-simplify]: Simplify (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- a b) (- (/ 1 b) (/ 1 a))) 6.672 * [approximate]: Taking taylor expansion of (/ (- a b) (- (/ 1 b) (/ 1 a))) in (a b) around 0 6.672 * [taylor]: Taking taylor expansion of (/ (- a b) (- (/ 1 b) (/ 1 a))) in b 6.672 * [taylor]: Taking taylor expansion of (- a b) in b 6.672 * [taylor]: Taking taylor expansion of a in b 6.672 * [backup-simplify]: Simplify a into a 6.672 * [taylor]: Taking taylor expansion of b in b 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.672 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.672 * [taylor]: Taking taylor expansion of b in b 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (/ 1 1) into 1 6.673 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.673 * [taylor]: Taking taylor expansion of a in b 6.673 * [backup-simplify]: Simplify a into a 6.673 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.673 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ a 0) into a 6.674 * [backup-simplify]: Simplify (+ 1 0) into 1 6.674 * [backup-simplify]: Simplify (/ a 1) into a 6.674 * [taylor]: Taking taylor expansion of (/ (- a b) (- (/ 1 b) (/ 1 a))) in a 6.674 * [taylor]: Taking taylor expansion of (- a b) in a 6.674 * [taylor]: Taking taylor expansion of a in a 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of b in a 6.674 * [backup-simplify]: Simplify b into b 6.674 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.674 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.674 * [taylor]: Taking taylor expansion of b in a 6.674 * [backup-simplify]: Simplify b into b 6.674 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.674 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.674 * [taylor]: Taking taylor expansion of a in a 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (/ 1 1) into 1 6.675 * [backup-simplify]: Simplify (- b) into (- b) 6.675 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 6.675 * [backup-simplify]: Simplify (- 1) into -1 6.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.676 * [backup-simplify]: Simplify (/ (- b) -1) into b 6.676 * [taylor]: Taking taylor expansion of (/ (- a b) (- (/ 1 b) (/ 1 a))) in a 6.676 * [taylor]: Taking taylor expansion of (- a b) in a 6.676 * [taylor]: Taking taylor expansion of a in a 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 1 into 1 6.676 * [taylor]: Taking taylor expansion of b in a 6.676 * [backup-simplify]: Simplify b into b 6.676 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.676 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.676 * [taylor]: Taking taylor expansion of b in a 6.676 * [backup-simplify]: Simplify b into b 6.676 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.676 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.676 * [taylor]: Taking taylor expansion of a in a 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (/ 1 1) into 1 6.677 * [backup-simplify]: Simplify (- b) into (- b) 6.677 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 6.677 * [backup-simplify]: Simplify (- 1) into -1 6.678 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.678 * [backup-simplify]: Simplify (/ (- b) -1) into b 6.678 * [taylor]: Taking taylor expansion of b in b 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.679 * [backup-simplify]: Simplify (+ 1 0) into 1 6.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (- 0) into 0 6.680 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 6.680 * [backup-simplify]: Simplify (- (/ 1 -1) (+ (* b (/ (/ 1 b) -1)))) into 0 6.680 * [taylor]: Taking taylor expansion of 0 in b 6.680 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify (- 0) into 0 6.681 * [backup-simplify]: Simplify (+ 0 0) into 0 6.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.684 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* b (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 6.684 * [taylor]: Taking taylor expansion of 0 in b 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify (- 0) into 0 6.685 * [backup-simplify]: Simplify (+ 0 0) into 0 6.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.686 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* b (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 6.688 * [taylor]: Taking taylor expansion of 0 in b 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* a b)) 6.689 * [backup-simplify]: Simplify (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- b a) (- (/ 1 a) (/ 1 b))) 6.689 * [approximate]: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in (a b) around 0 6.689 * [taylor]: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in b 6.689 * [taylor]: Taking taylor expansion of (- b a) in b 6.689 * [taylor]: Taking taylor expansion of b in b 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [taylor]: Taking taylor expansion of a in b 6.689 * [backup-simplify]: Simplify a into a 6.689 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.689 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.689 * [taylor]: Taking taylor expansion of a in b 6.689 * [backup-simplify]: Simplify a into a 6.689 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.689 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.689 * [taylor]: Taking taylor expansion of b in b 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (/ 1 1) into 1 6.690 * [backup-simplify]: Simplify (- a) into (- a) 6.690 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.690 * [backup-simplify]: Simplify (- 1) into -1 6.691 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.691 * [backup-simplify]: Simplify (/ (- a) -1) into a 6.691 * [taylor]: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a 6.691 * [taylor]: Taking taylor expansion of (- b a) in a 6.691 * [taylor]: Taking taylor expansion of b in a 6.691 * [backup-simplify]: Simplify b into b 6.691 * [taylor]: Taking taylor expansion of a in a 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 1 into 1 6.691 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.691 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.691 * [taylor]: Taking taylor expansion of a in a 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 1 into 1 6.692 * [backup-simplify]: Simplify (/ 1 1) into 1 6.692 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.692 * [taylor]: Taking taylor expansion of b in a 6.692 * [backup-simplify]: Simplify b into b 6.692 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.692 * [backup-simplify]: Simplify (- 0) into 0 6.692 * [backup-simplify]: Simplify (+ b 0) into b 6.693 * [backup-simplify]: Simplify (+ 1 0) into 1 6.693 * [backup-simplify]: Simplify (/ b 1) into b 6.693 * [taylor]: Taking taylor expansion of (/ (- b a) (- (/ 1 a) (/ 1 b))) in a 6.693 * [taylor]: Taking taylor expansion of (- b a) in a 6.693 * [taylor]: Taking taylor expansion of b in a 6.693 * [backup-simplify]: Simplify b into b 6.693 * [taylor]: Taking taylor expansion of a in a 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.693 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.693 * [taylor]: Taking taylor expansion of a in a 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.693 * [backup-simplify]: Simplify (/ 1 1) into 1 6.693 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.693 * [taylor]: Taking taylor expansion of b in a 6.693 * [backup-simplify]: Simplify b into b 6.694 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.694 * [backup-simplify]: Simplify (- 0) into 0 6.694 * [backup-simplify]: Simplify (+ b 0) into b 6.694 * [backup-simplify]: Simplify (+ 1 0) into 1 6.694 * [backup-simplify]: Simplify (/ b 1) into b 6.694 * [taylor]: Taking taylor expansion of b in b 6.695 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify 1 into 1 6.695 * [backup-simplify]: Simplify 1 into 1 6.695 * [backup-simplify]: Simplify (- 1) into -1 6.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.696 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.697 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 0 6.697 * [taylor]: Taking taylor expansion of 0 in b 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.698 * [backup-simplify]: Simplify (+ 0 0) into 0 6.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 6.700 * [taylor]: Taking taylor expansion of 0 in b 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (- 0) into 0 6.701 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.702 * [backup-simplify]: Simplify (- 0) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 6.703 * [taylor]: Taking taylor expansion of 0 in b 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify (* 1 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1 (* a b)) 6.703 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.703 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a))) into (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 6.703 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 6.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 6.703 * [taylor]: Taking taylor expansion of 1/2 in b 6.703 * [backup-simplify]: Simplify 1/2 into 1/2 6.703 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 6.703 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 6.703 * [taylor]: Taking taylor expansion of PI in b 6.703 * [backup-simplify]: Simplify PI into PI 6.703 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.703 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.703 * [taylor]: Taking taylor expansion of a in b 6.703 * [backup-simplify]: Simplify a into a 6.703 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.703 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.703 * [taylor]: Taking taylor expansion of b in b 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.704 * [backup-simplify]: Simplify (/ 1 1) into 1 6.704 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 6.704 * [taylor]: Taking taylor expansion of (+ a b) in b 6.704 * [taylor]: Taking taylor expansion of a in b 6.704 * [backup-simplify]: Simplify a into a 6.704 * [taylor]: Taking taylor expansion of b in b 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [taylor]: Taking taylor expansion of (- b a) in b 6.704 * [taylor]: Taking taylor expansion of b in b 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [taylor]: Taking taylor expansion of a in b 6.704 * [backup-simplify]: Simplify a into a 6.704 * [backup-simplify]: Simplify (- 1) into -1 6.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.705 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 6.705 * [backup-simplify]: Simplify (+ a 0) into a 6.705 * [backup-simplify]: Simplify (- a) into (- a) 6.705 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.705 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 6.705 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 6.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 6.705 * [taylor]: Taking taylor expansion of 1/2 in a 6.705 * [backup-simplify]: Simplify 1/2 into 1/2 6.705 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 6.705 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 6.705 * [taylor]: Taking taylor expansion of PI in a 6.705 * [backup-simplify]: Simplify PI into PI 6.705 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.705 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.705 * [taylor]: Taking taylor expansion of a in a 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.706 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.706 * [taylor]: Taking taylor expansion of b in a 6.706 * [backup-simplify]: Simplify b into b 6.706 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.706 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.706 * [taylor]: Taking taylor expansion of (+ a b) in a 6.706 * [taylor]: Taking taylor expansion of a in a 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [taylor]: Taking taylor expansion of b in a 6.706 * [backup-simplify]: Simplify b into b 6.706 * [taylor]: Taking taylor expansion of (- b a) in a 6.706 * [taylor]: Taking taylor expansion of b in a 6.706 * [backup-simplify]: Simplify b into b 6.706 * [taylor]: Taking taylor expansion of a in a 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (+ 1 0) into 1 6.707 * [backup-simplify]: Simplify (* PI 1) into PI 6.707 * [backup-simplify]: Simplify (+ 0 b) into b 6.707 * [backup-simplify]: Simplify (- 0) into 0 6.707 * [backup-simplify]: Simplify (+ b 0) into b 6.707 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.707 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 6.707 * [taylor]: Taking taylor expansion of 1/2 in a 6.707 * [backup-simplify]: Simplify 1/2 into 1/2 6.707 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 6.707 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 6.707 * [taylor]: Taking taylor expansion of PI in a 6.707 * [backup-simplify]: Simplify PI into PI 6.707 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.707 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.707 * [taylor]: Taking taylor expansion of a in a 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [backup-simplify]: Simplify (/ 1 1) into 1 6.707 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.707 * [taylor]: Taking taylor expansion of b in a 6.707 * [backup-simplify]: Simplify b into b 6.707 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.707 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.708 * [taylor]: Taking taylor expansion of (+ a b) in a 6.708 * [taylor]: Taking taylor expansion of a in a 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [taylor]: Taking taylor expansion of b in a 6.708 * [backup-simplify]: Simplify b into b 6.708 * [taylor]: Taking taylor expansion of (- b a) in a 6.708 * [taylor]: Taking taylor expansion of b in a 6.708 * [backup-simplify]: Simplify b into b 6.708 * [taylor]: Taking taylor expansion of a in a 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify (+ 1 0) into 1 6.708 * [backup-simplify]: Simplify (* PI 1) into PI 6.708 * [backup-simplify]: Simplify (+ 0 b) into b 6.709 * [backup-simplify]: Simplify (- 0) into 0 6.709 * [backup-simplify]: Simplify (+ b 0) into b 6.709 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.709 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.709 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 6.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 6.709 * [taylor]: Taking taylor expansion of 1/2 in b 6.709 * [backup-simplify]: Simplify 1/2 into 1/2 6.709 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.709 * [taylor]: Taking taylor expansion of PI in b 6.709 * [backup-simplify]: Simplify PI into PI 6.709 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.709 * [taylor]: Taking taylor expansion of b in b 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [backup-simplify]: Simplify (* 1 1) into 1 6.709 * [backup-simplify]: Simplify (/ PI 1) into PI 6.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.711 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.712 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 6.712 * [backup-simplify]: Simplify (- 1) into -1 6.712 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.713 * [backup-simplify]: Simplify (+ 1 0) into 1 6.713 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 6.713 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 6.713 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 6.713 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 6.