11.941 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.090 * [progress]: [Phase 2 of 3] Improving. 0.090 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.090 * * [simplify]: iteration 0: 15 enodes 0.097 * * [simplify]: iteration 1: 32 enodes 0.110 * * [simplify]: iteration 2: 94 enodes 0.159 * * [simplify]: iteration 3: 358 enodes 0.396 * * [simplify]: iteration 4: 1476 enodes 0.681 * * [simplify]: iteration 5: 2014 enodes 1.162 * * [simplify]: iteration complete: 2014 enodes 1.162 * * [simplify]: Extracting #0: cost 1 inf + 0 1.162 * * [simplify]: Extracting #1: cost 110 inf + 0 1.165 * * [simplify]: Extracting #2: cost 499 inf + 3 1.172 * * [simplify]: Extracting #3: cost 529 inf + 12590 1.213 * * [simplify]: Extracting #4: cost 140 inf + 82657 1.242 * * [simplify]: Extracting #5: cost 0 inf + 111158 1.279 * * [simplify]: Extracting #6: cost 0 inf + 111002 1.310 * [simplify]: Simplified to: (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b))) 1.322 * * [progress]: iteration 1 / 4 1.322 * * * [progress]: picking best candidate 1.333 * * * * [pick]: Picked # 1.333 * * * [progress]: localizing error 1.372 * * * [progress]: generating rewritten candidates 1.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.478 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.536 * * * [progress]: generating series expansions 1.536 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.537 * [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)))) 1.537 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 1.537 * [taylor]: Taking taylor expansion of 1/2 in b 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 1.537 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 1.537 * [taylor]: Taking taylor expansion of PI in b 1.537 * [backup-simplify]: Simplify PI into PI 1.537 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.537 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.537 * [taylor]: Taking taylor expansion of a in b 1.537 * [backup-simplify]: Simplify a into a 1.537 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.537 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.537 * [taylor]: Taking taylor expansion of b in b 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.537 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.537 * [taylor]: Taking taylor expansion of (+ a b) in b 1.537 * [taylor]: Taking taylor expansion of a in b 1.537 * [backup-simplify]: Simplify a into a 1.537 * [taylor]: Taking taylor expansion of b in b 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of (- b a) in b 1.537 * [taylor]: Taking taylor expansion of b in b 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of a in b 1.538 * [backup-simplify]: Simplify a into a 1.538 * [backup-simplify]: Simplify (- 1) into -1 1.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.538 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 1.538 * [backup-simplify]: Simplify (+ a 0) into a 1.538 * [backup-simplify]: Simplify (- a) into (- a) 1.539 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.539 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.539 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 1.539 * [taylor]: Taking taylor expansion of 1/2 in a 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 1.539 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 1.539 * [taylor]: Taking taylor expansion of PI in a 1.539 * [backup-simplify]: Simplify PI into PI 1.539 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.539 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.539 * [taylor]: Taking taylor expansion of a in a 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.540 * [taylor]: Taking taylor expansion of b in a 1.540 * [backup-simplify]: Simplify b into b 1.540 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.540 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.540 * [taylor]: Taking taylor expansion of (+ a b) in a 1.540 * [taylor]: Taking taylor expansion of a in a 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of b in a 1.540 * [backup-simplify]: Simplify b into b 1.540 * [taylor]: Taking taylor expansion of (- b a) in a 1.540 * [taylor]: Taking taylor expansion of b in a 1.540 * [backup-simplify]: Simplify b into b 1.540 * [taylor]: Taking taylor expansion of a in a 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (+ 1 0) into 1 1.541 * [backup-simplify]: Simplify (* PI 1) into PI 1.541 * [backup-simplify]: Simplify (+ 0 b) into b 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.542 * [backup-simplify]: Simplify (+ b 0) into b 1.542 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.542 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 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 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 1.542 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 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)) 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 1.543 * [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) 1.543 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.543 * [taylor]: Taking taylor expansion of (+ a b) 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 * [taylor]: Taking taylor expansion of b in a 1.543 * [backup-simplify]: Simplify b into b 1.543 * [taylor]: Taking taylor expansion of (- b a) in a 1.543 * [taylor]: Taking taylor expansion of b in a 1.543 * [backup-simplify]: Simplify b into b 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 1.544 * [backup-simplify]: Simplify (+ 1 0) into 1 1.544 * [backup-simplify]: Simplify (* PI 1) into PI 1.544 * [backup-simplify]: Simplify (+ 0 b) into b 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (+ b 0) into b 1.545 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.545 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.545 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 1.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.545 * [taylor]: Taking taylor expansion of 1/2 in b 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.545 * [taylor]: Taking taylor expansion of PI in b 1.545 * [backup-simplify]: Simplify PI into PI 1.545 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.545 * [taylor]: Taking taylor expansion of b in b 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ PI 1) into PI 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.550 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.550 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 1.551 * [backup-simplify]: Simplify (- 1) into -1 1.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.552 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 1.553 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 1.553 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 1.553 * [taylor]: Taking taylor expansion of 1/2 in b 1.553 * [backup-simplify]: Simplify 1/2 into 1/2 1.553 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.553 * [taylor]: Taking taylor expansion of PI in b 1.553 * [backup-simplify]: Simplify PI into PI 1.553 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.553 * [taylor]: Taking taylor expansion of b in b 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ PI 1) into PI 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.566 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.570 * [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)) 1.570 * [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))) 1.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 1.570 * [taylor]: Taking taylor expansion of 1/2 in b 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 1.570 * [taylor]: Taking taylor expansion of PI in b 1.570 * [backup-simplify]: Simplify PI into PI 1.570 * [taylor]: Taking taylor expansion of (pow b 4) in b 1.570 * [taylor]: Taking taylor expansion of b in b 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (* 1 1) into 1 1.572 * [backup-simplify]: Simplify (/ PI 1) into PI 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.590 * [backup-simplify]: Simplify (- 0) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [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))))) 1.594 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.594 * [taylor]: Taking taylor expansion of 1/2 in b 1.594 * [backup-simplify]: Simplify 1/2 into 1/2 1.594 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.594 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 1.594 * [taylor]: Taking taylor expansion of (- a b) in b 1.594 * [taylor]: Taking taylor expansion of a in b 1.594 * [backup-simplify]: Simplify a into a 1.594 * [taylor]: Taking taylor expansion of b in b 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [taylor]: Taking taylor expansion of PI in b 1.595 * [backup-simplify]: Simplify PI into PI 1.595 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.595 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.595 * [taylor]: Taking taylor expansion of a in b 1.595 * [backup-simplify]: Simplify a into a 1.595 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.595 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.595 * [taylor]: Taking taylor expansion of b in b 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.595 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.595 * [taylor]: Taking taylor expansion of b in b 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.596 * [taylor]: Taking taylor expansion of a in b 1.596 * [backup-simplify]: Simplify a into a 1.596 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ a 0) into a 1.597 * [backup-simplify]: Simplify (* a PI) into (* a PI) 1.597 * [backup-simplify]: Simplify (+ 0 1) into 1 1.597 * [backup-simplify]: Simplify (+ 1 0) into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 1.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.598 * [taylor]: Taking taylor expansion of 1/2 in a 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.598 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 1.598 * [taylor]: Taking taylor expansion of (- a b) in a 1.598 * [taylor]: Taking taylor expansion of a in a 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of b in a 1.598 * [backup-simplify]: Simplify b into b 1.598 * [taylor]: Taking taylor expansion of PI in a 1.598 * [backup-simplify]: Simplify PI into PI 1.598 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.598 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.598 * [taylor]: Taking taylor expansion of a in a 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.599 * [taylor]: Taking taylor expansion of b in a 1.599 * [backup-simplify]: Simplify b into b 1.599 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.599 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.599 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.599 * [taylor]: Taking taylor expansion of b in a 1.599 * [backup-simplify]: Simplify b into b 1.599 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.599 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.599 * [taylor]: Taking taylor expansion of a in a 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [backup-simplify]: Simplify (- b) into (- b) 1.600 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.600 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 1.601 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.602 * [backup-simplify]: Simplify (* 1 -1) into -1 1.602 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.602 * [taylor]: Taking taylor expansion of 1/2 in a 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.602 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 1.602 * [taylor]: Taking taylor expansion of (- a b) in a 1.602 * [taylor]: Taking taylor expansion of a in a 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [taylor]: Taking taylor expansion of b in a 1.602 * [backup-simplify]: Simplify b into b 1.602 * [taylor]: Taking taylor expansion of PI in a 1.602 * [backup-simplify]: Simplify PI into PI 1.602 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.602 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.602 * [taylor]: Taking taylor expansion of a in a 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (/ 1 1) into 1 1.603 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.603 * [taylor]: Taking taylor expansion of b in a 1.603 * [backup-simplify]: Simplify b into b 1.603 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.603 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.603 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.603 * [taylor]: Taking taylor expansion of b in a 1.603 * [backup-simplify]: Simplify b into b 1.603 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.603 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.603 * [taylor]: Taking taylor expansion of a in a 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.604 * [backup-simplify]: Simplify (- b) into (- b) 1.604 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.604 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 1.604 * [backup-simplify]: Simplify (+ 1 0) into 1 1.605 * [backup-simplify]: Simplify (- 1) into -1 1.605 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.605 * [backup-simplify]: Simplify (* 1 -1) into -1 1.605 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 1.606 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 1.606 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 1.606 * [taylor]: Taking taylor expansion of 1/2 in b 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of (* b PI) in b 1.606 * [taylor]: Taking taylor expansion of b in b 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of PI in b 1.606 * [backup-simplify]: Simplify PI into PI 1.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.609 * [backup-simplify]: Simplify (* 0 PI) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.611 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.614 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.614 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 1.616 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 1.616 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 1.616 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 1.616 * [taylor]: Taking taylor expansion of 1/2 in b 1.616 * [backup-simplify]: Simplify 1/2 into 1/2 1.616 * [taylor]: Taking taylor expansion of PI in b 1.616 * [backup-simplify]: Simplify PI into PI 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.627 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 1.628 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.628 * [taylor]: Taking taylor expansion of 1/2 in b 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.628 * [taylor]: Taking taylor expansion of PI in b 1.628 * [backup-simplify]: Simplify PI into PI 1.628 * [taylor]: Taking taylor expansion of b in b 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ PI 1) into PI 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 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)))) (* 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))))) 1.638 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.638 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.638 * [taylor]: Taking taylor expansion of -1/2 in b 1.638 * [backup-simplify]: Simplify -1/2 into -1/2 1.638 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.638 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 1.638 * [taylor]: Taking taylor expansion of (- b a) 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 * [taylor]: Taking taylor expansion of a in b 1.639 * [backup-simplify]: Simplify a into a 1.639 * [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)) (- (/ 1 a) (/ 1 b))) in b 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 1.639 * [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 1.640 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.640 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.640 * [taylor]: Taking taylor expansion of b in b 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (- a) into (- a) 1.640 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.640 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 1.641 * [backup-simplify]: Simplify (+ 0 1) into 1 1.641 * [backup-simplify]: Simplify (- 1) into -1 1.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.642 * [backup-simplify]: Simplify (* 1 -1) into -1 1.642 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 1.642 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.642 * [taylor]: Taking taylor expansion of -1/2 in a 1.642 * [backup-simplify]: Simplify -1/2 into -1/2 1.642 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.642 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 1.642 * [taylor]: Taking taylor expansion of (- b a) in a 1.642 * [taylor]: Taking taylor expansion of b in a 1.642 * [backup-simplify]: Simplify b into b 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 1.642 * [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)) (- (/ 1 a) (/ 1 b))) in a 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.643 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.643 * [taylor]: Taking taylor expansion of a in a 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.643 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.643 * [taylor]: Taking taylor expansion of a in a 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.644 * [taylor]: Taking taylor expansion of b in a 1.644 * [backup-simplify]: Simplify b into b 1.644 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify (+ b 0) into b 1.644 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.645 * [backup-simplify]: Simplify (+ 1 0) into 1 1.645 * [backup-simplify]: Simplify (+ 1 0) into 1 1.646 * [backup-simplify]: Simplify (* 1 1) into 1 1.646 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.646 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.646 * [taylor]: Taking taylor expansion of -1/2 in a 1.646 * [backup-simplify]: Simplify -1/2 into -1/2 1.646 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.646 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 1.646 * [taylor]: Taking taylor expansion of (- b a) in a 1.646 * [taylor]: Taking taylor expansion of b in a 1.646 * [backup-simplify]: Simplify b into b 1.646 * [taylor]: Taking taylor expansion of a in a 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of PI in a 1.646 * [backup-simplify]: Simplify PI into PI 1.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.646 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.646 * [taylor]: Taking taylor expansion of a in a 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.647 * [taylor]: Taking taylor expansion of b in a 1.647 * [backup-simplify]: Simplify b into b 1.647 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.647 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.647 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.647 * [taylor]: Taking taylor expansion of a in a 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.647 * [taylor]: Taking taylor expansion of b in a 1.647 * [backup-simplify]: Simplify b into b 1.647 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify (+ b 0) into b 1.648 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.648 * [backup-simplify]: Simplify (+ 1 0) into 1 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.649 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 1.649 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 1.649 * [taylor]: Taking taylor expansion of -1/2 in b 1.649 * [backup-simplify]: Simplify -1/2 into -1/2 1.649 * [taylor]: Taking taylor expansion of (* PI b) in b 1.649 * [taylor]: Taking taylor expansion of PI in b 1.649 * [backup-simplify]: Simplify PI into PI 1.649 * [taylor]: Taking taylor expansion of b in b 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.652 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.653 * [backup-simplify]: Simplify (* PI 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (- 1) into -1 1.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.655 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.656 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.657 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.659 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 1.660 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 1.660 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 1.660 * [taylor]: Taking taylor expansion of 1/2 in b 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of PI in b 1.660 * [backup-simplify]: Simplify PI into PI 1.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 1.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 1.669 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 1.669 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 1.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) 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 b) 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 b in b 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (/ PI 1) into PI 1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.677 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.677 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.677 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.677 * [taylor]: Taking taylor expansion of PI in b 1.677 * [backup-simplify]: Simplify PI into PI 1.677 * [taylor]: Taking taylor expansion of (+ a b) in b 1.677 * [taylor]: Taking taylor expansion of a in b 1.677 * [backup-simplify]: Simplify a into a 1.677 * [taylor]: Taking taylor expansion of b in b 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (+ a 0) into a 1.677 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.677 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.677 * [taylor]: Taking taylor expansion of PI in a 1.678 * [backup-simplify]: Simplify PI into PI 1.678 * [taylor]: Taking taylor expansion of (+ a b) in a 1.678 * [taylor]: Taking taylor expansion of a in a 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of b in a 1.678 * [backup-simplify]: Simplify b into b 1.678 * [backup-simplify]: Simplify (+ 0 b) into b 1.678 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.678 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.678 * [taylor]: Taking taylor expansion of PI in a 1.678 * [backup-simplify]: Simplify PI into PI 1.678 * [taylor]: Taking taylor expansion of (+ a b) in a 1.678 * [taylor]: Taking taylor expansion of a in a 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of b in a 1.678 * [backup-simplify]: Simplify b into b 1.678 * [backup-simplify]: Simplify (+ 0 b) into b 1.678 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.678 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.678 * [taylor]: Taking taylor expansion of PI in b 1.678 * [backup-simplify]: Simplify PI into PI 1.678 * [taylor]: Taking taylor expansion of b in b 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ PI 1) into PI 1.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (+ 1 0) into 1 1.681 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.681 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.681 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.681 * [taylor]: Taking taylor expansion of PI in b 1.681 * [backup-simplify]: Simplify PI into PI 1.681 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.681 * [taylor]: Taking taylor expansion of b in b 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ PI 1) into PI 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.688 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.689 * [taylor]: Taking taylor expansion of PI in b 1.689 * [backup-simplify]: Simplify PI into PI 1.689 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.689 * [taylor]: Taking taylor expansion of b in b 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ PI 1) into PI 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 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 1.698 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.702 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.702 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.702 * [taylor]: Taking taylor expansion of PI in b 1.702 * [backup-simplify]: Simplify PI into PI 1.702 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.702 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.702 * [taylor]: Taking taylor expansion of a in b 1.702 * [backup-simplify]: Simplify a into a 1.702 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.702 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.702 * [taylor]: Taking taylor expansion of b in b 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (+ 0 1) into 1 1.704 * [backup-simplify]: Simplify (/ PI 1) into PI 1.704 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.704 * [taylor]: Taking taylor expansion of PI in a 1.704 * [backup-simplify]: Simplify PI into PI 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.704 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.704 * [taylor]: Taking taylor expansion of a in a 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ 1 1) into 1 1.704 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.704 * [taylor]: Taking taylor expansion of b in a 1.704 * [backup-simplify]: Simplify b into b 1.704 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.705 * [backup-simplify]: Simplify (+ 1 0) into 1 1.705 * [backup-simplify]: Simplify (/ PI 1) into PI 1.705 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.705 * [taylor]: Taking taylor expansion of PI in a 1.705 * [backup-simplify]: Simplify PI into PI 1.705 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.705 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.705 * [taylor]: Taking taylor expansion of a in a 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.706 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.706 * [taylor]: Taking taylor expansion of b in a 1.706 * [backup-simplify]: Simplify b into b 1.706 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.706 * [backup-simplify]: Simplify (+ 1 0) into 1 1.707 * [backup-simplify]: Simplify (/ PI 1) into PI 1.707 * [taylor]: Taking taylor expansion of PI in b 1.707 * [backup-simplify]: Simplify PI into PI 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.708 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.708 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.708 * [taylor]: Taking taylor expansion of PI in b 1.708 * [backup-simplify]: Simplify PI into PI 1.708 * [taylor]: Taking taylor expansion of b in b 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (/ PI 1) into PI 1.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.715 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.715 * [taylor]: Taking taylor expansion of PI in b 1.715 * [backup-simplify]: Simplify PI into PI 1.715 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.715 * [taylor]: Taking taylor expansion of b in b 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ PI 1) into PI 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.724 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.724 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.724 * [taylor]: Taking taylor expansion of -1 in b 1.724 * [backup-simplify]: Simplify -1 into -1 1.724 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.724 * [taylor]: Taking taylor expansion of PI in b 1.724 * [backup-simplify]: Simplify PI into PI 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.724 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.724 * [taylor]: Taking taylor expansion of a in b 1.724 * [backup-simplify]: Simplify a into a 1.724 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.724 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.724 * [taylor]: Taking taylor expansion of b in b 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [backup-simplify]: Simplify (+ 0 1) into 1 1.726 * [backup-simplify]: Simplify (/ PI 1) into PI 1.726 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.726 * [taylor]: Taking taylor expansion of -1 in a 1.726 * [backup-simplify]: Simplify -1 into -1 1.726 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.726 * [taylor]: Taking taylor expansion of PI in a 1.726 * [backup-simplify]: Simplify PI into PI 1.726 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.726 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.726 * [taylor]: Taking taylor expansion of a in a 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.726 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.726 * [taylor]: Taking taylor expansion of b in a 1.726 * [backup-simplify]: Simplify b into b 1.726 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.727 * [backup-simplify]: Simplify (+ 1 0) into 1 1.727 * [backup-simplify]: Simplify (/ PI 1) into PI 1.727 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.727 * [taylor]: Taking taylor expansion of -1 in a 1.727 * [backup-simplify]: Simplify -1 into -1 1.727 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.727 * [taylor]: Taking taylor expansion of PI in a 1.727 * [backup-simplify]: Simplify PI into PI 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.727 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.727 * [taylor]: Taking taylor expansion of a in a 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (/ 1 1) into 1 1.728 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.728 * [taylor]: Taking taylor expansion of b in a 1.728 * [backup-simplify]: Simplify b into b 1.728 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.728 * [backup-simplify]: Simplify (+ 1 0) into 1 1.729 * [backup-simplify]: Simplify (/ PI 1) into PI 1.729 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.729 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.730 * [taylor]: Taking taylor expansion of -1 in b 1.730 * [backup-simplify]: Simplify -1 into -1 1.730 * [taylor]: Taking taylor expansion of PI in b 1.730 * [backup-simplify]: Simplify PI into PI 1.730 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.735 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.735 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.735 * [taylor]: Taking taylor expansion of PI in b 1.735 * [backup-simplify]: Simplify PI into PI 1.735 * [taylor]: Taking taylor expansion of b in b 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ PI 1) into PI 1.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.742 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.742 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.742 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.742 * [taylor]: Taking taylor expansion of PI in b 1.742 * [backup-simplify]: Simplify PI into PI 1.742 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.742 * [taylor]: Taking taylor expansion of b in b 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (* 1 1) into 1 1.743 * [backup-simplify]: Simplify (/ PI 1) into PI 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.752 * [backup-simplify]: Simplify (/ (/ PI (+ a b)) (* 2 (- b a))) into (* 1/2 (/ PI (* (+ a b) (- b a)))) 1.752 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in (a b) around 0 1.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in b 1.752 * [taylor]: Taking taylor expansion of 1/2 in b 1.752 * [backup-simplify]: Simplify 1/2 into 1/2 1.752 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in b 1.752 * [taylor]: Taking taylor expansion of PI in b 1.752 * [backup-simplify]: Simplify PI into PI 1.752 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.752 * [taylor]: Taking taylor expansion of (+ a b) in b 1.752 * [taylor]: Taking taylor expansion of a in b 1.752 * [backup-simplify]: Simplify a into a 1.752 * [taylor]: Taking taylor expansion of b in b 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of (- b a) in b 1.752 * [taylor]: Taking taylor expansion of b in b 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [taylor]: Taking taylor expansion of a in b 1.752 * [backup-simplify]: Simplify a into a 1.752 * [backup-simplify]: Simplify (+ a 0) into a 1.752 * [backup-simplify]: Simplify (- a) into (- a) 1.752 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.752 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.753 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 1.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in a 1.753 * [taylor]: Taking taylor expansion of 1/2 in a 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 1.753 * [taylor]: Taking taylor expansion of PI in a 1.753 * [backup-simplify]: Simplify PI into PI 1.753 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.753 * [taylor]: Taking taylor expansion of (+ a b) in a 1.753 * [taylor]: Taking taylor expansion of a in a 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of b in a 1.753 * [backup-simplify]: Simplify b into b 1.753 * [taylor]: Taking taylor expansion of (- b a) in a 1.753 * [taylor]: Taking taylor expansion of b in a 1.753 * [backup-simplify]: Simplify b into b 1.753 * [taylor]: Taking taylor expansion of a in a 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (+ 0 b) into b 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ b 0) into b 1.754 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.754 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) (- b a)))) in a 1.754 * [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 (* (+ a b) (- b a))) 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 (* (+ a b) (- b a)) in a 1.754 * [taylor]: Taking taylor expansion of (+ a b) 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 * [taylor]: Taking taylor expansion of b in a 1.754 * [backup-simplify]: Simplify b into b 1.754 * [taylor]: Taking taylor expansion of (- b a) in a 1.754 * [taylor]: Taking taylor expansion of b in a 1.754 * [backup-simplify]: Simplify b into b 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 (+ 0 b) into b 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ b 0) into b 1.755 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.755 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.755 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 1.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.755 * [taylor]: Taking taylor expansion of 1/2 in b 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.755 * [taylor]: Taking taylor expansion of PI in b 1.755 * [backup-simplify]: Simplify PI into PI 1.755 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.755 * [taylor]: Taking taylor expansion of b in b 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ PI 1) into PI 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- 1) into -1 1.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.762 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 1.762 * [taylor]: Taking taylor expansion of 0 in b 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.768 * [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)) 1.769 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 1.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 1.769 * [taylor]: Taking taylor expansion of 1/2 in b 1.769 * [backup-simplify]: Simplify 1/2 into 1/2 1.769 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 1.769 * [taylor]: Taking taylor expansion of PI in b 1.769 * [backup-simplify]: Simplify PI into PI 1.769 * [taylor]: Taking taylor expansion of (pow b 4) in b 1.769 * [taylor]: Taking taylor expansion of b in b 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.770 * [backup-simplify]: Simplify (* 1 1) into 1 1.770 * [backup-simplify]: Simplify (/ PI 1) into PI 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.776 * [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 1.780 * [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 1.782 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [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))))) 1.784 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.784 * [taylor]: Taking taylor expansion of 1/2 in b 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.784 * [taylor]: Taking taylor expansion of PI in b 1.785 * [backup-simplify]: Simplify PI into PI 1.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.785 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.785 * [taylor]: Taking taylor expansion of a in b 1.785 * [backup-simplify]: Simplify a into a 1.785 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 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 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) 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 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.785 * [taylor]: Taking taylor expansion of a in b 1.785 * [backup-simplify]: Simplify a into a 1.785 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.786 * [backup-simplify]: Simplify (+ 0 1) into 1 1.786 * [backup-simplify]: Simplify (+ 1 0) into 1 1.786 * [backup-simplify]: Simplify (* 1 1) into 1 1.786 * [backup-simplify]: Simplify (/ PI 1) into PI 1.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.786 * [taylor]: Taking taylor expansion of 1/2 in a 1.786 * [backup-simplify]: Simplify 1/2 into 1/2 1.787 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.787 * [taylor]: Taking taylor expansion of PI in a 1.787 * [backup-simplify]: Simplify PI into PI 1.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.787 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.787 * [taylor]: Taking taylor expansion of a in a 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.787 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.787 * [taylor]: Taking taylor expansion of b in a 1.787 * [backup-simplify]: Simplify b into b 1.787 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.787 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.787 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.787 * [taylor]: Taking taylor expansion of b in a 1.787 * [backup-simplify]: Simplify b into b 1.787 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.787 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.787 * [taylor]: Taking taylor expansion of a in a 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (- 1) into -1 1.