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 6.713 * [taylor]: Taking taylor expansion of 1/2 in b 6.713 * [backup-simplify]: Simplify 1/2 into 1/2 6.713 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.713 * [taylor]: Taking taylor expansion of PI in b 6.713 * [backup-simplify]: Simplify PI into PI 6.713 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.713 * [taylor]: Taking taylor expansion of b in b 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.714 * [backup-simplify]: Simplify (* 1 1) into 1 6.714 * [backup-simplify]: Simplify (/ PI 1) into PI 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.718 * [backup-simplify]: Simplify (- 0) into 0 6.718 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.721 * [backup-simplify]: Simplify (- 0) into 0 6.721 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 6.722 * [backup-simplify]: Simplify (- 0) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 6.723 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 6.723 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 6.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 6.723 * [taylor]: Taking taylor expansion of 1/2 in b 6.723 * [backup-simplify]: Simplify 1/2 into 1/2 6.723 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.723 * [taylor]: Taking taylor expansion of PI in b 6.723 * [backup-simplify]: Simplify PI into PI 6.724 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.724 * [taylor]: Taking taylor expansion of b in b 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify (* 1 1) into 1 6.724 * [backup-simplify]: Simplify (* 1 1) into 1 6.724 * [backup-simplify]: Simplify (/ PI 1) into PI 6.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 6.741 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 6.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 6.741 * [taylor]: Taking taylor expansion of 1/2 in b 6.741 * [backup-simplify]: Simplify 1/2 into 1/2 6.741 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 6.741 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 6.741 * [taylor]: Taking taylor expansion of (- a b) in b 6.741 * [taylor]: Taking taylor expansion of a in b 6.741 * [backup-simplify]: Simplify a into a 6.741 * [taylor]: Taking taylor expansion of b in b 6.741 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [taylor]: Taking taylor expansion of PI in b 6.742 * [backup-simplify]: Simplify PI into PI 6.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 6.742 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.742 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.742 * [taylor]: Taking taylor expansion of a in b 6.742 * [backup-simplify]: Simplify a into a 6.742 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.742 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.742 * [taylor]: Taking taylor expansion of b in b 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (/ 1 1) into 1 6.742 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.742 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.742 * [taylor]: Taking taylor expansion of b in b 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (/ 1 1) into 1 6.743 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.743 * [taylor]: Taking taylor expansion of a in b 6.743 * [backup-simplify]: Simplify a into a 6.743 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.743 * [backup-simplify]: Simplify (- 0) into 0 6.743 * [backup-simplify]: Simplify (+ a 0) into a 6.744 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.744 * [backup-simplify]: Simplify (+ 0 1) into 1 6.744 * [backup-simplify]: Simplify (+ 1 0) into 1 6.745 * [backup-simplify]: Simplify (* 1 1) into 1 6.745 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 6.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.745 * [taylor]: Taking taylor expansion of 1/2 in a 6.745 * [backup-simplify]: Simplify 1/2 into 1/2 6.745 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.745 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 6.745 * [taylor]: Taking taylor expansion of (- a b) in a 6.745 * [taylor]: Taking taylor expansion of a in a 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [taylor]: Taking taylor expansion of b in a 6.745 * [backup-simplify]: Simplify b into b 6.745 * [taylor]: Taking taylor expansion of PI in a 6.745 * [backup-simplify]: Simplify PI into PI 6.745 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.745 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.745 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.745 * [taylor]: Taking taylor expansion of a in a 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1 1) into 1 6.746 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.746 * [taylor]: Taking taylor expansion of b in a 6.746 * [backup-simplify]: Simplify b into b 6.746 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.746 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.746 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.746 * [taylor]: Taking taylor expansion of b in a 6.746 * [backup-simplify]: Simplify b into b 6.746 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.746 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.746 * [taylor]: Taking taylor expansion of a in a 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1 1) into 1 6.746 * [backup-simplify]: Simplify (- b) into (- b) 6.747 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 6.747 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 6.747 * [backup-simplify]: Simplify (+ 1 0) into 1 6.747 * [backup-simplify]: Simplify (- 1) into -1 6.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.748 * [backup-simplify]: Simplify (* 1 -1) into -1 6.748 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 6.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.748 * [taylor]: Taking taylor expansion of 1/2 in a 6.748 * [backup-simplify]: Simplify 1/2 into 1/2 6.748 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.749 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 6.749 * [taylor]: Taking taylor expansion of (- a b) in a 6.749 * [taylor]: Taking taylor expansion of a in a 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 1 into 1 6.749 * [taylor]: Taking taylor expansion of b in a 6.749 * [backup-simplify]: Simplify b into b 6.749 * [taylor]: Taking taylor expansion of PI in a 6.749 * [backup-simplify]: Simplify PI into PI 6.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.749 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.749 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.749 * [taylor]: Taking taylor expansion of a in a 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 1 into 1 6.749 * [backup-simplify]: Simplify (/ 1 1) into 1 6.749 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.749 * [taylor]: Taking taylor expansion of b in a 6.749 * [backup-simplify]: Simplify b into b 6.749 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.749 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.749 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.749 * [taylor]: Taking taylor expansion of b in a 6.749 * [backup-simplify]: Simplify b into b 6.750 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.750 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.750 * [taylor]: Taking taylor expansion of a in a 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [backup-simplify]: Simplify (/ 1 1) into 1 6.750 * [backup-simplify]: Simplify (- b) into (- b) 6.750 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 6.750 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 6.751 * [backup-simplify]: Simplify (+ 1 0) into 1 6.751 * [backup-simplify]: Simplify (- 1) into -1 6.751 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.752 * [backup-simplify]: Simplify (* 1 -1) into -1 6.752 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 6.752 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 6.752 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 6.752 * [taylor]: Taking taylor expansion of 1/2 in b 6.752 * [backup-simplify]: Simplify 1/2 into 1/2 6.752 * [taylor]: Taking taylor expansion of (* b PI) in b 6.752 * [taylor]: Taking taylor expansion of b in b 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [taylor]: Taking taylor expansion of PI in b 6.752 * [backup-simplify]: Simplify PI into PI 6.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.755 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.756 * [backup-simplify]: Simplify (* 0 PI) into 0 6.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (- 0) into 0 6.758 * [backup-simplify]: Simplify (+ 1 0) into 1 6.758 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.759 * [backup-simplify]: Simplify (- 0) into 0 6.759 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.760 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 6.761 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 6.763 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 6.763 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 6.763 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 6.763 * [taylor]: Taking taylor expansion of 1/2 in b 6.763 * [backup-simplify]: Simplify 1/2 into 1/2 6.763 * [taylor]: Taking taylor expansion of PI in b 6.763 * [backup-simplify]: Simplify PI into PI 6.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.764 * [backup-simplify]: Simplify (- 0) into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify (- 0) into 0 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.770 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 6.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (- 0) into 0 6.772 * [backup-simplify]: Simplify (+ 0 0) into 0 6.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.774 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 6.776 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 6.777 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 6.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.777 * [taylor]: Taking taylor expansion of 1/2 in b 6.777 * [backup-simplify]: Simplify 1/2 into 1/2 6.777 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.777 * [taylor]: Taking taylor expansion of PI in b 6.777 * [backup-simplify]: Simplify PI into PI 6.777 * [taylor]: Taking taylor expansion of b in b 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (/ PI 1) into PI 6.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.784 * [backup-simplify]: Simplify (- 0) into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 6.788 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 6.788 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 6.788 * [taylor]: Taking taylor expansion of -1/2 in b 6.788 * [backup-simplify]: Simplify -1/2 into -1/2 6.788 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 6.788 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 6.788 * [taylor]: Taking taylor expansion of (- b a) in b 6.788 * [taylor]: Taking taylor expansion of b in b 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [taylor]: Taking taylor expansion of a in b 6.788 * [backup-simplify]: Simplify a into a 6.788 * [taylor]: Taking taylor expansion of PI in b 6.788 * [backup-simplify]: Simplify PI into PI 6.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 6.788 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.788 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.788 * [taylor]: Taking taylor expansion of a in b 6.788 * [backup-simplify]: Simplify a into a 6.788 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.788 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.788 * [taylor]: Taking taylor expansion of b in b 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.789 * [backup-simplify]: Simplify (/ 1 1) into 1 6.789 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.789 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.789 * [taylor]: Taking taylor expansion of a in b 6.789 * [backup-simplify]: Simplify a into a 6.789 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.789 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.789 * [taylor]: Taking taylor expansion of b in b 6.789 * [backup-simplify]: Simplify 0 into 0 6.789 * [backup-simplify]: Simplify 1 into 1 6.789 * [backup-simplify]: Simplify (/ 1 1) into 1 6.789 * [backup-simplify]: Simplify (- a) into (- a) 6.790 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.790 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 6.790 * [backup-simplify]: Simplify (+ 0 1) into 1 6.790 * [backup-simplify]: Simplify (- 1) into -1 6.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.791 * [backup-simplify]: Simplify (* 1 -1) into -1 6.791 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 6.791 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.791 * [taylor]: Taking taylor expansion of -1/2 in a 6.791 * [backup-simplify]: Simplify -1/2 into -1/2 6.792 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.792 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 6.792 * [taylor]: Taking taylor expansion of (- b a) in a 6.792 * [taylor]: Taking taylor expansion of b in a 6.792 * [backup-simplify]: Simplify b into b 6.792 * [taylor]: Taking taylor expansion of a in a 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 1 into 1 6.792 * [taylor]: Taking taylor expansion of PI in a 6.792 * [backup-simplify]: Simplify PI into PI 6.792 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.792 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.792 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.792 * [taylor]: Taking taylor expansion of a in a 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (/ 1 1) into 1 6.792 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.792 * [taylor]: Taking taylor expansion of b in a 6.792 * [backup-simplify]: Simplify b into b 6.792 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.792 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.793 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.793 * [taylor]: Taking taylor expansion of a in a 6.793 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify 1 into 1 6.793 * [backup-simplify]: Simplify (/ 1 1) into 1 6.793 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.793 * [taylor]: Taking taylor expansion of b in a 6.793 * [backup-simplify]: Simplify b into b 6.793 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.794 * [backup-simplify]: Simplify (- 0) into 0 6.794 * [backup-simplify]: Simplify (+ b 0) into b 6.794 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.794 * [backup-simplify]: Simplify (+ 1 0) into 1 6.795 * [backup-simplify]: Simplify (+ 1 0) into 1 6.795 * [backup-simplify]: Simplify (* 1 1) into 1 6.795 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.795 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.795 * [taylor]: Taking taylor expansion of -1/2 in a 6.795 * [backup-simplify]: Simplify -1/2 into -1/2 6.795 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.795 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 6.795 * [taylor]: Taking taylor expansion of (- b a) in a 6.795 * [taylor]: Taking taylor expansion of b in a 6.795 * [backup-simplify]: Simplify b into b 6.795 * [taylor]: Taking taylor expansion of a in a 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [taylor]: Taking taylor expansion of PI in a 6.795 * [backup-simplify]: Simplify PI into PI 6.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.795 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.795 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.795 * [taylor]: Taking taylor expansion of a in a 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ 1 1) into 1 6.796 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.796 * [taylor]: Taking taylor expansion of b in a 6.796 * [backup-simplify]: Simplify b into b 6.796 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.796 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.796 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.796 * [taylor]: Taking taylor expansion of a in a 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ 1 1) into 1 6.797 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.797 * [taylor]: Taking taylor expansion of b in a 6.797 * [backup-simplify]: Simplify b into b 6.797 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.797 * [backup-simplify]: Simplify (- 0) into 0 6.797 * [backup-simplify]: Simplify (+ b 0) into b 6.797 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.798 * [backup-simplify]: Simplify (+ 1 0) into 1 6.798 * [backup-simplify]: Simplify (+ 1 0) into 1 6.798 * [backup-simplify]: Simplify (* 1 1) into 1 6.799 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.799 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 6.799 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 6.799 * [taylor]: Taking taylor expansion of -1/2 in b 6.799 * [backup-simplify]: Simplify -1/2 into -1/2 6.799 * [taylor]: Taking taylor expansion of (* PI b) in b 6.799 * [taylor]: Taking taylor expansion of PI in b 6.799 * [backup-simplify]: Simplify PI into PI 6.799 * [taylor]: Taking taylor expansion of b in b 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.802 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.802 * [backup-simplify]: Simplify (* PI 0) into 0 6.804 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify (- 1) into -1 6.