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.788 * [backup-simplify]: Simplify (* 1 -1) into -1 1.789 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.789 * [taylor]: Taking taylor expansion of 1/2 in a 1.789 * [backup-simplify]: Simplify 1/2 into 1/2 1.789 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.789 * [taylor]: Taking taylor expansion of PI in a 1.789 * [backup-simplify]: Simplify PI into PI 1.789 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.789 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.789 * [taylor]: Taking taylor expansion of a in a 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.789 * [taylor]: Taking taylor expansion of b in a 1.789 * [backup-simplify]: Simplify b into b 1.789 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.789 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.789 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.789 * [taylor]: Taking taylor expansion of b in a 1.789 * [backup-simplify]: Simplify b into b 1.789 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.789 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.789 * [taylor]: Taking taylor expansion of a in a 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [backup-simplify]: Simplify (+ 1 0) into 1 1.790 * [backup-simplify]: Simplify (- 1) into -1 1.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.791 * [backup-simplify]: Simplify (* 1 -1) into -1 1.791 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.792 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 1.792 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 1.792 * [taylor]: Taking taylor expansion of -1/2 in b 1.792 * [backup-simplify]: Simplify -1/2 into -1/2 1.792 * [taylor]: Taking taylor expansion of PI in b 1.792 * [backup-simplify]: Simplify PI into PI 1.793 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.794 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) 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 1.796 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.799 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 1.800 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 1.800 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.800 * [taylor]: Taking taylor expansion of 1/2 in b 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.800 * [taylor]: Taking taylor expansion of PI in b 1.800 * [backup-simplify]: Simplify PI into PI 1.800 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.800 * [taylor]: Taking taylor expansion of b in b 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (/ PI 1) into PI 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [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))))) 1.808 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.808 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.808 * [taylor]: Taking taylor expansion of -1/2 in b 1.808 * [backup-simplify]: Simplify -1/2 into -1/2 1.808 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.808 * [taylor]: Taking taylor expansion of PI in b 1.808 * [backup-simplify]: Simplify PI into PI 1.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.808 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.808 * [taylor]: Taking taylor expansion of a in b 1.808 * [backup-simplify]: Simplify a into a 1.808 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.808 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.808 * [taylor]: Taking taylor expansion of b in b 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.808 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.808 * [taylor]: Taking taylor expansion of a in b 1.808 * [backup-simplify]: Simplify a into a 1.808 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.808 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.808 * [taylor]: Taking taylor expansion of b in b 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [backup-simplify]: Simplify (+ 0 1) into 1 1.809 * [backup-simplify]: Simplify (- 1) into -1 1.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.809 * [backup-simplify]: Simplify (* 1 -1) into -1 1.810 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.810 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.810 * [taylor]: Taking taylor expansion of -1/2 in a 1.810 * [backup-simplify]: Simplify -1/2 into -1/2 1.810 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.810 * [taylor]: Taking taylor expansion of PI in a 1.810 * [backup-simplify]: Simplify PI into PI 1.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.810 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.810 * [taylor]: Taking taylor expansion of a in a 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (/ 1 1) into 1 1.810 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.810 * [taylor]: Taking taylor expansion of b in a 1.810 * [backup-simplify]: Simplify b into b 1.810 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.810 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.810 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.810 * [taylor]: Taking taylor expansion of a in a 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.811 * [taylor]: Taking taylor expansion of b in a 1.811 * [backup-simplify]: Simplify b into b 1.811 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.811 * [backup-simplify]: Simplify (+ 1 0) into 1 1.811 * [backup-simplify]: Simplify (+ 1 0) into 1 1.811 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (/ PI 1) into PI 1.812 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.812 * [taylor]: Taking taylor expansion of -1/2 in a 1.812 * [backup-simplify]: Simplify -1/2 into -1/2 1.812 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.812 * [taylor]: Taking taylor expansion of PI in a 1.812 * [backup-simplify]: Simplify PI into PI 1.812 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.812 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.812 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.812 * [taylor]: Taking taylor expansion of a in a 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.812 * [taylor]: Taking taylor expansion of b in a 1.812 * [backup-simplify]: Simplify b into b 1.812 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.812 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.812 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.812 * [taylor]: Taking taylor expansion of a in a 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.813 * [taylor]: Taking taylor expansion of b in a 1.813 * [backup-simplify]: Simplify b into b 1.813 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.813 * [backup-simplify]: Simplify (+ 1 0) into 1 1.813 * [backup-simplify]: Simplify (+ 1 0) into 1 1.813 * [backup-simplify]: Simplify (* 1 1) into 1 1.814 * [backup-simplify]: Simplify (/ PI 1) into PI 1.814 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 1.814 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 1.814 * [taylor]: Taking taylor expansion of -1/2 in b 1.814 * [backup-simplify]: Simplify -1/2 into -1/2 1.814 * [taylor]: Taking taylor expansion of PI in b 1.814 * [backup-simplify]: Simplify PI into PI 1.815 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.815 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.816 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 1.817 * [taylor]: Taking taylor expansion of 0 in b 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 1.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 1.824 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 1.824 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.824 * [taylor]: Taking taylor expansion of 1/2 in b 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.824 * [taylor]: Taking taylor expansion of PI in b 1.824 * [backup-simplify]: Simplify PI into PI 1.824 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.824 * [taylor]: Taking taylor expansion of b in b 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ PI 1) into PI 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.836 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 1.836 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 1.836 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.836 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.836 * [taylor]: Taking taylor expansion of a in b 1.836 * [backup-simplify]: Simplify a into a 1.836 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.836 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.836 * [taylor]: Taking taylor expansion of b in b 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.837 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.837 * [taylor]: Taking taylor expansion of a in a 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.837 * [taylor]: Taking taylor expansion of b in a 1.837 * [backup-simplify]: Simplify b into b 1.837 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.837 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.837 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.837 * [taylor]: Taking taylor expansion of a in a 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.837 * [taylor]: Taking taylor expansion of b in a 1.838 * [backup-simplify]: Simplify b into b 1.838 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.838 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [taylor]: Taking taylor expansion of 1 in b 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.838 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.838 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 1.838 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.839 * [taylor]: Taking taylor expansion of b in b 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [taylor]: Taking taylor expansion of 0 in b 1.840 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [taylor]: Taking taylor expansion of 0 in b 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [taylor]: Taking taylor expansion of 0 in b 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 1.845 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 1.845 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 1.845 * [taylor]: Taking taylor expansion of (- a b) in b 1.845 * [taylor]: Taking taylor expansion of a in b 1.845 * [backup-simplify]: Simplify a into a 1.845 * [taylor]: Taking taylor expansion of b in b 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (- a b) in a 1.845 * [taylor]: Taking taylor expansion of a in a 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of b in a 1.845 * [backup-simplify]: Simplify b into b 1.845 * [taylor]: Taking taylor expansion of (- a b) in a 1.845 * [taylor]: Taking taylor expansion of a in a 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of b in a 1.845 * [backup-simplify]: Simplify b into b 1.845 * [backup-simplify]: Simplify (- b) into (- b) 1.845 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 1.845 * [taylor]: Taking taylor expansion of (- b) in b 1.845 * [taylor]: Taking taylor expansion of b in b 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ 1 0) into 1 1.848 * [taylor]: Taking taylor expansion of 1 in b 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (- 1) into -1 1.848 * [backup-simplify]: Simplify -1 into -1 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [taylor]: Taking taylor expansion of 0 in b 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (- 0) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [taylor]: Taking taylor expansion of 0 in b 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 1.850 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 1.850 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 1.850 * [taylor]: Taking taylor expansion of (- b a) in b 1.850 * [taylor]: Taking taylor expansion of b in b 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of a in b 1.850 * [backup-simplify]: Simplify a into a 1.850 * [taylor]: Taking taylor expansion of (- b a) in a 1.850 * [taylor]: Taking taylor expansion of b in a 1.850 * [backup-simplify]: Simplify b into b 1.850 * [taylor]: Taking taylor expansion of a in a 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of (- b a) in a 1.850 * [taylor]: Taking taylor expansion of b in a 1.850 * [backup-simplify]: Simplify b into b 1.850 * [taylor]: Taking taylor expansion of a in a 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ b 0) into b 1.851 * [taylor]: Taking taylor expansion of b in b 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (- 1) into -1 1.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.851 * [taylor]: Taking taylor expansion of -1 in b 1.852 * [backup-simplify]: Simplify -1 into -1 1.852 * [backup-simplify]: Simplify -1 into -1 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [taylor]: Taking taylor expansion of 0 in b 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [taylor]: Taking taylor expansion of 0 in b 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 1.853 * * * [progress]: simplifying candidates 1.853 * * * * [progress]: [ 1 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 2 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 3 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 4 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 5 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 6 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 7 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 8 / 210 ] simplifiying candidate # 1.853 * * * * [progress]: [ 9 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 10 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 11 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 12 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 13 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 14 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 15 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 16 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 17 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 18 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 19 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 20 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 21 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 22 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 23 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 24 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 25 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 26 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 27 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 28 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 29 / 210 ] simplifiying candidate # 1.854 * * * * [progress]: [ 30 / 210 ] simplifiying candidate # 1.855 * * * * [progress]: [ 31 / 210 ] simplifiying candidate # 1.855 * * * * [progress]: [ 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1.855 * * * * [progress]: [ 48 / 210 ] simplifiying candidate # 1.855 * * * * [progress]: [ 49 / 210 ] simplifiying candidate # 1.855 * * * * [progress]: [ 50 / 210 ] simplifiying candidate # 1.855 * * * * [progress]: [ 51 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 52 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 53 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 54 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 55 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 56 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 57 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 58 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 59 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 60 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 61 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 62 / 210 ] simplifiying candidate # 1.856 * * * * [progress]: [ 63 / 210 ] 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1.857 * * * * [progress]: [ 78 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 79 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 80 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 81 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 82 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 83 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 84 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 85 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 86 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 87 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 88 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 89 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 90 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 91 / 210 ] simplifiying candidate # 1.857 * * * * [progress]: [ 92 / 210 ] simplifiying candidate # 1.857 * * * * [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))))> 1.858 * * * * [progress]: [ 110 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 111 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 112 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 113 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 114 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 115 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 116 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 117 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 118 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 119 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 120 / 210 ] simplifiying candidate # 1.858 * * * * [progress]: [ 121 / 210 ] simplifiying candidate # 1.859 * * * * [progress]: [ 122 / 210 ] simplifiying candidate # 1.859 * * * * 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1.860 * * * * [progress]: [ 154 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 155 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 156 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 157 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 158 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 159 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 160 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 161 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 162 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 163 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 164 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 165 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 166 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 167 / 210 ] simplifiying candidate # 1.860 * * * * [progress]: [ 168 / 210 ] simplifiying candidate #real (real->posit16 (/ (/ PI (+ a b)) (* 2 (- b a))))) (- (/ 1 a) (/ 1 b))))> 1.861 * * * * [progress]: [ 169 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 170 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 171 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 172 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 173 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 174 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 175 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 176 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 177 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 178 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 179 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 180 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 181 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 182 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 183 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 184 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 185 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 186 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 187 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 188 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 189 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 190 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 191 / 210 ] simplifiying candidate # 1.861 * * * * [progress]: [ 192 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 193 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 194 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 195 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 196 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 197 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 198 / 210 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b))))))> 1.862 * * * * [progress]: [ 199 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 200 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 201 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 202 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 203 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 204 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 205 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 206 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 207 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 208 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 209 / 210 ] simplifiying candidate # 1.862 * * * * [progress]: [ 210 / 210 ] simplifiying candidate # 1.864 * [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 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) (* (/ PI (+ a b)) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (* (* 2 (- b a)) (+ (/ 1 a) (/ 1 b))) (* (sqrt (/ (/ PI (+ a b)) (* 2 (- b a)))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ (/ PI (+ a b)) (* 2 (- b a)))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (/ 1 a)) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 b))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (/ 1 a)) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 b))) (* (/ 1 a) (/ (/ PI (+ a b)) (* 2 (- b a)))) (* (- (/ 1 b)) (/ (/ PI (+ a b)) (* 2 (- b a)))) (* (/ 1 a) (/ (/ PI (+ a b)) (* 2 (- b a)))) (* (- (/ 1 b)) (/ (/ PI (+ a b)) (* 2 (- b a)))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) 1) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (/ (/ PI (+ a b)) (* 2 (- b a))) (+ (sqrt (/ 1 a)) (/ (sqrt 1) 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(cbrt (/ PI (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (sqrt (/ PI (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (cbrt PI) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (cbrt PI) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (cbrt PI) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (cbrt PI) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (sqrt PI) (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (sqrt PI) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ (sqrt PI) (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI (cbrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI (sqrt (+ a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ PI (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (/ 1 (+ a b)) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) (- (/ 1 a) (/ 1 b))) (* (/ (- 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 2.863 * * [simplify]: Extracting #7: cost 0 inf + 224004 2.931 * [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)) 2.955 * * * [progress]: adding candidates to table 5.130 * * [progress]: iteration 2 / 4 5.130 * * * [progress]: picking best candidate 5.173 * * * * [pick]: Picked # 5.173 * * * [progress]: localizing error 5.202 * * * [progress]: generating rewritten candidates 5.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.296 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.327 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 5.341 * * * [progress]: generating series expansions 5.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.341 * [backup-simplify]: Simplify (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) into (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) 5.341 * [approximate]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in (a b) around 0 5.341 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in b 5.341 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 5.341 * [taylor]: Taking taylor expansion of PI in b 5.341 * [backup-simplify]: Simplify PI into PI 5.341 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.342 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.342 * [taylor]: Taking taylor expansion of a in b 5.342 * [backup-simplify]: Simplify a into a 5.342 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.342 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.342 * [taylor]: Taking taylor expansion of b in b 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [taylor]: Taking taylor expansion of (+ a b) in b 5.342 * [taylor]: Taking taylor expansion of a in b 5.342 * [backup-simplify]: Simplify a into a 5.342 * [taylor]: Taking taylor expansion of b in b 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (- 1) into -1 5.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.343 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 5.343 * [backup-simplify]: Simplify (+ a 0) into a 5.344 * [backup-simplify]: Simplify (/ (* -1 PI) a) into (* -1 (/ PI a)) 5.344 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 5.344 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 5.344 * [taylor]: Taking taylor expansion of PI in a 5.344 * [backup-simplify]: Simplify PI into PI 5.344 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.344 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.344 * [taylor]: Taking taylor expansion of a in a 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [backup-simplify]: Simplify (/ 1 1) into 1 5.344 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.344 * [taylor]: Taking taylor expansion of b in a 5.344 * [backup-simplify]: Simplify b into b 5.344 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.344 * [taylor]: Taking taylor expansion of (+ a b) in a 5.344 * [taylor]: Taking taylor expansion of a in a 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [taylor]: Taking taylor expansion of b in a 5.344 * [backup-simplify]: Simplify b into b 5.344 * [backup-simplify]: Simplify (+ 1 0) into 1 5.345 * [backup-simplify]: Simplify (* PI 1) into PI 5.345 * [backup-simplify]: Simplify (+ 0 b) into b 5.345 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.345 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 5.345 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 5.345 * [taylor]: Taking taylor expansion of PI in a 5.345 * [backup-simplify]: Simplify PI into PI 5.345 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.345 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.345 * [taylor]: Taking taylor expansion of a in a 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.345 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.345 * [taylor]: Taking taylor expansion of b in a 5.345 * [backup-simplify]: Simplify b into b 5.345 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.345 * [taylor]: Taking taylor expansion of (+ a b) in a 5.345 * [taylor]: Taking taylor expansion of a in a 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [taylor]: Taking taylor expansion of b in a 5.345 * [backup-simplify]: Simplify b into b 5.348 * [backup-simplify]: Simplify (+ 1 0) into 1 5.349 * [backup-simplify]: Simplify (* PI 1) into PI 5.349 * [backup-simplify]: Simplify (+ 0 b) into b 5.349 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.349 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.349 * [taylor]: Taking taylor expansion of PI in b 5.349 * [backup-simplify]: Simplify PI into PI 5.349 * [taylor]: Taking taylor expansion of b in b 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (/ PI 1) into PI 5.349 * [backup-simplify]: Simplify PI into PI 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.350 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.350 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.350 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 5.350 * [backup-simplify]: Simplify (+ 1 0) into 1 5.351 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 5.351 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 5.351 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 5.351 * [taylor]: Taking taylor expansion of 2 in b 5.351 * [backup-simplify]: Simplify 2 into 2 5.351 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.351 * [taylor]: Taking taylor expansion of PI in b 5.351 * [backup-simplify]: Simplify PI into PI 5.351 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.351 * [taylor]: Taking taylor expansion of b in b 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (* 1 1) into 1 5.351 * [backup-simplify]: Simplify (/ PI 1) into PI 5.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 5.353 * [backup-simplify]: Simplify (- 0) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.354 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 5.356 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 5.356 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 5.356 * [taylor]: Taking taylor expansion of 2 in b 5.356 * [backup-simplify]: Simplify 2 into 2 5.356 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 5.356 * [taylor]: Taking taylor expansion of PI in b 5.356 * [backup-simplify]: Simplify PI into PI 5.356 * [taylor]: Taking taylor expansion of (pow b 3) in b 5.356 * [taylor]: Taking taylor expansion of b in b 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 1 into 1 5.356 * [backup-simplify]: Simplify (* 1 1) into 1 5.356 * [backup-simplify]: Simplify (* 1 1) into 1 5.357 * [backup-simplify]: Simplify (/ PI 1) into PI 5.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.362 * [backup-simplify]: Simplify (- 0) into 0 5.362 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 5.364 * [backup-simplify]: Simplify (- 0) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.365 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.366 * [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)))) 5.366 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 5.366 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 5.366 * [taylor]: Taking taylor expansion of 2 in b 5.366 * [backup-simplify]: Simplify 2 into 2 5.366 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 5.366 * [taylor]: Taking taylor expansion of PI in b 5.366 * [backup-simplify]: Simplify PI into PI 5.366 * [taylor]: Taking taylor expansion of (pow b 4) in b 5.366 * [taylor]: Taking taylor expansion of b in b 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify 1 into 1 5.366 * [backup-simplify]: Simplify (* 1 1) into 1 5.366 * [backup-simplify]: Simplify (* 1 1) into 1 5.367 * [backup-simplify]: Simplify (/ PI 1) into PI 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.373 * [backup-simplify]: Simplify (- 0) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 5.373 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 a) (/ 1 b))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) 5.373 * [approximate]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 5.373 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in b 5.373 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 5.373 * [taylor]: Taking taylor expansion of (- a b) in b 5.373 * [taylor]: Taking taylor expansion of a in b 5.373 * [backup-simplify]: Simplify a into a 5.373 * [taylor]: Taking taylor expansion of b in b 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [taylor]: Taking taylor expansion of PI in b 5.373 * [backup-simplify]: Simplify PI into PI 5.373 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.373 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.373 * [taylor]: Taking taylor expansion of a in b 5.373 * [backup-simplify]: Simplify a into a 5.373 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.373 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.373 * [taylor]: Taking taylor expansion of b in b 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.374 * [backup-simplify]: Simplify (/ 1 1) into 1 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.374 * [backup-simplify]: Simplify (+ a 0) into a 5.374 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.374 * [backup-simplify]: Simplify (+ 0 1) into 1 5.374 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 5.374 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 5.374 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 5.374 * [taylor]: Taking taylor expansion of (- a b) in a 5.374 * [taylor]: Taking taylor expansion of a in a 5.374 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [taylor]: Taking taylor expansion of b in a 5.374 * [backup-simplify]: Simplify b into b 5.374 * [taylor]: Taking taylor expansion of PI in a 5.374 * [backup-simplify]: Simplify PI into PI 5.374 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.374 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.374 * [taylor]: Taking taylor expansion of a in a 5.374 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ 1 1) into 1 5.375 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.375 * [taylor]: Taking taylor expansion of b in a 5.375 * [backup-simplify]: Simplify b into b 5.375 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.375 * [backup-simplify]: Simplify (- b) into (- b) 5.375 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 5.375 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 5.375 * [backup-simplify]: Simplify (+ 1 0) into 1 5.375 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 5.375 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 5.375 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 5.375 * [taylor]: Taking taylor expansion of (- a b) in a 5.375 * [taylor]: Taking taylor expansion of a in a 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [taylor]: Taking taylor expansion of b in a 5.375 * [backup-simplify]: Simplify b into b 5.375 * [taylor]: Taking taylor expansion of PI in a 5.375 * [backup-simplify]: Simplify PI into PI 5.375 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.375 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.376 * [taylor]: Taking taylor expansion of a in a 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.376 * [taylor]: Taking taylor expansion of b in a 5.376 * [backup-simplify]: Simplify b into b 5.376 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.376 * [backup-simplify]: Simplify (- b) into (- b) 5.376 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 5.376 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 5.376 * [backup-simplify]: Simplify (+ 1 0) into 1 5.376 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 5.376 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 5.376 * [taylor]: Taking taylor expansion of -1 in b 5.376 * [backup-simplify]: Simplify -1 into -1 5.376 * [taylor]: Taking taylor expansion of (* b PI) in b 5.376 * [taylor]: Taking taylor expansion of b in b 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [taylor]: Taking taylor expansion of PI in b 5.377 * [backup-simplify]: Simplify PI into PI 5.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.378 * [backup-simplify]: Simplify (* 0 PI) into 0 5.379 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 5.379 * [backup-simplify]: Simplify (- PI) into (- PI) 5.379 * [backup-simplify]: Simplify (- 0) into 0 5.380 * [backup-simplify]: Simplify (+ 1 0) into 1 5.380 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 5.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.381 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 5.381 * [taylor]: Taking taylor expansion of (* 2 PI) in b 5.381 * [taylor]: Taking taylor expansion of 2 in b 5.381 * [backup-simplify]: Simplify 2 into 2 5.381 * [taylor]: Taking taylor expansion of PI in b 5.381 * [backup-simplify]: Simplify PI into PI 5.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.383 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 5.383 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify (- 0) into 0 5.383 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 5.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 5.386 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 5.386 * [taylor]: Taking taylor expansion of 2 in b 5.386 * [backup-simplify]: Simplify 2 into 2 5.386 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.386 * [taylor]: Taking taylor expansion of PI in b 5.386 * [backup-simplify]: Simplify PI into PI 5.386 * [taylor]: Taking taylor expansion of b in b 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ PI 1) into PI 5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.389 * [backup-simplify]: Simplify (- 0) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (- 0) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [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))) 5.394 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 5.394 * [taylor]: Taking taylor expansion of 2 in b 5.394 * [backup-simplify]: Simplify 2 into 2 5.394 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.394 * [taylor]: Taking taylor expansion of PI in b 5.394 * [backup-simplify]: Simplify PI into PI 5.394 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.394 * [taylor]: Taking taylor expansion of b in b 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (* 1 1) into 1 5.395 * [backup-simplify]: Simplify (/ PI 1) into PI 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 5.399 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) 5.399 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 5.399 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in b 5.399 * [taylor]: Taking taylor expansion of -1 in b 5.399 * [backup-simplify]: Simplify -1 into -1 5.399 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in b 5.399 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 5.399 * [taylor]: Taking taylor expansion of (- b a) in b 5.399 * [taylor]: Taking taylor expansion of b in b 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify 1 into 1 5.399 * [taylor]: Taking taylor expansion of a in b 5.399 * [backup-simplify]: Simplify a into a 5.399 * [taylor]: Taking taylor expansion of PI in b 5.399 * [backup-simplify]: Simplify PI into PI 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.399 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.400 * [taylor]: Taking taylor expansion of a in b 5.400 * [backup-simplify]: Simplify a into a 5.400 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.400 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.400 * [taylor]: Taking taylor expansion of b in b 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [backup-simplify]: Simplify (- a) into (- a) 5.400 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.400 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 5.400 * [backup-simplify]: Simplify (+ 0 1) into 1 5.400 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) 1) into (* -1 (* a PI)) 5.400 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 5.400 * [taylor]: Taking taylor expansion of -1 in a 5.400 * [backup-simplify]: Simplify -1 into -1 5.400 