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.805 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.806 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.807 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.807 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 6.809 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 6.810 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 6.810 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 6.810 * [taylor]: Taking taylor expansion of 1/2 in b 6.810 * [backup-simplify]: Simplify 1/2 into 1/2 6.810 * [taylor]: Taking taylor expansion of PI in b 6.810 * [backup-simplify]: Simplify PI into PI 6.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.814 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify (- 0) into 0 6.814 * [backup-simplify]: Simplify (+ 0 0) into 0 6.815 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.817 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.819 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 6.822 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 6.822 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 6.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.822 * [taylor]: Taking taylor expansion of 1/2 in b 6.822 * [backup-simplify]: Simplify 1/2 into 1/2 6.822 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.822 * [taylor]: Taking taylor expansion of PI in b 6.822 * [backup-simplify]: Simplify PI into PI 6.822 * [taylor]: Taking taylor expansion of b in b 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 1 into 1 6.823 * [backup-simplify]: Simplify (/ PI 1) into PI 6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.828 * [backup-simplify]: Simplify (- 0) into 0 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.832 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.832 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 6.832 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 6.832 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.832 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.832 * [taylor]: Taking taylor expansion of a in b 6.832 * [backup-simplify]: Simplify a into a 6.832 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.832 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.832 * [taylor]: Taking taylor expansion of b in b 6.832 * [backup-simplify]: Simplify 0 into 0 6.832 * [backup-simplify]: Simplify 1 into 1 6.833 * [backup-simplify]: Simplify (/ 1 1) into 1 6.833 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.833 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.833 * [taylor]: Taking taylor expansion of a in a 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify 1 into 1 6.833 * [backup-simplify]: Simplify (/ 1 1) into 1 6.833 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.833 * [taylor]: Taking taylor expansion of b in a 6.833 * [backup-simplify]: Simplify b into b 6.833 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.833 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.833 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.834 * [taylor]: Taking taylor expansion of a in a 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [backup-simplify]: Simplify (/ 1 1) into 1 6.834 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.834 * [taylor]: Taking taylor expansion of b in a 6.834 * [backup-simplify]: Simplify b into b 6.834 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.835 * [backup-simplify]: Simplify (+ 1 0) into 1 6.835 * [taylor]: Taking taylor expansion of 1 in b 6.835 * [backup-simplify]: Simplify 1 into 1 6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.836 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.836 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.836 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 6.836 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.836 * [taylor]: Taking taylor expansion of b in b 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (/ 1 1) into 1 6.837 * [backup-simplify]: Simplify (- 1) into -1 6.837 * [backup-simplify]: Simplify -1 into -1 6.837 * [backup-simplify]: Simplify 1 into 1 6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.838 * [backup-simplify]: Simplify (- 0) into 0 6.838 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [taylor]: Taking taylor expansion of 0 in b 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (- 0) into 0 6.840 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.841 * [backup-simplify]: Simplify (- 0) into 0 6.842 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [taylor]: Taking taylor expansion of 0 in b 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (- 0) into 0 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.845 * [backup-simplify]: Simplify (- 0) into 0 6.845 * [backup-simplify]: Simplify (+ 0 0) into 0 6.845 * [taylor]: Taking taylor expansion of 0 in b 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 6.845 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 6.845 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 6.845 * [taylor]: Taking taylor expansion of (- a b) in b 6.845 * [taylor]: Taking taylor expansion of a in b 6.846 * [backup-simplify]: Simplify a into a 6.846 * [taylor]: Taking taylor expansion of b in b 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of (- a b) in a 6.846 * [taylor]: Taking taylor expansion of a in a 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of b in a 6.846 * [backup-simplify]: Simplify b into b 6.846 * [taylor]: Taking taylor expansion of (- a b) in a 6.846 * [taylor]: Taking taylor expansion of a in a 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [taylor]: Taking taylor expansion of b in a 6.846 * [backup-simplify]: Simplify b into b 6.846 * [backup-simplify]: Simplify (- b) into (- b) 6.846 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 6.846 * [taylor]: Taking taylor expansion of (- b) in b 6.846 * [taylor]: Taking taylor expansion of b in b 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify (- 0) into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (- 0) into 0 6.847 * [backup-simplify]: Simplify (+ 1 0) into 1 6.847 * [taylor]: Taking taylor expansion of 1 in b 6.847 * [backup-simplify]: Simplify 1 into 1 6.847 * [backup-simplify]: Simplify 1 into 1 6.848 * [backup-simplify]: Simplify (- 1) into -1 6.848 * [backup-simplify]: Simplify -1 into -1 6.848 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [taylor]: Taking taylor expansion of 0 in b 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify (- 0) into 0 6.850 * [backup-simplify]: Simplify (+ 0 0) into 0 6.850 * [taylor]: Taking taylor expansion of 0 in b 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 6.850 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 6.851 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 6.851 * [taylor]: Taking taylor expansion of (- b a) in b 6.851 * [taylor]: Taking taylor expansion of b in b 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of a in b 6.851 * [backup-simplify]: Simplify a into a 6.851 * [taylor]: Taking taylor expansion of (- b a) in a 6.851 * [taylor]: Taking taylor expansion of b in a 6.851 * [backup-simplify]: Simplify b into b 6.851 * [taylor]: Taking taylor expansion of a in a 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [taylor]: Taking taylor expansion of (- b a) in a 6.851 * [taylor]: Taking taylor expansion of b in a 6.851 * [backup-simplify]: Simplify b into b 6.851 * [taylor]: Taking taylor expansion of a in a 6.851 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (- 0) into 0 6.851 * [backup-simplify]: Simplify (+ b 0) into b 6.851 * [taylor]: Taking taylor expansion of b in b 6.851 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify (- 1) into -1 6.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.852 * [taylor]: Taking taylor expansion of -1 in b 6.852 * [backup-simplify]: Simplify -1 into -1 6.852 * [backup-simplify]: Simplify -1 into -1 6.853 * [backup-simplify]: Simplify 1 into 1 6.853 * [backup-simplify]: Simplify (- 0) into 0 6.853 * [backup-simplify]: Simplify (+ 0 0) into 0 6.853 * [taylor]: Taking taylor expansion of 0 in b 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [taylor]: Taking taylor expansion of 0 in b 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 6.855 * * * [progress]: simplifying candidates 6.855 * * * * [progress]: [ 1 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 2 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 3 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 4 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 5 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 6 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 7 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 8 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 9 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 10 / 404 ] simplifiying candidate # 6.855 * * * * [progress]: [ 11 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 12 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 13 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 14 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 15 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 16 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 17 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 18 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 19 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 20 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 21 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 22 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 23 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 24 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 25 / 404 ] simplifiying candidate # 6.856 * * * * [progress]: [ 26 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 27 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 28 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 29 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 30 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 31 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 32 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 33 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 34 / 404 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a))))> 6.857 * * * * [progress]: [ 35 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 36 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 37 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 38 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 39 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 40 / 404 ] simplifiying candidate # 6.857 * * * * [progress]: [ 41 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 42 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 43 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 44 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 45 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 46 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 47 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 48 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 49 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 50 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 51 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 52 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 53 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 54 / 404 ] simplifiying candidate # 6.858 * * * * [progress]: [ 55 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 56 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 57 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 58 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 59 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 60 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 61 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 62 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 63 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 64 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 65 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 66 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 67 / 404 ] simplifiying candidate # 6.859 * * * * [progress]: [ 68 / 404 ] simplifiying candidate # 6.860 * * * * [progress]: [ 69 / 404 ] simplifiying candidate # 6.860 * * * * 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6.883 * * * * [progress]: [ 391 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 392 / 404 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b)))) (- b a))))> 6.884 * * * * [progress]: [ 393 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 394 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 395 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 396 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 397 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 398 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 399 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 400 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 401 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 402 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 403 / 404 ] simplifiying candidate # 6.884 * * * * [progress]: [ 404 / 404 ] simplifiying candidate # 6.897 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (- (- (/ 1 a) (/ 1 b))) (- (- b a)) (/ (/ 1 a) (- b a)) (/ (/ 1 b) (- b a)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ (sqrt b) (sqrt a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- (sqrt b) (sqrt a))) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ (sqrt b) (sqrt a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (- (sqrt b) (sqrt a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 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7.187 * * [simplify]: iteration 1: 1551 enodes 7.514 * * [simplify]: iteration 2: 2003 enodes 7.911 * * [simplify]: iteration complete: 2003 enodes 7.911 * * [simplify]: Extracting #0: cost 241 inf + 0 7.920 * * [simplify]: Extracting #1: cost 669 inf + 44 7.926 * * [simplify]: Extracting #2: cost 745 inf + 8350 7.938 * * [simplify]: Extracting #3: cost 599 inf + 34468 7.964 * * [simplify]: Extracting #4: cost 293 inf + 117770 7.995 * * [simplify]: Extracting #5: cost 44 inf + 206290 8.030 * * [simplify]: Extracting #6: cost 4 inf + 219263 8.064 * * [simplify]: Extracting #7: cost 0 inf + 219835 8.099 * * [simplify]: Extracting #8: cost 0 inf + 219435 8.163 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (* 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(- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (/ -1 b) (real->posit16 (- (/ 1 a) (/ 1 b))) 0 0 0 (/ (/ 1 a) b) (/ (/ 1 a) b) (/ (/ 1 a) b) 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 8.210 * * * [progress]: adding candidates to table 9.872 * * [progress]: iteration 4 / 4 9.872 * * * [progress]: picking best candidate 9.914 * * * * [pick]: Picked # 9.914 * * * [progress]: localizing error 9.965 * * * [progress]: generating rewritten candidates 9.965 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.030 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 10.