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 5.400 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 5.400 * [taylor]: Taking taylor expansion of (- b a) in a 5.400 * [taylor]: Taking taylor expansion of b in a 5.400 * [backup-simplify]: Simplify b into b 5.400 * [taylor]: Taking taylor expansion of a in a 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.401 * [taylor]: Taking taylor expansion of PI in a 5.401 * [backup-simplify]: Simplify PI into PI 5.401 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.401 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.401 * [taylor]: Taking taylor expansion of a in a 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 1 into 1 5.401 * [backup-simplify]: Simplify (/ 1 1) into 1 5.401 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.401 * [taylor]: Taking taylor expansion of b in a 5.401 * [backup-simplify]: Simplify b into b 5.401 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.401 * [backup-simplify]: Simplify (- 0) into 0 5.401 * [backup-simplify]: Simplify (+ b 0) into b 5.401 * [backup-simplify]: Simplify (* b PI) into (* PI b) 5.402 * [backup-simplify]: Simplify (+ 1 0) into 1 5.402 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 5.402 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 5.402 * [taylor]: Taking taylor expansion of -1 in a 5.402 * [backup-simplify]: Simplify -1 into -1 5.402 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 5.402 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 5.402 * [taylor]: Taking taylor expansion of (- b a) in a 5.402 * [taylor]: Taking taylor expansion of b in a 5.402 * [backup-simplify]: Simplify b into b 5.402 * [taylor]: Taking taylor expansion of a in a 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of PI in a 5.402 * [backup-simplify]: Simplify PI into PI 5.402 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.402 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.402 * [taylor]: Taking taylor expansion of a in a 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (/ 1 1) into 1 5.402 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.402 * [taylor]: Taking taylor expansion of b in a 5.402 * [backup-simplify]: Simplify b into b 5.402 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.402 * [backup-simplify]: Simplify (- 0) into 0 5.402 * [backup-simplify]: Simplify (+ b 0) into b 5.403 * [backup-simplify]: Simplify (* b PI) into (* PI b) 5.403 * [backup-simplify]: Simplify (+ 1 0) into 1 5.403 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 5.403 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 5.403 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 5.403 * [taylor]: Taking taylor expansion of -1 in b 5.403 * [backup-simplify]: Simplify -1 into -1 5.403 * [taylor]: Taking taylor expansion of (* PI b) in b 5.403 * [taylor]: Taking taylor expansion of PI in b 5.403 * [backup-simplify]: Simplify PI into PI 5.403 * [taylor]: Taking taylor expansion of b in b 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 5.404 * [backup-simplify]: Simplify (* PI 0) into 0 5.405 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 5.406 * [backup-simplify]: Simplify (- PI) into (- PI) 5.406 * [backup-simplify]: Simplify (- 1) into -1 5.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.406 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.408 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 5.409 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 5.409 * [taylor]: Taking taylor expansion of (* 2 PI) in b 5.409 * [taylor]: Taking taylor expansion of 2 in b 5.409 * [backup-simplify]: Simplify 2 into 2 5.409 * [taylor]: Taking taylor expansion of PI in b 5.409 * [backup-simplify]: Simplify PI into PI 5.409 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 5.411 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify (- 0) into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.412 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 5.414 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 5.414 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 5.414 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 5.414 * [taylor]: Taking taylor expansion of 2 in b 5.414 * [backup-simplify]: Simplify 2 into 2 5.414 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.414 * [taylor]: Taking taylor expansion of PI in b 5.414 * [backup-simplify]: Simplify PI into PI 5.414 * [taylor]: Taking taylor expansion of b in b 5.414 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ PI 1) into PI 5.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.417 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 5.418 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (- 0) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.421 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [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)))) 5.427 * [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))) 5.427 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 5.427 * [taylor]: Taking taylor expansion of 2 in b 5.427 * [backup-simplify]: Simplify 2 into 2 5.427 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.427 * [taylor]: Taking taylor expansion of PI in b 5.427 * [backup-simplify]: Simplify PI into PI 5.427 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.427 * [taylor]: Taking taylor expansion of b in b 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (* 1 1) into 1 5.428 * [backup-simplify]: Simplify (/ PI 1) into PI 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 5.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.436 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 5.436 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 5.436 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 5.436 * [taylor]: Taking taylor expansion of PI in b 5.436 * [backup-simplify]: Simplify PI into PI 5.436 * [taylor]: Taking taylor expansion of (+ a b) in b 5.436 * [taylor]: Taking taylor expansion of a in b 5.436 * [backup-simplify]: Simplify a into a 5.436 * [taylor]: Taking taylor expansion of b in b 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (+ a 0) into a 5.436 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.436 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 5.436 * [taylor]: Taking taylor expansion of PI in a 5.436 * [backup-simplify]: Simplify PI into PI 5.436 * [taylor]: Taking taylor expansion of (+ a b) in a 5.436 * [taylor]: Taking taylor expansion of a in a 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of b in a 5.436 * [backup-simplify]: Simplify b into b 5.436 * [backup-simplify]: Simplify (+ 0 b) into b 5.436 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.436 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 5.436 * [taylor]: Taking taylor expansion of PI in a 5.436 * [backup-simplify]: Simplify PI into PI 5.436 * [taylor]: Taking taylor expansion of (+ a b) in a 5.436 * [taylor]: Taking taylor expansion of a in a 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [taylor]: Taking taylor expansion of b in a 5.437 * [backup-simplify]: Simplify b into b 5.437 * [backup-simplify]: Simplify (+ 0 b) into b 5.437 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.437 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.437 * [taylor]: Taking taylor expansion of PI in b 5.437 * [backup-simplify]: Simplify PI into PI 5.437 * [taylor]: Taking taylor expansion of b in b 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ PI 1) into PI 5.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.438 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify (+ 1 0) into 1 5.439 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 5.439 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 5.439 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.439 * [taylor]: Taking taylor expansion of PI in b 5.439 * [backup-simplify]: Simplify PI into PI 5.439 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.439 * [taylor]: Taking taylor expansion of b in b 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (* 1 1) into 1 5.440 * [backup-simplify]: Simplify (/ PI 1) into PI 5.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (- 0) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (+ 0 0) into 0 5.446 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 5.446 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 5.447 * [taylor]: Taking taylor expansion of PI in b 5.447 * [backup-simplify]: Simplify PI into PI 5.447 * [taylor]: Taking taylor expansion of (pow b 3) in b 5.447 * [taylor]: Taking taylor expansion of b in b 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.453 * [backup-simplify]: Simplify (* 1 1) into 1 5.454 * [backup-simplify]: Simplify (/ PI 1) into PI 5.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (- 0) into 0 5.465 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 5.466 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 5.466 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 5.466 * [taylor]: Taking taylor expansion of PI in b 5.466 * [backup-simplify]: Simplify PI into PI 5.466 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.466 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.466 * [taylor]: Taking taylor expansion of a in b 5.466 * [backup-simplify]: Simplify a into a 5.467 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.467 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.467 * [taylor]: Taking taylor expansion of b in b 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [backup-simplify]: Simplify (+ 0 1) into 1 5.468 * [backup-simplify]: Simplify (/ PI 1) into PI 5.468 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.468 * [taylor]: Taking taylor expansion of PI in a 5.468 * [backup-simplify]: Simplify PI into PI 5.468 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.468 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.468 * [taylor]: Taking taylor expansion of a in a 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.469 * [taylor]: Taking taylor expansion of b in a 5.469 * [backup-simplify]: Simplify b into b 5.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.469 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [backup-simplify]: Simplify (/ PI 1) into PI 5.470 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.470 * [taylor]: Taking taylor expansion of PI in a 5.470 * [backup-simplify]: Simplify PI into PI 5.470 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.470 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.470 * [taylor]: Taking taylor expansion of a in a 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.470 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.470 * [taylor]: Taking taylor expansion of b in a 5.470 * [backup-simplify]: Simplify b into b 5.470 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.471 * [backup-simplify]: Simplify (+ 1 0) into 1 5.471 * [backup-simplify]: Simplify (/ PI 1) into PI 5.471 * [taylor]: Taking taylor expansion of PI in b 5.471 * [backup-simplify]: Simplify PI into PI 5.471 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 5.473 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 5.473 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.473 * [taylor]: Taking taylor expansion of PI in b 5.473 * [backup-simplify]: Simplify PI into PI 5.473 * [taylor]: Taking taylor expansion of b in b 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (/ PI 1) into PI 5.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 5.479 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.479 * [taylor]: Taking taylor expansion of PI in b 5.479 * [backup-simplify]: Simplify PI into PI 5.479 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.479 * [taylor]: Taking taylor expansion of b in b 5.479 * [backup-simplify]: Simplify 0 into 0 5.479 * [backup-simplify]: Simplify 1 into 1 5.480 * [backup-simplify]: Simplify (* 1 1) into 1 5.480 * [backup-simplify]: Simplify (/ PI 1) into PI 5.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.488 * [backup-simplify]: Simplify (- 0) into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 5.488 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 5.488 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 5.488 * [taylor]: Taking taylor expansion of -1 in b 5.488 * [backup-simplify]: Simplify -1 into -1 5.488 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 5.489 * [taylor]: Taking taylor expansion of PI in b 5.489 * [backup-simplify]: Simplify PI into PI 5.489 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.489 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.489 * [taylor]: Taking taylor expansion of a in b 5.489 * [backup-simplify]: Simplify a into a 5.489 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.489 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.489 * [taylor]: Taking taylor expansion of b in b 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [backup-simplify]: Simplify (+ 0 1) into 1 5.490 * [backup-simplify]: Simplify (/ PI 1) into PI 5.490 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.490 * [taylor]: Taking taylor expansion of -1 in a 5.490 * [backup-simplify]: Simplify -1 into -1 5.490 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.490 * [taylor]: Taking taylor expansion of PI in a 5.490 * [backup-simplify]: Simplify PI into PI 5.490 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.490 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.490 * [taylor]: Taking taylor expansion of a in a 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.491 * [taylor]: Taking taylor expansion of b in a 5.491 * [backup-simplify]: Simplify b into b 5.491 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.491 * [backup-simplify]: Simplify (+ 1 0) into 1 5.492 * [backup-simplify]: Simplify (/ PI 1) into PI 5.492 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.492 * [taylor]: Taking taylor expansion of -1 in a 5.492 * [backup-simplify]: Simplify -1 into -1 5.492 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.492 * [taylor]: Taking taylor expansion of PI in a 5.492 * [backup-simplify]: Simplify PI into PI 5.492 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.492 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.492 * [taylor]: Taking taylor expansion of a in a 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.493 * [taylor]: Taking taylor expansion of b in a 5.493 * [backup-simplify]: Simplify b into b 5.493 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.493 * [backup-simplify]: Simplify (+ 1 0) into 1 5.494 * [backup-simplify]: Simplify (/ PI 1) into PI 5.494 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 5.494 * [taylor]: Taking taylor expansion of (* -1 PI) in b 5.494 * [taylor]: Taking taylor expansion of -1 in b 5.494 * [backup-simplify]: Simplify -1 into -1 5.495 * [taylor]: Taking taylor expansion of PI in b 5.495 * [backup-simplify]: Simplify PI into PI 5.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.497 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 5.498 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 5.498 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.498 * [taylor]: Taking taylor expansion of PI in b 5.498 * [backup-simplify]: Simplify PI into PI 5.498 * [taylor]: Taking taylor expansion of b in b 5.498 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify 1 into 1 5.498 * [backup-simplify]: Simplify (/ PI 1) into PI 5.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 5.501 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.503 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 5.504 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 5.504 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 5.504 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.504 * [taylor]: Taking taylor expansion of PI in b 5.504 * [backup-simplify]: Simplify PI into PI 5.504 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.504 * [taylor]: Taking taylor expansion of b in b 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.505 * [backup-simplify]: Simplify (* 1 1) into 1 5.505 * [backup-simplify]: Simplify (/ PI 1) into PI 5.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.508 * [backup-simplify]: Simplify (- 0) into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.510 * [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)))) 5.510 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (a b) around 0 5.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 5.510 * [taylor]: Taking taylor expansion of 1/2 in b 5.510 * [backup-simplify]: Simplify 1/2 into 1/2 5.510 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 5.510 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 5.510 * [taylor]: Taking taylor expansion of PI in b 5.510 * [backup-simplify]: Simplify PI into PI 5.510 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.510 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.510 * [taylor]: Taking taylor expansion of a in b 5.510 * [backup-simplify]: Simplify a into a 5.510 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.510 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.510 * [taylor]: Taking taylor expansion of b in b 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.511 * [backup-simplify]: Simplify (/ 1 1) into 1 5.511 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 5.511 * [taylor]: Taking taylor expansion of (+ a b) in b 5.511 * [taylor]: Taking taylor expansion of a in b 5.511 * [backup-simplify]: Simplify a into a 5.511 * [taylor]: Taking taylor expansion of b in b 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of (- b a) in b 5.511 * [taylor]: Taking taylor expansion of b in b 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of a in b 5.511 * [backup-simplify]: Simplify a into a 5.511 * [backup-simplify]: Simplify (- 1) into -1 5.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.512 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 5.512 * [backup-simplify]: Simplify (+ a 0) into a 5.512 * [backup-simplify]: Simplify (- a) into (- a) 5.512 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.512 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 5.512 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 5.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 5.512 * [taylor]: Taking taylor expansion of 1/2 in a 5.512 * [backup-simplify]: Simplify 1/2 into 1/2 5.512 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 5.512 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 5.512 * [taylor]: Taking taylor expansion of PI in a 5.512 * [backup-simplify]: Simplify PI into PI 5.512 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.512 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.512 * [taylor]: Taking taylor expansion of a in a 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (/ 1 1) into 1 5.513 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.513 * [taylor]: Taking taylor expansion of b in a 5.513 * [backup-simplify]: Simplify b into b 5.513 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.513 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.513 * [taylor]: Taking taylor expansion of (+ a b) in a 5.513 * [taylor]: Taking taylor expansion of a in a 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [taylor]: Taking taylor expansion of b in a 5.513 * [backup-simplify]: Simplify b into b 5.513 * [taylor]: Taking taylor expansion of (- b a) in a 5.513 * [taylor]: Taking taylor expansion of b in a 5.513 * [backup-simplify]: Simplify b into b 5.513 * [taylor]: Taking taylor expansion of a in a 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (+ 1 0) into 1 5.513 * [backup-simplify]: Simplify (* PI 1) into PI 5.513 * [backup-simplify]: Simplify (+ 0 b) into b 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ b 0) into b 5.514 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.514 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 5.