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 10.134 * * * [progress]: generating series expansions 10.134 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.135 * [backup-simplify]: Simplify (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) into (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) 10.135 * [approximate]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in (a b) around 0 10.135 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in b 10.135 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 10.135 * [taylor]: Taking taylor expansion of PI in b 10.135 * [backup-simplify]: Simplify PI into PI 10.135 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.135 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.135 * [taylor]: Taking taylor expansion of a in b 10.135 * [backup-simplify]: Simplify a into a 10.135 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.135 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.135 * [taylor]: Taking taylor expansion of b in b 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 1 into 1 10.136 * [backup-simplify]: Simplify (/ 1 1) into 1 10.136 * [taylor]: Taking taylor expansion of (+ a b) in b 10.136 * [taylor]: Taking taylor expansion of a in b 10.136 * [backup-simplify]: Simplify a into a 10.136 * [taylor]: Taking taylor expansion of b in b 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 1 into 1 10.136 * [backup-simplify]: Simplify (- 1) into -1 10.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.137 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 10.137 * [backup-simplify]: Simplify (+ a 0) into a 10.137 * [backup-simplify]: Simplify (/ (* -1 PI) a) into (* -1 (/ PI a)) 10.137 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 10.137 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 10.137 * [taylor]: Taking taylor expansion of PI in a 10.137 * [backup-simplify]: Simplify PI into PI 10.137 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.137 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.137 * [taylor]: Taking taylor expansion of a in a 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [backup-simplify]: Simplify (/ 1 1) into 1 10.137 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.137 * [taylor]: Taking taylor expansion of b in a 10.137 * [backup-simplify]: Simplify b into b 10.138 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.138 * [taylor]: Taking taylor expansion of (+ a b) in a 10.138 * [taylor]: Taking taylor expansion of a in a 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.138 * [taylor]: Taking taylor expansion of b in a 10.138 * [backup-simplify]: Simplify b into b 10.138 * [backup-simplify]: Simplify (+ 1 0) into 1 10.138 * [backup-simplify]: Simplify (* PI 1) into PI 10.138 * [backup-simplify]: Simplify (+ 0 b) into b 10.138 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.138 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 10.138 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 10.138 * [taylor]: Taking taylor expansion of PI in a 10.138 * [backup-simplify]: Simplify PI into PI 10.138 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.138 * [taylor]: Taking taylor expansion of a in a 10.138 * [backup-simplify]: Simplify 0 into 0 10.138 * [backup-simplify]: Simplify 1 into 1 10.139 * [backup-simplify]: Simplify (/ 1 1) into 1 10.139 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.139 * [taylor]: Taking taylor expansion of b in a 10.139 * [backup-simplify]: Simplify b into b 10.139 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.139 * [taylor]: Taking taylor expansion of (+ a b) in a 10.139 * [taylor]: Taking taylor expansion of a in a 10.139 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify 1 into 1 10.139 * [taylor]: Taking taylor expansion of b in a 10.139 * [backup-simplify]: Simplify b into b 10.139 * [backup-simplify]: Simplify (+ 1 0) into 1 10.139 * [backup-simplify]: Simplify (* PI 1) into PI 10.139 * [backup-simplify]: Simplify (+ 0 b) into b 10.140 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.140 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.140 * [taylor]: Taking taylor expansion of PI in b 10.140 * [backup-simplify]: Simplify PI into PI 10.140 * [taylor]: Taking taylor expansion of b in b 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [backup-simplify]: Simplify (/ PI 1) into PI 10.140 * [backup-simplify]: Simplify PI into PI 10.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.141 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.141 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.141 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 10.141 * [backup-simplify]: Simplify (+ 1 0) into 1 10.141 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 10.141 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 10.142 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 10.142 * [taylor]: Taking taylor expansion of 2 in b 10.142 * [backup-simplify]: Simplify 2 into 2 10.142 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.142 * [taylor]: Taking taylor expansion of PI in b 10.142 * [backup-simplify]: Simplify PI into PI 10.142 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.142 * [taylor]: Taking taylor expansion of b in b 10.142 * [backup-simplify]: Simplify 0 into 0 10.142 * [backup-simplify]: Simplify 1 into 1 10.142 * [backup-simplify]: Simplify (* 1 1) into 1 10.142 * [backup-simplify]: Simplify (/ PI 1) into PI 10.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.144 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 10.145 * [backup-simplify]: Simplify (- 0) into 0 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.147 * [backup-simplify]: Simplify (- 0) into 0 10.147 * [backup-simplify]: Simplify (+ 0 0) into 0 10.148 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 10.149 * [backup-simplify]: Simplify (+ 0 0) into 0 10.149 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 10.149 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 10.149 * [taylor]: Taking taylor expansion of 2 in b 10.149 * [backup-simplify]: Simplify 2 into 2 10.149 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.149 * [taylor]: Taking taylor expansion of PI in b 10.149 * [backup-simplify]: Simplify PI into PI 10.149 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.149 * [taylor]: Taking taylor expansion of b in b 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.150 * [backup-simplify]: Simplify (* 1 1) into 1 10.150 * [backup-simplify]: Simplify (* 1 1) into 1 10.150 * [backup-simplify]: Simplify (/ PI 1) into PI 10.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.157 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.157 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.164 * [backup-simplify]: Simplify (- 0) into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.167 * [backup-simplify]: Simplify (- 0) into 0 10.167 * [backup-simplify]: Simplify (+ 0 0) into 0 10.168 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 10.169 * [backup-simplify]: Simplify (+ 0 0) into 0 10.169 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 10.169 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 10.169 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 10.169 * [taylor]: Taking taylor expansion of 2 in b 10.169 * [backup-simplify]: Simplify 2 into 2 10.169 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.169 * [taylor]: Taking taylor expansion of PI in b 10.169 * [backup-simplify]: Simplify PI into PI 10.169 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.169 * [taylor]: Taking taylor expansion of b in b 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 1 into 1 10.170 * [backup-simplify]: Simplify (* 1 1) into 1 10.170 * [backup-simplify]: Simplify (* 1 1) into 1 10.171 * [backup-simplify]: Simplify (/ PI 1) into PI 10.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.181 * [backup-simplify]: Simplify (- 0) into 0 10.181 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 10.181 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) 10.181 * [approximate]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 10.181 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in b 10.181 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 10.181 * [taylor]: Taking taylor expansion of (- a b) in b 10.181 * [taylor]: Taking taylor expansion of a in b 10.181 * [backup-simplify]: Simplify a into a 10.181 * [taylor]: Taking taylor expansion of b in b 10.181 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify 1 into 1 10.182 * [taylor]: Taking taylor expansion of PI in b 10.182 * [backup-simplify]: Simplify PI into PI 10.182 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.182 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.182 * [taylor]: Taking taylor expansion of a in b 10.182 * [backup-simplify]: Simplify a into a 10.182 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.182 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.182 * [taylor]: Taking taylor expansion of b in b 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 1 into 1 10.182 * [backup-simplify]: Simplify (/ 1 1) into 1 10.183 * [backup-simplify]: Simplify (- 0) into 0 10.183 * [backup-simplify]: Simplify (+ a 0) into a 10.183 * [backup-simplify]: Simplify (* a PI) into (* a PI) 10.183 * [backup-simplify]: Simplify (+ 0 1) into 1 10.183 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 10.183 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 10.183 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 10.183 * [taylor]: Taking taylor expansion of (- a b) in a 10.183 * [taylor]: Taking taylor expansion of a in a 10.183 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify 1 into 1 10.183 * [taylor]: Taking taylor expansion of b in a 10.183 * [backup-simplify]: Simplify b into b 10.183 * [taylor]: Taking taylor expansion of PI in a 10.183 * [backup-simplify]: Simplify PI into PI 10.183 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.183 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.183 * [taylor]: Taking taylor expansion of a in a 10.183 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (/ 1 1) into 1 10.184 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.184 * [taylor]: Taking taylor expansion of b in a 10.184 * [backup-simplify]: Simplify b into b 10.184 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.184 * [backup-simplify]: Simplify (- b) into (- b) 10.184 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 10.184 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 10.185 * [backup-simplify]: Simplify (+ 1 0) into 1 10.185 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 10.185 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 10.185 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 10.185 * [taylor]: Taking taylor expansion of (- a b) in a 10.185 * [taylor]: Taking taylor expansion of a in a 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [taylor]: Taking taylor expansion of b in a 10.185 * [backup-simplify]: Simplify b into b 10.185 * [taylor]: Taking taylor expansion of PI in a 10.185 * [backup-simplify]: Simplify PI into PI 10.185 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.185 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.185 * [taylor]: Taking taylor expansion of a in a 10.185 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify 1 into 1 10.185 * [backup-simplify]: Simplify (/ 1 1) into 1 10.185 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.186 * [taylor]: Taking taylor expansion of b in a 10.186 * [backup-simplify]: Simplify b into b 10.186 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.186 * [backup-simplify]: Simplify (- b) into (- b) 10.186 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 10.186 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 10.186 * [backup-simplify]: Simplify (+ 1 0) into 1 10.186 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 10.186 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 10.186 * [taylor]: Taking taylor expansion of -1 in b 10.186 * [backup-simplify]: Simplify -1 into -1 10.186 * [taylor]: Taking taylor expansion of (* b PI) in b 10.186 * [taylor]: Taking taylor expansion of b in b 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [taylor]: Taking taylor expansion of PI in b 10.187 * [backup-simplify]: Simplify PI into PI 10.188 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.189 * [backup-simplify]: Simplify (* 0 PI) into 0 10.190 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 10.191 * [backup-simplify]: Simplify (- PI) into (- PI) 10.191 * [backup-simplify]: Simplify (- 0) into 0 10.191 * [backup-simplify]: Simplify (+ 1 0) into 1 10.192 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.193 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.193 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 10.193 * [taylor]: Taking taylor expansion of (* 2 PI) in b 10.193 * [taylor]: Taking taylor expansion of 2 in b 10.193 * [backup-simplify]: Simplify 2 into 2 10.193 * [taylor]: Taking taylor expansion of PI in b 10.194 * [backup-simplify]: Simplify PI into PI 10.194 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 10.194 * [backup-simplify]: Simplify 0 into 0 10.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify (- 0) into 0 10.197 * [backup-simplify]: Simplify (+ 0 0) into 0 10.198 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 10.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 10.201 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 10.201 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 10.201 * [taylor]: Taking taylor expansion of 2 in b 10.201 * [backup-simplify]: Simplify 2 into 2 10.201 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.201 * [taylor]: Taking taylor expansion of PI in b 10.201 * [backup-simplify]: Simplify PI into PI 10.201 * [taylor]: Taking taylor expansion of b in b 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (/ PI 1) into PI 10.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.205 * [backup-simplify]: Simplify (- 0) into 0 10.205 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.206 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.209 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.209 * [backup-simplify]: Simplify 0 into 0 10.210 * [backup-simplify]: Simplify (- 0) into 0 10.210 * [backup-simplify]: Simplify (+ 0 0) into 0 10.211 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.213 * [backup-simplify]: Simplify (+ 0 0) into 0 10.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 10.215 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 10.215 * [taylor]: Taking taylor expansion of 2 in b 10.215 * [backup-simplify]: Simplify 2 into 2 10.215 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.215 * [taylor]: Taking taylor expansion of PI in b 10.215 * [backup-simplify]: Simplify PI into PI 10.215 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.215 * [taylor]: Taking taylor expansion of b in b 10.215 * [backup-simplify]: Simplify 0 into 0 10.215 * [backup-simplify]: Simplify 1 into 1 10.215 * [backup-simplify]: Simplify (* 1 1) into 1 10.216 * [backup-simplify]: Simplify (/ PI 1) into PI 10.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.224 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 10.225 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) 10.225 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 10.225 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in b 10.225 * [taylor]: Taking taylor expansion of -1 in b 10.225 * [backup-simplify]: Simplify -1 into -1 10.225 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in b 10.225 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 10.225 * [taylor]: Taking taylor expansion of (- b a) in b 10.225 * [taylor]: Taking taylor expansion of b in b 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [taylor]: Taking taylor expansion of a in b 10.225 * [backup-simplify]: Simplify a into a 10.225 * [taylor]: Taking taylor expansion of PI in b 10.225 * [backup-simplify]: Simplify PI into PI 10.225 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.225 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.225 * [taylor]: Taking taylor expansion of a in b 10.225 * [backup-simplify]: Simplify a into a 10.225 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.225 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.225 * [taylor]: Taking taylor expansion of b in b 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.226 * [backup-simplify]: Simplify (/ 1 1) into 1 10.226 * [backup-simplify]: Simplify (- a) into (- a) 10.226 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.226 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 10.226 * [backup-simplify]: Simplify (+ 0 1) into 1 10.226 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) 1) into (* -1 (* a PI)) 10.226 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 10.226 * [taylor]: Taking taylor expansion of -1 in a 10.226 * [backup-simplify]: Simplify -1 into -1 10.226 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 10.226 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 10.227 * [taylor]: Taking taylor expansion of (- b a) in a 10.227 * [taylor]: Taking taylor expansion of b in a 10.227 * [backup-simplify]: Simplify b into b 10.227 * [taylor]: Taking taylor expansion of a in a 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [taylor]: Taking taylor expansion of PI in a 10.227 * [backup-simplify]: Simplify PI into PI 10.227 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.227 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.227 * [taylor]: Taking taylor expansion of a in a 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (/ 1 1) into 1 10.227 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.227 * [taylor]: Taking taylor expansion of b in a 10.227 * [backup-simplify]: Simplify b into b 10.227 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.228 * [backup-simplify]: Simplify (- 0) into 0 10.228 * [backup-simplify]: Simplify (+ b 0) into b 10.228 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.228 * [backup-simplify]: Simplify (+ 1 0) into 1 10.228 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.228 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 10.228 * [taylor]: Taking taylor expansion of -1 in a 10.229 * [backup-simplify]: Simplify -1 into -1 10.229 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 10.229 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 10.229 * [taylor]: Taking taylor expansion of (- b a) in a 10.229 * [taylor]: Taking taylor expansion of b in a 10.229 * [backup-simplify]: Simplify b into b 10.229 * [taylor]: Taking taylor expansion of a in a 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 1 into 1 10.229 * [taylor]: Taking taylor expansion of PI in a 10.229 * [backup-simplify]: Simplify PI into PI 10.229 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.229 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.229 * [taylor]: Taking taylor expansion of a in a 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify (/ 1 1) into 1 10.229 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.229 * [taylor]: Taking taylor expansion of b in a 10.229 * [backup-simplify]: Simplify b into b 10.229 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.230 * [backup-simplify]: Simplify (- 0) into 0 10.230 * [backup-simplify]: Simplify (+ b 0) into b 10.230 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.230 * [backup-simplify]: Simplify (+ 1 0) into 1 10.230 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.231 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 10.231 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 10.231 * [taylor]: Taking taylor expansion of -1 in b 10.231 * [backup-simplify]: Simplify -1 into -1 10.231 * [taylor]: Taking taylor expansion of (* PI b) in b 10.231 * [taylor]: Taking taylor expansion of PI in b 10.231 * [backup-simplify]: Simplify PI into PI 10.231 * [taylor]: Taking taylor expansion of b in b 10.231 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify 1 into 1 10.232 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.233 * [backup-simplify]: Simplify (* PI 0) into 0 10.235 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 10.235 * [backup-simplify]: Simplify (- PI) into (- PI) 10.235 * [backup-simplify]: Simplify (- 1) into -1 10.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.236 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.237 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.238 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 10.240 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 10.240 * [taylor]: Taking taylor expansion of (* 2 PI) in b 10.240 * [taylor]: Taking taylor expansion of 2 in b 10.240 * [backup-simplify]: Simplify 2 into 2 10.240 * [taylor]: Taking taylor expansion of PI in b 10.240 * [backup-simplify]: Simplify PI into PI 10.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (- 0) into 0 10.245 * [backup-simplify]: Simplify (+ 0 0) into 0 10.246 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 10.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.248 * [backup-simplify]: Simplify (+ 0 0) into 0 10.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 10.251 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 10.251 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 10.251 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 10.251 * [taylor]: Taking taylor expansion of 2 in b 10.251 * [backup-simplify]: Simplify 2 into 2 10.251 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.251 * [taylor]: Taking taylor expansion of PI in b 10.251 * [backup-simplify]: Simplify PI into PI 10.251 * [taylor]: Taking taylor expansion of b in b 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.251 * [backup-simplify]: Simplify (/ PI 1) into PI 10.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.255 * [backup-simplify]: Simplify (- 0) into 0 10.255 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 10.256 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (- 0) into 0 10.259 * [backup-simplify]: Simplify (+ 0 0) into 0 10.260 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.262 * [backup-simplify]: Simplify (+ 0 0) into 0 10.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 10.265 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b))))) into (* 2 (/ PI (pow b 2))) 10.265 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 10.265 * [taylor]: Taking taylor expansion of 2 in b 10.265 * [backup-simplify]: Simplify 2 into 2 10.265 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.265 * [taylor]: Taking taylor expansion of PI in b 10.265 * [backup-simplify]: Simplify PI into PI 10.265 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.265 * [taylor]: Taking taylor expansion of b in b 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify 1 into 1 10.265 * [backup-simplify]: Simplify (* 1 1) into 1 10.266 * [backup-simplify]: Simplify (/ PI 1) into PI 10.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.273 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 10.273 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.274 * [backup-simplify]: Simplify (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (/ 1/2 (- b a))) into (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 10.274 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 10.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 10.274 * [taylor]: Taking taylor expansion of 1/2 in b 10.274 * [backup-simplify]: Simplify 1/2 into 1/2 10.274 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 10.274 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 10.274 * [taylor]: Taking taylor expansion of PI in b 10.274 * [backup-simplify]: Simplify PI into PI 10.274 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.274 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.274 * [taylor]: Taking taylor expansion of a in b 10.274 * [backup-simplify]: Simplify a into a 10.274 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.274 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.274 * [taylor]: Taking taylor expansion of b in b 10.274 * [backup-simplify]: Simplify 0 into 0 10.274 * [backup-simplify]: Simplify 1 into 1 10.274 * [backup-simplify]: Simplify (/ 1 1) into 1 10.274 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 10.275 * [taylor]: Taking taylor expansion of (+ a b) in b 10.275 * [taylor]: Taking taylor expansion of a in b 10.275 * [backup-simplify]: Simplify a into a 10.275 * [taylor]: Taking taylor expansion of b in b 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [taylor]: Taking taylor expansion of (- b a) in b 10.275 * [taylor]: Taking taylor expansion of b in b 10.275 * [backup-simplify]: Simplify 0 into 0 10.275 * [backup-simplify]: Simplify 1 into 1 10.275 * [taylor]: Taking taylor expansion of a in b 10.275 * [backup-simplify]: Simplify a into a 10.275 * [backup-simplify]: Simplify (- 1) into -1 10.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.276 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 10.276 * [backup-simplify]: Simplify (+ a 0) into a 10.276 * [backup-simplify]: Simplify (- a) into (- a) 10.276 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.276 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 10.277 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 10.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 10.277 * [taylor]: Taking taylor expansion of 1/2 in a 10.277 * [backup-simplify]: Simplify 1/2 into 1/2 10.277 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 10.277 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 10.277 * [taylor]: Taking taylor expansion of PI in a 10.277 * [backup-simplify]: Simplify PI into PI 10.277 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.277 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.277 * [taylor]: Taking taylor expansion of a in a 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify 1 into 1 10.278 * [backup-simplify]: Simplify (/ 1 1) into 1 10.278 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.278 * [taylor]: Taking taylor expansion of b in a 10.278 * [backup-simplify]: Simplify b into b 10.278 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.278 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 10.278 * [taylor]: Taking taylor expansion of (+ a b) in a 10.278 * [taylor]: Taking taylor expansion of a in a 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [taylor]: Taking taylor expansion of b in a 10.278 * [backup-simplify]: Simplify b into b 10.278 * [taylor]: Taking taylor expansion of (- b a) in a 10.278 * [taylor]: Taking taylor expansion of b in a 10.278 * [backup-simplify]: Simplify b into b 10.278 * [taylor]: Taking taylor expansion of a in a 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.278 * [backup-simplify]: Simplify (+ 1 0) into 1 10.279 * [backup-simplify]: Simplify (* PI 1) into PI 10.279 * [backup-simplify]: Simplify (+ 0 b) into b 10.279 * [backup-simplify]: Simplify (- 0) into 0 10.279 * [backup-simplify]: Simplify (+ b 0) into b 10.279 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.280 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 10.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 10.280 * [taylor]: Taking taylor expansion of 1/2 in a 10.280 * [backup-simplify]: Simplify 1/2 into 1/2 10.280 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 10.280 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 10.280 * [taylor]: Taking taylor expansion of PI in a 10.280 * [backup-simplify]: Simplify PI into PI 10.280 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.280 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.280 * [taylor]: Taking taylor expansion of a in a 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ 1 1) into 1 10.280 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.280 * [taylor]: Taking taylor expansion of b in a 10.280 * [backup-simplify]: Simplify b into b 10.280 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.280 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 10.280 * [taylor]: Taking taylor expansion of (+ a b) in a 10.280 * [taylor]: Taking taylor expansion of a in a 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [taylor]: Taking taylor expansion of b in a 10.280 * [backup-simplify]: Simplify b into b 10.281 * [taylor]: Taking taylor expansion of (- b a) in a 10.281 * [taylor]: Taking taylor expansion of b in a 10.281 * [backup-simplify]: Simplify b into b 10.281 * [taylor]: Taking taylor expansion of a in a 10.281 * [backup-simplify]: Simplify 0 into 0 10.281 * [backup-simplify]: Simplify 1 into 1 10.281 * [backup-simplify]: Simplify (+ 1 0) into 1 10.282 * [backup-simplify]: Simplify (* PI 1) into PI 10.282 * [backup-simplify]: Simplify (+ 0 b) into b 10.282 * [backup-simplify]: Simplify (- 0) into 0 10.282 * [backup-simplify]: Simplify (+ b 0) into b 10.282 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.282 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 10.282 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 10.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 10.282 * [taylor]: Taking taylor expansion of 1/2 in b 10.282 * [backup-simplify]: Simplify 1/2 into 1/2 10.282 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.282 * [taylor]: Taking taylor expansion of PI in b 10.282 * [backup-simplify]: Simplify PI into PI 10.283 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.283 * [taylor]: Taking taylor expansion of b in b 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 1 into 1 10.283 * [backup-simplify]: Simplify (* 1 1) into 1 10.283 * [backup-simplify]: Simplify (/ PI 1) into PI 10.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 10.286 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.287 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.287 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.287 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 10.288 * [backup-simplify]: Simplify (- 1) into -1 10.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.289 * [backup-simplify]: Simplify (+ 1 0) into 1 10.289 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 10.289 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 10.289 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 10.289 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 10.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 10.289 * [taylor]: Taking taylor expansion of 1/2 in b 10.289 * [backup-simplify]: Simplify 1/2 into 1/2 10.290 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.290 * [taylor]: Taking taylor expansion of PI in b 10.290 * [backup-simplify]: Simplify PI into PI 10.290 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.290 * [taylor]: Taking taylor expansion of b in b 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 1 into 1 10.290 * [backup-simplify]: Simplify (* 1 1) into 1 10.290 * [backup-simplify]: Simplify (* 1 1) into 1 10.291 * [backup-simplify]: Simplify (/ PI 1) into PI 10.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.299 * [backup-simplify]: Simplify 0 into 0 10.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.302 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.303 * [backup-simplify]: Simplify (- 0) into 0 10.304 * [backup-simplify]: Simplify (+ 0 0) into 0 10.305 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 10.305 * [backup-simplify]: Simplify (- 0) into 0 10.305 * [backup-simplify]: Simplify (+ 0 0) into 0 10.306 * [backup-simplify]: Simplify (+ 0 0) into 0 10.306 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 10.313 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 10.313 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 10.