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 5.514 * [taylor]: Taking taylor expansion of 1/2 in a 5.514 * [backup-simplify]: Simplify 1/2 into 1/2 5.514 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 5.514 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 5.514 * [taylor]: Taking taylor expansion of PI in a 5.514 * [backup-simplify]: Simplify PI into PI 5.514 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.514 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.514 * [taylor]: Taking taylor expansion of a in a 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 1 into 1 5.514 * [backup-simplify]: Simplify (/ 1 1) into 1 5.514 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.514 * [taylor]: Taking taylor expansion of b in a 5.514 * [backup-simplify]: Simplify b into b 5.514 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.514 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.514 * [taylor]: Taking taylor expansion of (+ a b) in a 5.514 * [taylor]: Taking taylor expansion of a in a 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 1 into 1 5.514 * [taylor]: Taking taylor expansion of b in a 5.514 * [backup-simplify]: Simplify b into b 5.514 * [taylor]: Taking taylor expansion of (- b a) in a 5.514 * [taylor]: Taking taylor expansion of b in a 5.515 * [backup-simplify]: Simplify b into b 5.515 * [taylor]: Taking taylor expansion of a in a 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 1 into 1 5.515 * [backup-simplify]: Simplify (+ 1 0) into 1 5.515 * [backup-simplify]: Simplify (* PI 1) into PI 5.515 * [backup-simplify]: Simplify (+ 0 b) into b 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify (+ b 0) into b 5.515 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.516 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 5.516 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 5.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 5.516 * [taylor]: Taking taylor expansion of 1/2 in b 5.516 * [backup-simplify]: Simplify 1/2 into 1/2 5.516 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.516 * [taylor]: Taking taylor expansion of PI in b 5.516 * [backup-simplify]: Simplify PI into PI 5.516 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.516 * [taylor]: Taking taylor expansion of b in b 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.516 * [backup-simplify]: Simplify (* 1 1) into 1 5.516 * [backup-simplify]: Simplify (/ PI 1) into PI 5.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.519 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 5.519 * [backup-simplify]: Simplify (- 1) into -1 5.519 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.519 * [backup-simplify]: Simplify (+ 1 0) into 1 5.519 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 5.520 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 5.520 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 5.520 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 5.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 5.520 * [taylor]: Taking taylor expansion of 1/2 in b 5.520 * [backup-simplify]: Simplify 1/2 into 1/2 5.520 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 5.520 * [taylor]: Taking taylor expansion of PI in b 5.520 * [backup-simplify]: Simplify PI into PI 5.520 * [taylor]: Taking taylor expansion of (pow b 3) in b 5.520 * [taylor]: Taking taylor expansion of b in b 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (* 1 1) into 1 5.520 * [backup-simplify]: Simplify (* 1 1) into 1 5.521 * [backup-simplify]: Simplify (/ PI 1) into PI 5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.525 * [backup-simplify]: Simplify (- 0) into 0 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.526 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.527 * [backup-simplify]: Simplify (- 0) into 0 5.527 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 5.528 * [backup-simplify]: Simplify (- 0) into 0 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 5.529 * [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)) 5.530 * [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))) 5.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 5.530 * [taylor]: Taking taylor expansion of 1/2 in b 5.530 * [backup-simplify]: Simplify 1/2 into 1/2 5.530 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 5.530 * [taylor]: Taking taylor expansion of PI in b 5.530 * [backup-simplify]: Simplify PI into PI 5.530 * [taylor]: Taking taylor expansion of (pow b 4) in b 5.530 * [taylor]: Taking taylor expansion of b in b 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (* 1 1) into 1 5.530 * [backup-simplify]: Simplify (* 1 1) into 1 5.531 * [backup-simplify]: Simplify (/ PI 1) into PI 5.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.537 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.542 * [backup-simplify]: Simplify (- 0) into 0 5.542 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.547 * [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))))) 5.547 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 5.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 5.547 * [taylor]: Taking taylor expansion of 1/2 in b 5.547 * [backup-simplify]: Simplify 1/2 into 1/2 5.547 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 5.547 * [taylor]: Taking taylor expansion of (* PI (- a b)) in b 5.547 * [taylor]: Taking taylor expansion of PI in b 5.547 * [backup-simplify]: Simplify PI into PI 5.547 * [taylor]: Taking taylor expansion of (- a b) in b 5.547 * [taylor]: Taking taylor expansion of a in b 5.547 * [backup-simplify]: Simplify a into a 5.547 * [taylor]: Taking taylor expansion of b in b 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.547 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.547 * [taylor]: Taking taylor expansion of a in b 5.547 * [backup-simplify]: Simplify a into a 5.547 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.547 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.547 * [taylor]: Taking taylor expansion of b in b 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.548 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.548 * [taylor]: Taking taylor expansion of b in b 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 1 into 1 5.548 * [backup-simplify]: Simplify (/ 1 1) into 1 5.548 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.548 * [taylor]: Taking taylor expansion of a in b 5.548 * [backup-simplify]: Simplify a into a 5.549 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.549 * [backup-simplify]: Simplify (- 0) into 0 5.549 * [backup-simplify]: Simplify (+ a 0) into a 5.549 * [backup-simplify]: Simplify (* PI a) into (* a PI) 5.550 * [backup-simplify]: Simplify (+ 0 1) into 1 5.550 * [backup-simplify]: Simplify (+ 1 0) into 1 5.550 * [backup-simplify]: Simplify (* 1 1) into 1 5.550 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 5.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.550 * [taylor]: Taking taylor expansion of 1/2 in a 5.551 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.551 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 5.551 * [taylor]: Taking taylor expansion of PI in a 5.551 * [backup-simplify]: Simplify PI into PI 5.551 * [taylor]: Taking taylor expansion of (- a b) in a 5.551 * [taylor]: Taking taylor expansion of a in a 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 1 into 1 5.551 * [taylor]: Taking taylor expansion of b in a 5.551 * [backup-simplify]: Simplify b into b 5.551 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.551 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.551 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.551 * [taylor]: Taking taylor expansion of a in a 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 1 into 1 5.551 * [backup-simplify]: Simplify (/ 1 1) into 1 5.551 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.551 * [taylor]: Taking taylor expansion of b in a 5.551 * [backup-simplify]: Simplify b into b 5.552 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.552 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.552 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.552 * [taylor]: Taking taylor expansion of b in a 5.552 * [backup-simplify]: Simplify b into b 5.552 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.552 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.552 * [taylor]: Taking taylor expansion of a in a 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [backup-simplify]: Simplify (- b) into (- b) 5.552 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 5.552 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 5.553 * [backup-simplify]: Simplify (+ 1 0) into 1 5.553 * [backup-simplify]: Simplify (- 1) into -1 5.554 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.554 * [backup-simplify]: Simplify (* 1 -1) into -1 5.554 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 5.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.554 * [taylor]: Taking taylor expansion of 1/2 in a 5.554 * [backup-simplify]: Simplify 1/2 into 1/2 5.554 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.554 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 5.554 * [taylor]: Taking taylor expansion of PI in a 5.554 * [backup-simplify]: Simplify PI into PI 5.554 * [taylor]: Taking taylor expansion of (- a b) in a 5.555 * [taylor]: Taking taylor expansion of a in a 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [taylor]: Taking taylor expansion of b in a 5.555 * [backup-simplify]: Simplify b into b 5.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.555 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.555 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.555 * [taylor]: Taking taylor expansion of a in a 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.555 * [taylor]: Taking taylor expansion of b in a 5.555 * [backup-simplify]: Simplify b into b 5.555 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.555 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.555 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.555 * [taylor]: Taking taylor expansion of b in a 5.555 * [backup-simplify]: Simplify b into b 5.556 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.556 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.556 * [taylor]: Taking taylor expansion of a in a 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify (/ 1 1) into 1 5.556 * [backup-simplify]: Simplify (- b) into (- b) 5.556 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 5.556 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 5.557 * [backup-simplify]: Simplify (+ 1 0) into 1 5.557 * [backup-simplify]: Simplify (- 1) into -1 5.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.558 * [backup-simplify]: Simplify (* 1 -1) into -1 5.558 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 5.558 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 5.558 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 5.558 * [taylor]: Taking taylor expansion of 1/2 in b 5.558 * [backup-simplify]: Simplify 1/2 into 1/2 5.558 * [taylor]: Taking taylor expansion of (* PI b) in b 5.558 * [taylor]: Taking taylor expansion of PI in b 5.558 * [backup-simplify]: Simplify PI into PI 5.558 * [taylor]: Taking taylor expansion of b in b 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.560 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 5.561 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 5.562 * [backup-simplify]: Simplify (* PI 0) into 0 5.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.563 * [backup-simplify]: Simplify 0 into 0 5.563 * [backup-simplify]: Simplify (- 0) into 0 5.564 * [backup-simplify]: Simplify (+ 1 0) into 1 5.564 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 (- b))) into PI 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.566 * [backup-simplify]: Simplify (- 0) into 0 5.566 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.567 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 5.568 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* PI b) (/ 0 -1)))) into (- PI) 5.569 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 5.569 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 5.569 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.569 * [taylor]: Taking taylor expansion of 1/2 in b 5.569 * [backup-simplify]: Simplify 1/2 into 1/2 5.569 * [taylor]: Taking taylor expansion of PI in b 5.569 * [backup-simplify]: Simplify PI into PI 5.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.575 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 (- b)))) into 0 5.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (- 0) into 0 5.577 * [backup-simplify]: Simplify (+ 0 0) into 0 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 5.586 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* PI b) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 5.587 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 5.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 5.587 * [taylor]: Taking taylor expansion of 1/2 in b 5.587 * [backup-simplify]: Simplify 1/2 into 1/2 5.587 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.587 * [taylor]: Taking taylor expansion of PI in b 5.588 * [backup-simplify]: Simplify PI into PI 5.588 * [taylor]: Taking taylor expansion of b in b 5.588 * [backup-simplify]: Simplify 0 into 0 5.588 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (/ PI 1) into PI 5.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.593 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.595 * [backup-simplify]: Simplify (- 0) into 0 5.595 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.597 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [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))))) 5.598 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 5.598 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 5.598 * [taylor]: Taking taylor expansion of -1/2 in b 5.598 * [backup-simplify]: Simplify -1/2 into -1/2 5.598 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 5.598 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 5.598 * [taylor]: Taking taylor expansion of (- b a) in b 5.598 * [taylor]: Taking taylor expansion of b in b 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [taylor]: Taking taylor expansion of a in b 5.599 * [backup-simplify]: Simplify a into a 5.599 * [taylor]: Taking taylor expansion of PI in b 5.599 * [backup-simplify]: Simplify PI into PI 5.599 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 5.599 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.599 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.599 * [taylor]: Taking taylor expansion of a in b 5.599 * [backup-simplify]: Simplify a into a 5.599 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.599 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.599 * [taylor]: Taking taylor expansion of b in b 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.599 * [backup-simplify]: Simplify (/ 1 1) into 1 5.599 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.599 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.599 * [taylor]: Taking taylor expansion of a in b 5.599 * [backup-simplify]: Simplify a into a 5.600 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.600 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.600 * [taylor]: Taking taylor expansion of b in b 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (/ 1 1) into 1 5.600 * [backup-simplify]: Simplify (- a) into (- a) 5.600 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.600 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 5.601 * [backup-simplify]: Simplify (+ 0 1) into 1 5.601 * [backup-simplify]: Simplify (- 1) into -1 5.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.602 * [backup-simplify]: Simplify (* 1 -1) into -1 5.602 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 5.602 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.602 * [taylor]: Taking taylor expansion of -1/2 in a 5.602 * [backup-simplify]: Simplify -1/2 into -1/2 5.602 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.602 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 5.602 * [taylor]: Taking taylor expansion of (- b a) in a 5.602 * [taylor]: Taking taylor expansion of b in a 5.602 * [backup-simplify]: Simplify b into b 5.602 * [taylor]: Taking taylor expansion of a in a 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.602 * [taylor]: Taking taylor expansion of PI in a 5.602 * [backup-simplify]: Simplify PI into PI 5.603 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.603 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.603 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.603 * [taylor]: Taking taylor expansion of a in a 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.603 * [taylor]: Taking taylor expansion of b in a 5.603 * [backup-simplify]: Simplify b into b 5.603 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.604 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.604 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.604 * [taylor]: Taking taylor expansion of a in a 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.604 * [taylor]: Taking taylor expansion of b in a 5.604 * [backup-simplify]: Simplify b into b 5.604 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.605 * [backup-simplify]: Simplify (- 0) into 0 5.605 * [backup-simplify]: Simplify (+ b 0) into b 5.605 * [backup-simplify]: Simplify (* b PI) into (* PI b) 5.605 * [backup-simplify]: Simplify (+ 1 0) into 1 5.606 * [backup-simplify]: Simplify (+ 1 0) into 1 5.606 * [backup-simplify]: Simplify (* 1 1) into 1 5.606 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 5.606 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.606 * [taylor]: Taking taylor expansion of -1/2 in a 5.606 * [backup-simplify]: Simplify -1/2 into -1/2 5.606 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.606 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 5.606 * [taylor]: Taking taylor expansion of (- b a) in a 5.606 * [taylor]: Taking taylor expansion of b in a 5.606 * [backup-simplify]: Simplify b into b 5.606 * [taylor]: Taking taylor expansion of a in a 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [taylor]: Taking taylor expansion of PI in a 5.607 * [backup-simplify]: Simplify PI into PI 5.607 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.607 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.607 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.607 * [taylor]: Taking taylor expansion of a in a 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (/ 1 1) into 1 5.607 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.607 * [taylor]: Taking taylor expansion of b in a 5.607 * [backup-simplify]: Simplify b into b 5.607 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.607 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.607 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.607 * [taylor]: Taking taylor expansion of a in a 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (/ 1 1) into 1 5.608 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.608 * [taylor]: Taking taylor expansion of b in a 5.608 * [backup-simplify]: Simplify b into b 5.608 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.608 * [backup-simplify]: Simplify (- 0) into 0 5.609 * [backup-simplify]: Simplify (+ b 0) into b 5.609 * [backup-simplify]: Simplify (* b PI) into (* PI b) 5.609 * [backup-simplify]: Simplify (+ 1 0) into 1 5.609 * [backup-simplify]: Simplify (+ 1 0) into 1 5.610 * [backup-simplify]: Simplify (* 1 1) into 1 5.610 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 5.610 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 5.610 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 5.610 * [taylor]: Taking taylor expansion of -1/2 in b 5.610 * [backup-simplify]: Simplify -1/2 into -1/2 5.610 * [taylor]: Taking taylor expansion of (* PI b) in b 5.610 * [taylor]: Taking taylor expansion of PI in b 5.610 * [backup-simplify]: Simplify PI into PI 5.610 * [taylor]: Taking taylor expansion of b in b 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.611 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 5.613 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 5.613 * [backup-simplify]: Simplify (* PI 0) into 0 5.614 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- 1) into -1 5.