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 10.313 * [taylor]: Taking taylor expansion of 1/2 in b 10.313 * [backup-simplify]: Simplify 1/2 into 1/2 10.313 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.313 * [taylor]: Taking taylor expansion of PI in b 10.313 * [backup-simplify]: Simplify PI into PI 10.313 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.313 * [taylor]: Taking taylor expansion of b in b 10.313 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify 1 into 1 10.314 * [backup-simplify]: Simplify (* 1 1) into 1 10.314 * [backup-simplify]: Simplify (* 1 1) into 1 10.315 * [backup-simplify]: Simplify (/ PI 1) into PI 10.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.320 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.323 * [backup-simplify]: Simplify (- 0) into 0 10.323 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify (* (* (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) (/ 1/2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 10.325 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 10.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 10.325 * [taylor]: Taking taylor expansion of 1/2 in b 10.325 * [backup-simplify]: Simplify 1/2 into 1/2 10.325 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 10.325 * [taylor]: Taking taylor expansion of (* PI (- a b)) in b 10.325 * [taylor]: Taking taylor expansion of PI in b 10.326 * [backup-simplify]: Simplify PI into PI 10.326 * [taylor]: Taking taylor expansion of (- a b) in b 10.326 * [taylor]: Taking taylor expansion of a in b 10.326 * [backup-simplify]: Simplify a into a 10.326 * [taylor]: Taking taylor expansion of b in b 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 10.326 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.326 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.326 * [taylor]: Taking taylor expansion of a in b 10.326 * [backup-simplify]: Simplify a into a 10.326 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.326 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.326 * [taylor]: Taking taylor expansion of b in b 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [backup-simplify]: Simplify (/ 1 1) into 1 10.326 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.326 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.326 * [taylor]: Taking taylor expansion of b in b 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [backup-simplify]: Simplify (/ 1 1) into 1 10.326 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.326 * [taylor]: Taking taylor expansion of a in b 10.326 * [backup-simplify]: Simplify a into a 10.326 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.327 * [backup-simplify]: Simplify (- 0) into 0 10.327 * [backup-simplify]: Simplify (+ a 0) into a 10.327 * [backup-simplify]: Simplify (* PI a) into (* a PI) 10.327 * [backup-simplify]: Simplify (+ 0 1) into 1 10.327 * [backup-simplify]: Simplify (+ 1 0) into 1 10.328 * [backup-simplify]: Simplify (* 1 1) into 1 10.328 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 10.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.328 * [taylor]: Taking taylor expansion of 1/2 in a 10.328 * [backup-simplify]: Simplify 1/2 into 1/2 10.328 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.328 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 10.328 * [taylor]: Taking taylor expansion of PI in a 10.328 * [backup-simplify]: Simplify PI into PI 10.328 * [taylor]: Taking taylor expansion of (- a b) in a 10.328 * [taylor]: Taking taylor expansion of a in a 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [taylor]: Taking taylor expansion of b in a 10.328 * [backup-simplify]: Simplify b into b 10.328 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.328 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.328 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.328 * [taylor]: Taking taylor expansion of a in a 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [backup-simplify]: Simplify (/ 1 1) into 1 10.328 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.328 * [taylor]: Taking taylor expansion of b in a 10.328 * [backup-simplify]: Simplify b into b 10.328 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.328 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.328 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.328 * [taylor]: Taking taylor expansion of b in a 10.328 * [backup-simplify]: Simplify b into b 10.328 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.328 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.328 * [taylor]: Taking taylor expansion of a in a 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.329 * [backup-simplify]: Simplify (/ 1 1) into 1 10.329 * [backup-simplify]: Simplify (- b) into (- b) 10.329 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 10.329 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 10.329 * [backup-simplify]: Simplify (+ 1 0) into 1 10.329 * [backup-simplify]: Simplify (- 1) into -1 10.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.330 * [backup-simplify]: Simplify (* 1 -1) into -1 10.330 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 10.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.330 * [taylor]: Taking taylor expansion of 1/2 in a 10.330 * [backup-simplify]: Simplify 1/2 into 1/2 10.330 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.330 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 10.330 * [taylor]: Taking taylor expansion of PI in a 10.330 * [backup-simplify]: Simplify PI into PI 10.330 * [taylor]: Taking taylor expansion of (- a b) in a 10.330 * [taylor]: Taking taylor expansion of a in a 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [taylor]: Taking taylor expansion of b in a 10.330 * [backup-simplify]: Simplify b into b 10.330 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.330 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.330 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.330 * [taylor]: Taking taylor expansion of a in a 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.330 * [backup-simplify]: Simplify (/ 1 1) into 1 10.330 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.330 * [taylor]: Taking taylor expansion of b in a 10.330 * [backup-simplify]: Simplify b into b 10.330 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.330 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.330 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.330 * [taylor]: Taking taylor expansion of b in a 10.331 * [backup-simplify]: Simplify b into b 10.331 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.331 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.331 * [taylor]: Taking taylor expansion of a in a 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (/ 1 1) into 1 10.331 * [backup-simplify]: Simplify (- b) into (- b) 10.331 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 10.331 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 10.331 * [backup-simplify]: Simplify (+ 1 0) into 1 10.331 * [backup-simplify]: Simplify (- 1) into -1 10.332 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.332 * [backup-simplify]: Simplify (* 1 -1) into -1 10.332 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 10.332 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 10.332 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 10.332 * [taylor]: Taking taylor expansion of 1/2 in b 10.332 * [backup-simplify]: Simplify 1/2 into 1/2 10.332 * [taylor]: Taking taylor expansion of (* PI b) in b 10.332 * [taylor]: Taking taylor expansion of PI in b 10.332 * [backup-simplify]: Simplify PI into PI 10.332 * [taylor]: Taking taylor expansion of b in b 10.332 * [backup-simplify]: Simplify 0 into 0 10.332 * [backup-simplify]: Simplify 1 into 1 10.333 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.334 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.334 * [backup-simplify]: Simplify (* PI 0) into 0 10.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (- 0) into 0 10.335 * [backup-simplify]: Simplify (+ 1 0) into 1 10.336 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 (- b))) into PI 10.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.336 * [backup-simplify]: Simplify (- 0) into 0 10.336 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.337 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.337 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 10.338 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* PI b) (/ 0 -1)))) into (- PI) 10.338 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 10.338 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 10.338 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 10.338 * [taylor]: Taking taylor expansion of 1/2 in b 10.338 * [backup-simplify]: Simplify 1/2 into 1/2 10.338 * [taylor]: Taking taylor expansion of PI in b 10.338 * [backup-simplify]: Simplify PI into PI 10.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.339 * [backup-simplify]: Simplify (- 0) into 0 10.339 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.341 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify (- 0) into 0 10.341 * [backup-simplify]: Simplify (+ 0 0) into 0 10.342 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 (- b)))) into 0 10.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.343 * [backup-simplify]: Simplify (- 0) into 0 10.343 * [backup-simplify]: Simplify (+ 0 0) into 0 10.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.344 * [backup-simplify]: Simplify (+ 0 0) into 0 10.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 10.345 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* PI b) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 10.346 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 10.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 10.346 * [taylor]: Taking taylor expansion of 1/2 in b 10.346 * [backup-simplify]: Simplify 1/2 into 1/2 10.346 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.346 * [taylor]: Taking taylor expansion of PI in b 10.346 * [backup-simplify]: Simplify PI into PI 10.346 * [taylor]: Taking taylor expansion of b in b 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify 1 into 1 10.346 * [backup-simplify]: Simplify (/ PI 1) into PI 10.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.350 * [backup-simplify]: Simplify (- 0) into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify (* (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) (/ 1/2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 10.352 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 10.352 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 10.352 * [taylor]: Taking taylor expansion of -1/2 in b 10.352 * [backup-simplify]: Simplify -1/2 into -1/2 10.352 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 10.352 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 10.352 * [taylor]: Taking taylor expansion of (- b a) in b 10.352 * [taylor]: Taking taylor expansion of b in b 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [taylor]: Taking taylor expansion of a in b 10.352 * [backup-simplify]: Simplify a into a 10.352 * [taylor]: Taking taylor expansion of PI in b 10.352 * [backup-simplify]: Simplify PI into PI 10.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 10.352 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.352 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.352 * [taylor]: Taking taylor expansion of a in b 10.352 * [backup-simplify]: Simplify a into a 10.352 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.352 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.352 * [taylor]: Taking taylor expansion of b in b 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.352 * [backup-simplify]: Simplify (/ 1 1) into 1 10.352 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.352 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.352 * [taylor]: Taking taylor expansion of a in b 10.352 * [backup-simplify]: Simplify a into a 10.352 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.352 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.352 * [taylor]: Taking taylor expansion of b in b 10.352 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify 1 into 1 10.353 * [backup-simplify]: Simplify (/ 1 1) into 1 10.353 * [backup-simplify]: Simplify (- a) into (- a) 10.353 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.353 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 10.353 * [backup-simplify]: Simplify (+ 0 1) into 1 10.353 * [backup-simplify]: Simplify (- 1) into -1 10.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.354 * [backup-simplify]: Simplify (* 1 -1) into -1 10.354 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 10.354 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.354 * [taylor]: Taking taylor expansion of -1/2 in a 10.354 * [backup-simplify]: Simplify -1/2 into -1/2 10.354 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.354 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 10.354 * [taylor]: Taking taylor expansion of (- b a) in a 10.354 * [taylor]: Taking taylor expansion of b in a 10.354 * [backup-simplify]: Simplify b into b 10.354 * [taylor]: Taking taylor expansion of a in a 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [taylor]: Taking taylor expansion of PI in a 10.354 * [backup-simplify]: Simplify PI into PI 10.354 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.354 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.354 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.354 * [taylor]: Taking taylor expansion of a in a 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (/ 1 1) into 1 10.354 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.354 * [taylor]: Taking taylor expansion of b in a 10.354 * [backup-simplify]: Simplify b into b 10.355 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.355 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.355 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.355 * [taylor]: Taking taylor expansion of a in a 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify 1 into 1 10.355 * [backup-simplify]: Simplify (/ 1 1) into 1 10.355 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.355 * [taylor]: Taking taylor expansion of b in a 10.355 * [backup-simplify]: Simplify b into b 10.355 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.355 * [backup-simplify]: Simplify (- 0) into 0 10.355 * [backup-simplify]: Simplify (+ b 0) into b 10.355 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.356 * [backup-simplify]: Simplify (+ 1 0) into 1 10.356 * [backup-simplify]: Simplify (+ 1 0) into 1 10.357 * [backup-simplify]: Simplify (* 1 1) into 1 10.357 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.357 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.357 * [taylor]: Taking taylor expansion of -1/2 in a 10.357 * [backup-simplify]: Simplify -1/2 into -1/2 10.357 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.357 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 10.357 * [taylor]: Taking taylor expansion of (- b a) in a 10.357 * [taylor]: Taking taylor expansion of b in a 10.357 * [backup-simplify]: Simplify b into b 10.357 * [taylor]: Taking taylor expansion of a in a 10.357 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify 1 into 1 10.357 * [taylor]: Taking taylor expansion of PI in a 10.357 * [backup-simplify]: Simplify PI into PI 10.357 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.357 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.357 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.357 * [taylor]: Taking taylor expansion of a in a 10.357 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify 1 into 1 10.358 * [backup-simplify]: Simplify (/ 1 1) into 1 10.358 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.358 * [taylor]: Taking taylor expansion of b in a 10.358 * [backup-simplify]: Simplify b into b 10.358 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.358 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.358 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.358 * [taylor]: Taking taylor expansion of a in a 10.358 * [backup-simplify]: Simplify 0 into 0 10.358 * [backup-simplify]: Simplify 1 into 1 10.358 * [backup-simplify]: Simplify (/ 1 1) into 1 10.358 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.358 * [taylor]: Taking taylor expansion of b in a 10.358 * [backup-simplify]: Simplify b into b 10.358 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.359 * [backup-simplify]: Simplify (- 0) into 0 10.359 * [backup-simplify]: Simplify (+ b 0) into b 10.359 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.359 * [backup-simplify]: Simplify (+ 1 0) into 1 10.360 * [backup-simplify]: Simplify (+ 1 0) into 1 10.360 * [backup-simplify]: Simplify (* 1 1) into 1 10.360 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.360 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 10.360 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 10.360 * [taylor]: Taking taylor expansion of -1/2 in b 10.360 * [backup-simplify]: Simplify -1/2 into -1/2 10.360 * [taylor]: Taking taylor expansion of (* PI b) in b 10.361 * [taylor]: Taking taylor expansion of PI in b 10.361 * [backup-simplify]: Simplify PI into PI 10.361 * [taylor]: Taking taylor expansion of b in b 10.361 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.363 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.364 * [backup-simplify]: Simplify (* PI 0) into 0 10.365 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify (- 1) into -1 10.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.366 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 10.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.367 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.367 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.368 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.368 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 10.370 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 10.371 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 10.371 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 10.371 * [taylor]: Taking taylor expansion of 1/2 in b 10.371 * [backup-simplify]: Simplify 1/2 into 1/2 10.371 * [taylor]: Taking taylor expansion of PI in b 10.371 * [backup-simplify]: Simplify PI into PI 10.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.373 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.375 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.375 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify (- 0) into 0 10.376 * [backup-simplify]: Simplify (+ 0 0) into 0 10.377 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 10.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.379 * [backup-simplify]: Simplify (- 0) into 0 10.379 * [backup-simplify]: Simplify (+ 0 0) into 0 10.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.381 * [backup-simplify]: Simplify (+ 0 0) into 0 10.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 10.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 10.384 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 10.384 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 10.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 10.384 * [taylor]: Taking taylor expansion of 1/2 in b 10.384 * [backup-simplify]: Simplify 1/2 into 1/2 10.384 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.384 * [taylor]: Taking taylor expansion of PI in b 10.384 * [backup-simplify]: Simplify PI into PI 10.384 * [taylor]: Taking taylor expansion of b in b 10.384 * [backup-simplify]: Simplify 0 into 0 10.384 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (/ PI 1) into PI 10.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.390 * [backup-simplify]: Simplify (- 0) into 0 10.390 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.391 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.394 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.394 * [backup-simplify]: Simplify 0 into 0 10.394 * [backup-simplify]: Simplify 0 into 0 10.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 10.395 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 10.395 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 10.395 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 10.395 * [taylor]: Taking taylor expansion of PI in b 10.395 * [backup-simplify]: Simplify PI into PI 10.395 * [taylor]: Taking taylor expansion of (+ a b) in b 10.395 * [taylor]: Taking taylor expansion of a in b 10.395 * [backup-simplify]: Simplify a into a 10.395 * [taylor]: Taking taylor expansion of b in b 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [backup-simplify]: Simplify (+ a 0) into a 10.395 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 10.395 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 10.395 * [taylor]: Taking taylor expansion of PI in a 10.395 * [backup-simplify]: Simplify PI into PI 10.395 * [taylor]: Taking taylor expansion of (+ a b) in a 10.395 * [taylor]: Taking taylor expansion of a in a 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [taylor]: Taking taylor expansion of b in a 10.395 * [backup-simplify]: Simplify b into b 10.395 * [backup-simplify]: Simplify (+ 0 b) into b 10.395 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.396 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 10.396 * [taylor]: Taking taylor expansion of PI in a 10.396 * [backup-simplify]: Simplify PI into PI 10.396 * [taylor]: Taking taylor expansion of (+ a b) in a 10.396 * [taylor]: Taking taylor expansion of a in a 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.396 * [taylor]: Taking taylor expansion of b in a 10.396 * [backup-simplify]: Simplify b into b 10.396 * [backup-simplify]: Simplify (+ 0 b) into b 10.396 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.396 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.396 * [taylor]: Taking taylor expansion of PI in b 10.396 * [backup-simplify]: Simplify PI into PI 10.396 * [taylor]: Taking taylor expansion of b in b 10.396 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify 1 into 1 10.397 * [backup-simplify]: Simplify (/ PI 1) into PI 10.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.398 * [backup-simplify]: Simplify 0 into 0 10.398 * [backup-simplify]: Simplify (+ 1 0) into 1 10.398 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 10.398 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 10.398 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.398 * [taylor]: Taking taylor expansion of PI in b 10.398 * [backup-simplify]: Simplify PI into PI 10.399 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.399 * [taylor]: Taking taylor expansion of b in b 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify 1 into 1 10.399 * [backup-simplify]: Simplify (* 1 1) into 1 10.399 * [backup-simplify]: Simplify (/ PI 1) into PI 10.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.403 * [backup-simplify]: Simplify (- 0) into 0 10.404 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.405 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify (+ 0 0) into 0 10.405 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 10.406 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.406 * [taylor]: Taking taylor expansion of PI in b 10.406 * [backup-simplify]: Simplify PI into PI 10.406 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.406 * [taylor]: Taking taylor expansion of b in b 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 1 into 1 10.406 * [backup-simplify]: Simplify (* 1 1) into 1 10.406 * [backup-simplify]: Simplify (* 1 1) into 1 10.407 * [backup-simplify]: Simplify (/ PI 1) into PI 10.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.415 * [backup-simplify]: Simplify (- 0) into 0 10.415 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 10.416 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 10.416 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 10.416 * [taylor]: Taking taylor expansion of PI in b 10.416 * [backup-simplify]: Simplify PI into PI 10.416 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.416 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.416 * [taylor]: Taking taylor expansion of a in b 10.416 * [backup-simplify]: Simplify a into a 10.416 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.416 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.416 * [taylor]: Taking taylor expansion of b in b 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (/ 1 1) into 1 10.417 * [backup-simplify]: Simplify (+ 0 1) into 1 10.418 * [backup-simplify]: Simplify (/ PI 1) into PI 10.418 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.418 * [taylor]: Taking taylor expansion of PI in a 10.418 * [backup-simplify]: Simplify PI into PI 10.418 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.418 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.418 * [taylor]: Taking taylor expansion of a in a 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.418 * [backup-simplify]: Simplify (/ 1 1) into 1 10.418 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.418 * [taylor]: Taking taylor expansion of b in a 10.418 * [backup-simplify]: Simplify b into b 10.418 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.419 * [backup-simplify]: Simplify (+ 1 0) into 1 10.419 * [backup-simplify]: Simplify (/ PI 1) into PI 10.419 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.419 * [taylor]: Taking taylor expansion of PI in a 10.419 * [backup-simplify]: Simplify PI into PI 10.419 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.419 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.419 * [taylor]: Taking taylor expansion of a in a 10.419 * [backup-simplify]: Simplify 0 into 0 10.419 * [backup-simplify]: Simplify 1 into 1 10.419 * [backup-simplify]: Simplify (/ 1 1) into 1 10.419 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.419 * [taylor]: Taking taylor expansion of b in a 10.419 * [backup-simplify]: Simplify b into b 10.419 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.420 * [backup-simplify]: Simplify (+ 1 0) into 1 10.420 * [backup-simplify]: Simplify (/ PI 1) into PI 10.420 * [taylor]: Taking taylor expansion of PI in b 10.420 * [backup-simplify]: Simplify PI into PI 10.420 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.421 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 10.421 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 10.421 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.421 * [taylor]: Taking taylor expansion of PI in b 10.421 * [backup-simplify]: Simplify PI into PI 10.421 * [taylor]: Taking taylor expansion of b in b 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.422 * [backup-simplify]: Simplify (/ PI 1) into PI 10.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.423 * [backup-simplify]: Simplify (- 0) into 0 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.424 * [backup-simplify]: Simplify (+ 0 0) into 0 10.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 10.425 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.425 * [taylor]: Taking taylor expansion of PI in b 10.425 * [backup-simplify]: Simplify PI into PI 10.425 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.425 * [taylor]: Taking taylor expansion of b in b 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.429 * [backup-simplify]: Simplify (* 1 1) into 1 10.430 * [backup-simplify]: Simplify (/ PI 1) into PI 10.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.434 * [backup-simplify]: Simplify (- 0) into 0 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 10.434 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 10.434 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 10.434 * [taylor]: Taking taylor expansion of -1 in b 10.434 * [backup-simplify]: Simplify -1 into -1 10.434 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 10.434 * [taylor]: Taking taylor expansion of PI in b 10.434 * [backup-simplify]: Simplify PI into PI 10.434 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.434 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.434 * [taylor]: Taking taylor expansion of a in b 10.434 * [backup-simplify]: Simplify a into a 10.434 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.434 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.434 * [taylor]: Taking taylor expansion of b in b 10.434 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify 1 into 1 10.435 * [backup-simplify]: Simplify (/ 1 1) into 1 10.435 * [backup-simplify]: Simplify (+ 0 1) into 1 10.435 * [backup-simplify]: Simplify (/ PI 1) into PI 10.435 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 10.435 * [taylor]: Taking taylor expansion of -1 in a 10.435 * [backup-simplify]: Simplify -1 into -1 10.435 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.435 * [taylor]: Taking taylor expansion of PI in a 10.435 * [backup-simplify]: Simplify PI into PI 10.435 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.435 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.435 * [taylor]: Taking taylor expansion of a in a 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 1 into 1 10.436 * [backup-simplify]: Simplify (/ 1 1) into 1 10.436 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.436 * [taylor]: Taking taylor expansion of b in a 10.436 * [backup-simplify]: Simplify b into b 10.436 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.436 * [backup-simplify]: Simplify (+ 1 0) into 1 10.436 * [backup-simplify]: Simplify (/ PI 1) into PI 10.436 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 10.436 * [taylor]: Taking taylor expansion of -1 in a 10.436 * [backup-simplify]: Simplify -1 into -1 10.436 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.436 * [taylor]: Taking taylor expansion of PI in a 10.436 * [backup-simplify]: Simplify PI into PI 10.436 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.437 * [taylor]: Taking taylor expansion of a in a 10.437 * [backup-simplify]: Simplify 0 into 0 10.437 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (/ 1 1) into 1 10.437 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.437 * [taylor]: Taking taylor expansion of b in a 10.437 * [backup-simplify]: Simplify b into b 10.437 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.437 * [backup-simplify]: Simplify (+ 1 0) into 1 10.437 * [backup-simplify]: Simplify (/ PI 1) into PI 10.438 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 10.438 * [taylor]: Taking taylor expansion of (* -1 PI) in b 10.438 * [taylor]: Taking taylor expansion of -1 in b 10.438 * [backup-simplify]: Simplify -1 into -1 10.438 * [taylor]: Taking taylor expansion of PI in b 10.438 * [backup-simplify]: Simplify PI into PI 10.438 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 10.438 * [backup-simplify]: Simplify 0 into 0 10.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.439 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 10.440 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 10.440 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.440 * [taylor]: Taking taylor expansion of PI in b 10.440 * [backup-simplify]: Simplify PI into PI 10.440 * [taylor]: Taking taylor expansion of b in b 10.440 * [backup-simplify]: Simplify 0 into 0 10.440 * [backup-simplify]: Simplify 1 into 1 10.440 * [backup-simplify]: Simplify (/ PI 1) into PI 10.