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.616 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.617 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.618 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.618 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 5.619 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 5.620 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 5.620 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.621 * [taylor]: Taking taylor expansion of 1/2 in b 5.621 * [backup-simplify]: Simplify 1/2 into 1/2 5.621 * [taylor]: Taking taylor expansion of PI in b 5.621 * [backup-simplify]: Simplify PI into PI 5.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.622 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.624 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.624 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.626 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 5.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 5.633 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 5.633 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 5.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 5.633 * [taylor]: Taking taylor expansion of 1/2 in b 5.633 * [backup-simplify]: Simplify 1/2 into 1/2 5.633 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.633 * [taylor]: Taking taylor expansion of PI in b 5.633 * [backup-simplify]: Simplify PI into PI 5.633 * [taylor]: Taking taylor expansion of b in b 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (/ PI 1) into PI 5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.637 * [backup-simplify]: Simplify (- 0) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.638 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.640 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.640 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 5.640 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 5.640 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.640 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.640 * [taylor]: Taking taylor expansion of a in b 5.640 * [backup-simplify]: Simplify a into a 5.640 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.640 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.640 * [taylor]: Taking taylor expansion of b in b 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.640 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.640 * [taylor]: Taking taylor expansion of a in a 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.641 * [taylor]: Taking taylor expansion of b in a 5.641 * [backup-simplify]: Simplify b into b 5.641 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.641 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.641 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.641 * [taylor]: Taking taylor expansion of a in a 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.641 * [taylor]: Taking taylor expansion of b in a 5.641 * [backup-simplify]: Simplify b into b 5.641 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.641 * [taylor]: Taking taylor expansion of 1 in b 5.641 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.642 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.642 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 5.642 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.642 * [taylor]: Taking taylor expansion of b in b 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (/ 1 1) into 1 5.643 * [backup-simplify]: Simplify (- 1) into -1 5.643 * [backup-simplify]: Simplify -1 into -1 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.644 * [backup-simplify]: Simplify (- 0) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [taylor]: Taking taylor expansion of 0 in b 5.644 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 5.646 * [backup-simplify]: Simplify (- 0) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.646 * [taylor]: Taking taylor expansion of 0 in b 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (- 0) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 5.648 * [backup-simplify]: Simplify (- 0) into 0 5.648 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [taylor]: Taking taylor expansion of 0 in b 5.648 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 5.649 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 5.649 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 5.649 * [taylor]: Taking taylor expansion of (- a b) in b 5.649 * [taylor]: Taking taylor expansion of a in b 5.649 * [backup-simplify]: Simplify a into a 5.649 * [taylor]: Taking taylor expansion of b in b 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of (- a b) in a 5.649 * [taylor]: Taking taylor expansion of a in a 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of b in a 5.649 * [backup-simplify]: Simplify b into b 5.649 * [taylor]: Taking taylor expansion of (- a b) in a 5.649 * [taylor]: Taking taylor expansion of a in a 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of b in a 5.649 * [backup-simplify]: Simplify b into b 5.649 * [backup-simplify]: Simplify (- b) into (- b) 5.649 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 5.649 * [taylor]: Taking taylor expansion of (- b) in b 5.649 * [taylor]: Taking taylor expansion of b in b 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [backup-simplify]: Simplify (- 0) into 0 5.649 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify (- 0) into 0 5.650 * [backup-simplify]: Simplify (+ 1 0) into 1 5.650 * [taylor]: Taking taylor expansion of 1 in b 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (- 1) into -1 5.650 * [backup-simplify]: Simplify -1 into -1 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [taylor]: Taking taylor expansion of 0 in b 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [taylor]: Taking taylor expansion of 0 in b 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 5.652 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 5.652 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 5.652 * [taylor]: Taking taylor expansion of (- b a) in b 5.652 * [taylor]: Taking taylor expansion of b in b 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [taylor]: Taking taylor expansion of a in b 5.652 * [backup-simplify]: Simplify a into a 5.652 * [taylor]: Taking taylor expansion of (- b a) in a 5.652 * [taylor]: Taking taylor expansion of b in a 5.652 * [backup-simplify]: Simplify b into b 5.652 * [taylor]: Taking taylor expansion of a in a 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [taylor]: Taking taylor expansion of (- b a) in a 5.652 * [taylor]: Taking taylor expansion of b in a 5.652 * [backup-simplify]: Simplify b into b 5.652 * [taylor]: Taking taylor expansion of a in a 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ b 0) into b 5.653 * [taylor]: Taking taylor expansion of b in b 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (- 1) into -1 5.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.653 * [taylor]: Taking taylor expansion of -1 in b 5.653 * [backup-simplify]: Simplify -1 into -1 5.653 * [backup-simplify]: Simplify -1 into -1 5.653 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (- 0) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [taylor]: Taking taylor expansion of 0 in b 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify (- 0) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.655 * [taylor]: Taking taylor expansion of 0 in b 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 5.655 * * * [progress]: simplifying candidates 5.655 * * * * [progress]: [ 1 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 2 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 3 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 4 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 5 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 6 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 7 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 8 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 9 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 10 / 175 ] simplifiying candidate # 5.655 * * * * [progress]: [ 11 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 12 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 13 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 14 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 15 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 16 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 17 / 175 ] 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[progress]: [ 33 / 175 ] simplifiying candidate # 5.656 * * * * [progress]: [ 34 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 35 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 36 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 37 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 38 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 39 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 40 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 41 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 42 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 43 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 44 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 45 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 46 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 47 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 48 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 49 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 50 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 51 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 52 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 53 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 54 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 55 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 56 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 57 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 58 / 175 ] simplifiying candidate # 5.657 * * * * [progress]: [ 59 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 60 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 61 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 62 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 63 / 175 ] simplifiying candidate #real (real->posit16 (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))))) (* 2 (- b a))))> 5.658 * * * * [progress]: [ 64 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 65 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 66 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 67 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 68 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 69 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 70 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 71 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 72 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 73 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 74 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 75 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 76 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 77 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 78 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 79 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 80 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 81 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 82 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 83 / 175 ] simplifiying candidate # 5.658 * * * * [progress]: [ 84 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 85 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 86 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 87 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 88 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 89 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 90 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 91 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 92 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 93 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 94 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 95 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 96 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 97 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 98 / 175 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))))> 5.659 * * * * [progress]: [ 99 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 100 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 101 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 102 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 103 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 104 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 105 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 106 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 107 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 108 / 175 ] simplifiying candidate # 5.659 * * * * [progress]: [ 109 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 110 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 111 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 112 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 113 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 114 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 115 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 116 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 117 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 118 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 119 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 120 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 121 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 122 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 123 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 124 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 125 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 126 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 127 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 128 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 129 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 130 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 131 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 132 / 175 ] simplifiying candidate # 5.660 * * * * [progress]: [ 133 / 175 ] simplifiying candidate #real (real->posit16 (/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))))))> 5.661 * * * * [progress]: [ 134 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 135 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 136 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 137 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 138 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 139 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 140 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 141 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 142 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 143 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 144 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 145 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 146 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 147 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 148 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 149 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 150 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 151 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 152 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 153 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 154 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 155 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 156 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 157 / 175 ] simplifiying candidate # 5.661 * * * * [progress]: [ 158 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 159 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 160 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 161 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 162 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 163 / 175 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b))))) (* 2 (- b a))))> 5.662 * * * * [progress]: [ 164 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 165 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 166 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 167 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 168 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 169 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 170 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 171 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 172 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 173 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 174 / 175 ] simplifiying candidate # 5.662 * * * * [progress]: [ 175 / 175 ] simplifiying candidate # 5.664 * [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)) 5.666 * * [simplify]: iteration 0: 247 enodes 5.752 * * [simplify]: iteration 1: 790 enodes 5.937 * * [simplify]: iteration 2: 2002 enodes 6.461 * * [simplify]: iteration complete: 2002 enodes 6.461 * * [simplify]: Extracting #0: cost 133 inf + 0 6.462 * * [simplify]: Extracting #1: cost 616 inf + 85 6.467 * * [simplify]: Extracting #2: cost 837 inf + 16519 6.479 * * [simplify]: Extracting #3: cost 525 inf + 74766 6.528 * * [simplify]: Extracting #4: cost 134 inf + 184076 6.578 * * [simplify]: Extracting #5: cost 22 inf + 215208 6.641 * * [simplify]: Extracting #6: cost 3 inf + 219315 6.693 * * [simplify]: Extracting #7: cost 0 inf + 220074 6.737 * [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)) 6.750 * * * [progress]: adding candidates to table 8.599 * * [progress]: iteration 3 / 4 8.599 * * * [progress]: picking best candidate 8.635 * * * * [pick]: Picked # 8.635 * * * [progress]: localizing error 8.683 * * * [progress]: generating rewritten candidates 8.