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.441 * [backup-simplify]: Simplify 0 into 0 10.442 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 10.442 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.443 * [backup-simplify]: Simplify (+ 0 0) into 0 10.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 10.444 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 10.444 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 10.444 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.444 * [taylor]: Taking taylor expansion of PI in b 10.444 * [backup-simplify]: Simplify PI into PI 10.444 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.444 * [taylor]: Taking taylor expansion of b in b 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify 1 into 1 10.444 * [backup-simplify]: Simplify (* 1 1) into 1 10.445 * [backup-simplify]: Simplify (/ PI 1) into PI 10.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.448 * [backup-simplify]: Simplify (- 0) into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.449 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 10.450 * [backup-simplify]: Simplify (/ 1/2 (- b a)) into (/ 1/2 (- b a)) 10.450 * [approximate]: Taking taylor expansion of (/ 1/2 (- b a)) in (b a) around 0 10.450 * [taylor]: Taking taylor expansion of (/ 1/2 (- b a)) in a 10.450 * [taylor]: Taking taylor expansion of 1/2 in a 10.450 * [backup-simplify]: Simplify 1/2 into 1/2 10.450 * [taylor]: Taking taylor expansion of (- b a) in a 10.450 * [taylor]: Taking taylor expansion of b in a 10.450 * [backup-simplify]: Simplify b into b 10.450 * [taylor]: Taking taylor expansion of a in a 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify 1 into 1 10.450 * [backup-simplify]: Simplify (- 0) into 0 10.450 * [backup-simplify]: Simplify (+ b 0) into b 10.450 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 10.450 * [taylor]: Taking taylor expansion of (/ 1/2 (- b a)) in b 10.450 * [taylor]: Taking taylor expansion of 1/2 in b 10.451 * [backup-simplify]: Simplify 1/2 into 1/2 10.451 * [taylor]: Taking taylor expansion of (- b a) in b 10.451 * [taylor]: Taking taylor expansion of b in b 10.451 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify 1 into 1 10.451 * [taylor]: Taking taylor expansion of a in b 10.451 * [backup-simplify]: Simplify a into a 10.451 * [backup-simplify]: Simplify (- a) into (- a) 10.451 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.451 * [backup-simplify]: Simplify (/ 1/2 (- a)) into (/ -1/2 a) 10.451 * [taylor]: Taking taylor expansion of (/ 1/2 (- b a)) in b 10.451 * [taylor]: Taking taylor expansion of 1/2 in b 10.451 * [backup-simplify]: Simplify 1/2 into 1/2 10.451 * [taylor]: Taking taylor expansion of (- b a) in b 10.451 * [taylor]: Taking taylor expansion of b in b 10.451 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify 1 into 1 10.451 * [taylor]: Taking taylor expansion of a in b 10.451 * [backup-simplify]: Simplify a into a 10.451 * [backup-simplify]: Simplify (- a) into (- a) 10.451 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.451 * [backup-simplify]: Simplify (/ 1/2 (- a)) into (/ -1/2 a) 10.451 * [taylor]: Taking taylor expansion of (/ -1/2 a) in a 10.451 * [taylor]: Taking taylor expansion of -1/2 in a 10.451 * [backup-simplify]: Simplify -1/2 into -1/2 10.451 * [taylor]: Taking taylor expansion of a in a 10.451 * [backup-simplify]: Simplify 0 into 0 10.451 * [backup-simplify]: Simplify 1 into 1 10.451 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify (- 0) into 0 10.452 * [backup-simplify]: Simplify (+ 1 0) into 1 10.453 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 2)))) 10.453 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow a 2)))) in a 10.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow a 2))) in a 10.453 * [taylor]: Taking taylor expansion of 1/2 in a 10.453 * [backup-simplify]: Simplify 1/2 into 1/2 10.453 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 10.453 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.453 * [taylor]: Taking taylor expansion of a in a 10.453 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify 1 into 1 10.453 * [backup-simplify]: Simplify (* 1 1) into 1 10.453 * [backup-simplify]: Simplify (/ 1 1) into 1 10.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.456 * [backup-simplify]: Simplify (- 0) into 0 10.456 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.456 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify (- 0) into 0 10.457 * [backup-simplify]: Simplify (+ 0 0) into 0 10.457 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 0 (- a))) (* (- (* 1/2 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 3)))) 10.457 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow a 3)))) in a 10.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow a 3))) in a 10.457 * [taylor]: Taking taylor expansion of 1/2 in a 10.457 * [backup-simplify]: Simplify 1/2 into 1/2 10.457 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 10.457 * [taylor]: Taking taylor expansion of (pow a 3) in a 10.457 * [taylor]: Taking taylor expansion of a in a 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 1 into 1 10.458 * [backup-simplify]: Simplify (* 1 1) into 1 10.458 * [backup-simplify]: Simplify (* 1 1) into 1 10.458 * [backup-simplify]: Simplify (/ 1 1) into 1 10.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.463 * [backup-simplify]: Simplify (- 0) into 0 10.463 * [backup-simplify]: Simplify 0 into 0 10.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.465 * [backup-simplify]: Simplify (- 0) into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify (/ 1/2 (- (/ 1 b) (/ 1 a))) into (/ 1/2 (- (/ 1 b) (/ 1 a))) 10.466 * [approximate]: Taking taylor expansion of (/ 1/2 (- (/ 1 b) (/ 1 a))) in (b a) around 0 10.466 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 b) (/ 1 a))) in a 10.466 * [taylor]: Taking taylor expansion of 1/2 in a 10.466 * [backup-simplify]: Simplify 1/2 into 1/2 10.466 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.466 * [taylor]: Taking taylor expansion of b in a 10.466 * [backup-simplify]: Simplify b into b 10.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.466 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.466 * [taylor]: Taking taylor expansion of a in a 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.467 * [backup-simplify]: Simplify (/ 1 1) into 1 10.467 * [backup-simplify]: Simplify (- 1) into -1 10.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.468 * [backup-simplify]: Simplify (/ 1/2 -1) into -1/2 10.468 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 b) (/ 1 a))) in b 10.468 * [taylor]: Taking taylor expansion of 1/2 in b 10.468 * [backup-simplify]: Simplify 1/2 into 1/2 10.468 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.468 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.468 * [taylor]: Taking taylor expansion of b in b 10.468 * [backup-simplify]: Simplify 0 into 0 10.468 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (/ 1 1) into 1 10.468 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.468 * [taylor]: Taking taylor expansion of a in b 10.468 * [backup-simplify]: Simplify a into a 10.468 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.468 * [backup-simplify]: Simplify (+ 1 0) into 1 10.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.469 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 b) (/ 1 a))) in b 10.469 * [taylor]: Taking taylor expansion of 1/2 in b 10.469 * [backup-simplify]: Simplify 1/2 into 1/2 10.469 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.469 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.469 * [taylor]: Taking taylor expansion of b in b 10.469 * [backup-simplify]: Simplify 0 into 0 10.469 * [backup-simplify]: Simplify 1 into 1 10.469 * [backup-simplify]: Simplify (/ 1 1) into 1 10.469 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.469 * [taylor]: Taking taylor expansion of a in b 10.469 * [backup-simplify]: Simplify a into a 10.469 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.469 * [backup-simplify]: Simplify (+ 1 0) into 1 10.469 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.470 * [taylor]: Taking taylor expansion of 1/2 in a 10.470 * [backup-simplify]: Simplify 1/2 into 1/2 10.470 * [backup-simplify]: Simplify 0 into 0 10.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.470 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 10.470 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 10.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 a)) 10.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 10.471 * [taylor]: Taking taylor expansion of 1/2 in a 10.471 * [backup-simplify]: Simplify 1/2 into 1/2 10.471 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.471 * [taylor]: Taking taylor expansion of a in a 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [backup-simplify]: Simplify (/ 1 1) into 1 10.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.472 * [backup-simplify]: Simplify 0 into 0 10.472 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 10.473 * [backup-simplify]: Simplify (- 0) into 0 10.474 * [backup-simplify]: Simplify (+ 0 0) into 0 10.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (* 1/2 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 (pow a 2))) 10.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow a 2))) in a 10.474 * [taylor]: Taking taylor expansion of 1/2 in a 10.474 * [backup-simplify]: Simplify 1/2 into 1/2 10.474 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 10.474 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.474 * [taylor]: Taking taylor expansion of a in a 10.474 * [backup-simplify]: Simplify 0 into 0 10.474 * [backup-simplify]: Simplify 1 into 1 10.475 * [backup-simplify]: Simplify (* 1 1) into 1 10.475 * [backup-simplify]: Simplify (/ 1 1) into 1 10.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.480 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify (/ 1/2 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (- (/ 1 a) (/ 1 b))) 10.480 * [approximate]: Taking taylor expansion of (/ 1/2 (- (/ 1 a) (/ 1 b))) in (b a) around 0 10.480 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 a) (/ 1 b))) in a 10.480 * [taylor]: Taking taylor expansion of 1/2 in a 10.480 * [backup-simplify]: Simplify 1/2 into 1/2 10.480 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.480 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.480 * [taylor]: Taking taylor expansion of a in a 10.480 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify 1 into 1 10.480 * [backup-simplify]: Simplify (/ 1 1) into 1 10.480 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.480 * [taylor]: Taking taylor expansion of b in a 10.480 * [backup-simplify]: Simplify b into b 10.480 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.481 * [backup-simplify]: Simplify (+ 1 0) into 1 10.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.481 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 a) (/ 1 b))) in b 10.481 * [taylor]: Taking taylor expansion of 1/2 in b 10.481 * [backup-simplify]: Simplify 1/2 into 1/2 10.481 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.481 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.481 * [taylor]: Taking taylor expansion of a in b 10.481 * [backup-simplify]: Simplify a into a 10.481 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.481 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.481 * [taylor]: Taking taylor expansion of b in b 10.481 * [backup-simplify]: Simplify 0 into 0 10.481 * [backup-simplify]: Simplify 1 into 1 10.481 * [backup-simplify]: Simplify (/ 1 1) into 1 10.482 * [backup-simplify]: Simplify (- 1) into -1 10.482 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.482 * [backup-simplify]: Simplify (/ 1/2 -1) into -1/2 10.482 * [taylor]: Taking taylor expansion of (/ 1/2 (- (/ 1 a) (/ 1 b))) in b 10.482 * [taylor]: Taking taylor expansion of 1/2 in b 10.482 * [backup-simplify]: Simplify 1/2 into 1/2 10.482 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.482 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.482 * [taylor]: Taking taylor expansion of a in b 10.482 * [backup-simplify]: Simplify a into a 10.482 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.482 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.482 * [taylor]: Taking taylor expansion of b in b 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 1 into 1 10.483 * [backup-simplify]: Simplify (/ 1 1) into 1 10.483 * [backup-simplify]: Simplify (- 1) into -1 10.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.483 * [backup-simplify]: Simplify (/ 1/2 -1) into -1/2 10.483 * [taylor]: Taking taylor expansion of -1/2 in a 10.484 * [backup-simplify]: Simplify -1/2 into -1/2 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.484 * [backup-simplify]: Simplify (- 0) into 0 10.484 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 10.485 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 a))) 10.485 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a))) in a 10.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 10.485 * [taylor]: Taking taylor expansion of 1/2 in a 10.485 * [backup-simplify]: Simplify 1/2 into 1/2 10.485 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.485 * [taylor]: Taking taylor expansion of a in a 10.485 * [backup-simplify]: Simplify 0 into 0 10.485 * [backup-simplify]: Simplify 1 into 1 10.485 * [backup-simplify]: Simplify (/ 1 1) into 1 10.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.487 * [backup-simplify]: Simplify (- 0) into 0 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify 0 into 0 10.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.488 * [backup-simplify]: Simplify (- 0) into 0 10.488 * [backup-simplify]: Simplify (+ 0 0) into 0 10.489 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (- (* 1/2 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 (pow a 2)))) 10.489 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow a 2)))) in a 10.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow a 2))) in a 10.489 * [taylor]: Taking taylor expansion of 1/2 in a 10.489 * [backup-simplify]: Simplify 1/2 into 1/2 10.489 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 10.489 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.489 * [taylor]: Taking taylor expansion of a in a 10.489 * [backup-simplify]: Simplify 0 into 0 10.489 * [backup-simplify]: Simplify 1 into 1 10.489 * [backup-simplify]: Simplify (* 1 1) into 1 10.489 * [backup-simplify]: Simplify (/ 1 1) into 1 10.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.493 * [backup-simplify]: Simplify (- 0) into 0 10.493 * [backup-simplify]: Simplify 0 into 0 10.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (- 0) into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.495 * * * [progress]: simplifying candidates 10.495 * * * * [progress]: [ 1 / 208 ] simplifiying candidate # 10.495 * * * * [progress]: [ 2 / 208 ] simplifiying candidate # 10.495 * * * * [progress]: [ 3 / 208 ] simplifiying candidate # 10.495 * * * * [progress]: [ 4 / 208 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(- (/ 1 a) (/ 1 b)))) (* (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) (* (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))))) (cbrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (* (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (sqrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (sqrt (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))) (* PI (- (* 1 b) (* a 1))) (* (+ a b) (* a b)) (* PI (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) (* PI (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (+ a b) (+ (/ 1 a) (/ 1 b))) (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ PI (+ a b))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ 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# # # # # # #) 12.522 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 12.577 * * * [regime]: Found split indices: #