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.717 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 8.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 8.774 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.811 * * * [progress]: generating series expansions 8.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 8.812 * [backup-simplify]: Simplify (/ (* (/ PI (+ b a)) (- b a)) (* a b)) into (/ (* (- b a) PI) (* a (* (+ a b) b))) 8.812 * [approximate]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in (b a) around 0 8.812 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in a 8.812 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 8.812 * [taylor]: Taking taylor expansion of (- b a) in a 8.812 * [taylor]: Taking taylor expansion of b in a 8.812 * [backup-simplify]: Simplify b into b 8.812 * [taylor]: Taking taylor expansion of a in a 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of PI in a 8.812 * [backup-simplify]: Simplify PI into PI 8.812 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 8.812 * [taylor]: Taking taylor expansion of a in a 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 8.812 * [taylor]: Taking taylor expansion of (+ a b) in a 8.812 * [taylor]: Taking taylor expansion of a in a 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of b in a 8.812 * [backup-simplify]: Simplify b into b 8.812 * [taylor]: Taking taylor expansion of b in a 8.812 * [backup-simplify]: Simplify b into b 8.813 * [backup-simplify]: Simplify (- 0) into 0 8.813 * [backup-simplify]: Simplify (+ b 0) into b 8.813 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.813 * [backup-simplify]: Simplify (+ 0 b) into b 8.813 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.813 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 8.813 * [backup-simplify]: Simplify (+ 1 0) into 1 8.813 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 8.813 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 8.813 * [backup-simplify]: Simplify (/ (* PI b) (pow b 2)) into (/ PI b) 8.813 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 8.813 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 8.813 * [taylor]: Taking taylor expansion of (- b a) in b 8.813 * [taylor]: Taking taylor expansion of b in b 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 1 into 1 8.813 * [taylor]: Taking taylor expansion of a in b 8.813 * [backup-simplify]: Simplify a into a 8.813 * [taylor]: Taking taylor expansion of PI in b 8.813 * [backup-simplify]: Simplify PI into PI 8.813 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 8.813 * [taylor]: Taking taylor expansion of a in b 8.813 * [backup-simplify]: Simplify a into a 8.813 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.813 * [taylor]: Taking taylor expansion of (+ a b) in b 8.813 * [taylor]: Taking taylor expansion of a in b 8.814 * [backup-simplify]: Simplify a into a 8.814 * [taylor]: Taking taylor expansion of b in b 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [taylor]: Taking taylor expansion of b in b 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (- a) into (- a) 8.814 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.814 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 8.814 * [backup-simplify]: Simplify (+ a 0) into a 8.814 * [backup-simplify]: Simplify (* a 0) into 0 8.814 * [backup-simplify]: Simplify (* a 0) into 0 8.814 * [backup-simplify]: Simplify (+ 0 1) into 1 8.814 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.815 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 8.815 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 8.815 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 8.815 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 8.815 * [taylor]: Taking taylor expansion of (- b a) in b 8.815 * [taylor]: Taking taylor expansion of b in b 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of a in b 8.815 * [backup-simplify]: Simplify a into a 8.815 * [taylor]: Taking taylor expansion of PI in b 8.815 * [backup-simplify]: Simplify PI into PI 8.815 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 8.815 * [taylor]: Taking taylor expansion of a in b 8.815 * [backup-simplify]: Simplify a into a 8.815 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.815 * [taylor]: Taking taylor expansion of (+ a b) in b 8.815 * [taylor]: Taking taylor expansion of a in b 8.815 * [backup-simplify]: Simplify a into a 8.815 * [taylor]: Taking taylor expansion of b in b 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of b in b 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (- a) into (- a) 8.815 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.815 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 8.815 * [backup-simplify]: Simplify (+ a 0) into a 8.815 * [backup-simplify]: Simplify (* a 0) into 0 8.815 * [backup-simplify]: Simplify (* a 0) into 0 8.816 * [backup-simplify]: Simplify (+ 0 1) into 1 8.816 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.817 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 8.817 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 8.817 * [taylor]: Taking taylor expansion of (* -1 (/ PI a)) in a 8.817 * [taylor]: Taking taylor expansion of -1 in a 8.817 * [backup-simplify]: Simplify -1 into -1 8.817 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.817 * [taylor]: Taking taylor expansion of PI in a 8.817 * [backup-simplify]: Simplify PI into PI 8.817 * [taylor]: Taking taylor expansion of a in a 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.818 * [backup-simplify]: Simplify (/ PI 1) into PI 8.818 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.819 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.819 * [backup-simplify]: Simplify (- 0) into 0 8.820 * [backup-simplify]: Simplify (+ 1 0) into 1 8.820 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 8.821 * [backup-simplify]: Simplify (+ 0 0) into 0 8.822 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 8.822 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 8.822 * [backup-simplify]: Simplify (- (/ PI (pow a 2)) (+ (* (* -1 (/ PI a)) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 2))) 8.822 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 8.822 * [taylor]: Taking taylor expansion of 2 in a 8.823 * [backup-simplify]: Simplify 2 into 2 8.823 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.823 * [taylor]: Taking taylor expansion of PI in a 8.823 * [backup-simplify]: Simplify PI into PI 8.823 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.823 * [taylor]: Taking taylor expansion of a in a 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify (* 1 1) into 1 8.824 * [backup-simplify]: Simplify (/ PI 1) into PI 8.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (- 0) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.830 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 8.830 * [backup-simplify]: Simplify (+ 0 0) into 0 8.831 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.832 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 8.833 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ a (pow a 2))))) into (- (* 2 (/ PI (pow a 3)))) 8.833 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 8.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 8.833 * [taylor]: Taking taylor expansion of 2 in a 8.833 * [backup-simplify]: Simplify 2 into 2 8.833 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.833 * [taylor]: Taking taylor expansion of PI in a 8.833 * [backup-simplify]: Simplify PI into PI 8.833 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.833 * [taylor]: Taking taylor expansion of a in a 8.833 * [backup-simplify]: Simplify 0 into 0 8.833 * [backup-simplify]: Simplify 1 into 1 8.833 * [backup-simplify]: Simplify (* 1 1) into 1 8.834 * [backup-simplify]: Simplify (* 1 1) into 1 8.834 * [backup-simplify]: Simplify (/ PI 1) into PI 8.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.841 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify (- 0) into 0 8.852 * [backup-simplify]: Simplify (+ 0 0) into 0 8.853 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.855 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.856 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 a) (* 0 0))))) into 0 8.856 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ 0 (pow a 2))) (* (- (* 2 (/ PI (pow a 3)))) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 4))) 8.857 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 4))) in a 8.857 * [taylor]: Taking taylor expansion of 2 in a 8.857 * [backup-simplify]: Simplify 2 into 2 8.857 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 8.857 * [taylor]: Taking taylor expansion of PI in a 8.857 * [backup-simplify]: Simplify PI into PI 8.857 * [taylor]: Taking taylor expansion of (pow a 4) in a 8.857 * [taylor]: Taking taylor expansion of a in a 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (* 1 1) into 1 8.858 * [backup-simplify]: Simplify (* 1 1) into 1 8.858 * [backup-simplify]: Simplify (/ PI 1) into PI 8.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (* (* -1 PI) (* (/ 1 a) (/ 1 b))) into (* -1 (/ PI (* a b))) 8.870 * [backup-simplify]: Simplify (/ (* (/ PI (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) (* (/ 1 a) (/ 1 b))) into (/ (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) (+ (/ 1 b) (/ 1 a))) 8.870 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) (+ (/ 1 b) (/ 1 a))) in (b a) around 0 8.870 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) (+ (/ 1 b) (/ 1 a))) in a 8.870 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) in a 8.870 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.870 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.870 * [taylor]: Taking taylor expansion of b in a 8.870 * [backup-simplify]: Simplify b into b 8.870 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.870 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.870 * [taylor]: Taking taylor expansion of a in a 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (/ 1 1) into 1 8.871 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 8.871 * [taylor]: Taking taylor expansion of a in a 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [taylor]: Taking taylor expansion of (* PI b) in a 8.871 * [taylor]: Taking taylor expansion of PI in a 8.871 * [backup-simplify]: Simplify PI into PI 8.871 * [taylor]: Taking taylor expansion of b in a 8.871 * [backup-simplify]: Simplify b into b 8.871 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 8.871 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.871 * [taylor]: Taking taylor expansion of b in a 8.871 * [backup-simplify]: Simplify b into b 8.871 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.871 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.871 * [taylor]: Taking taylor expansion of a in a 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ 1 1) into 1 8.872 * [backup-simplify]: Simplify (- 1) into -1 8.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.873 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.873 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 8.873 * [backup-simplify]: Simplify (* -1 0) into 0 8.874 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 8.874 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (- 0) into 0 8.875 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 8.875 * [backup-simplify]: Simplify (+ (* -1 (* PI b)) (* (/ 1 b) 0)) into (- (* PI b)) 8.876 * [backup-simplify]: Simplify (+ 0 1) into 1 8.876 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 8.876 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) (+ (/ 1 b) (/ 1 a))) in b 8.876 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) in b 8.876 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.876 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.876 * [taylor]: Taking taylor expansion of b in b 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (/ 1 1) into 1 8.877 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.877 * [taylor]: Taking taylor expansion of a in b 8.877 * [backup-simplify]: Simplify a into a 8.877 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.877 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 8.877 * [taylor]: Taking taylor expansion of a in b 8.877 * [backup-simplify]: Simplify a into a 8.877 * [taylor]: Taking taylor expansion of (* PI b) in b 8.877 * [taylor]: Taking taylor expansion of PI in b 8.877 * [backup-simplify]: Simplify PI into PI 8.877 * [taylor]: Taking taylor expansion of b in b 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 8.877 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.877 * [taylor]: Taking taylor expansion of b in b 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.878 * [backup-simplify]: Simplify (/ 1 1) into 1 8.878 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.878 * [taylor]: Taking taylor expansion of a in b 8.878 * [backup-simplify]: Simplify a into a 8.878 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.878 * [backup-simplify]: Simplify (+ 1 0) into 1 8.879 * [backup-simplify]: Simplify (* PI 0) into 0 8.879 * [backup-simplify]: Simplify (* a 0) into 0 8.879 * [backup-simplify]: Simplify (* 1 0) into 0 8.881 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.881 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 8.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.882 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.882 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.882 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 8.883 * [backup-simplify]: Simplify (+ 1 0) into 1 8.883 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.883 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) (+ (/ 1 b) (/ 1 a))) in b 8.883 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* a (* PI b))) in b 8.883 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.883 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.883 * [taylor]: Taking taylor expansion of b in b 8.883 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify 1 into 1 8.883 * [backup-simplify]: Simplify (/ 1 1) into 1 8.883 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.883 * [taylor]: Taking taylor expansion of a in b 8.883 * [backup-simplify]: Simplify a into a 8.883 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.884 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 8.884 * [taylor]: Taking taylor expansion of a in b 8.884 * [backup-simplify]: Simplify a into a 8.884 * [taylor]: Taking taylor expansion of (* PI b) in b 8.884 * [taylor]: Taking taylor expansion of PI in b 8.884 * [backup-simplify]: Simplify PI into PI 8.884 * [taylor]: Taking taylor expansion of b in b 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 8.884 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.884 * [taylor]: Taking taylor expansion of b in b 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (/ 1 1) into 1 8.884 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.884 * [taylor]: Taking taylor expansion of a in b 8.884 * [backup-simplify]: Simplify a into a 8.884 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.885 * [backup-simplify]: Simplify (+ 1 0) into 1 8.885 * [backup-simplify]: Simplify (* PI 0) into 0 8.885 * [backup-simplify]: Simplify (* a 0) into 0 8.886 * [backup-simplify]: Simplify (* 1 0) into 0 8.887 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.888 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 8.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.889 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.889 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 8.889 * [backup-simplify]: Simplify (+ 1 0) into 1 8.889 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.889 * [taylor]: Taking taylor expansion of (* a PI) in a 8.890 * [taylor]: Taking taylor expansion of a in a 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [taylor]: Taking taylor expansion of PI in a 8.890 * [backup-simplify]: Simplify PI into PI 8.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.891 * [backup-simplify]: Simplify PI into PI 8.892 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.892 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 8.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (* a PI)) (* 0 0))) into (- PI) 8.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 8.895 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- (* 2 PI)) 8.895 * [taylor]: Taking taylor expansion of (- (* 2 PI)) in a 8.895 * [taylor]: Taking taylor expansion of (* 2 PI) in a 8.895 * [taylor]: Taking taylor expansion of 2 in a 8.895 * [backup-simplify]: Simplify 2 into 2 8.895 * [taylor]: Taking taylor expansion of PI in a 8.895 * [backup-simplify]: Simplify PI into PI 8.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.896 * [backup-simplify]: Simplify (- 0) into 0 8.896 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.898 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.899 * [backup-simplify]: Simplify (- 0) into 0 8.899 * [backup-simplify]: Simplify (+ 0 0) into 0 8.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 (* a PI)) (* 0 0)))) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.900 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 8.902 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 8.902 * [taylor]: Taking taylor expansion of 2 in a 8.902 * [backup-simplify]: Simplify 2 into 2 8.902 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.902 * [taylor]: Taking taylor expansion of PI in a 8.902 * [backup-simplify]: Simplify PI into PI 8.902 * [taylor]: Taking taylor expansion of a in a 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (/ PI 1) into PI 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.907 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.908 * [backup-simplify]: Simplify (- 0) into 0 8.908 * [backup-simplify]: Simplify (+ 0 0) into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 (* a PI)) (* 0 0))))) into 0 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.910 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 8.911 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 8.911 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 8.911 * [taylor]: Taking taylor expansion of 2 in a 8.911 * [backup-simplify]: Simplify 2 into 2 8.911 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.911 * [taylor]: Taking taylor expansion of PI in a 8.911 * [backup-simplify]: Simplify PI into PI 8.911 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.911 * [taylor]: Taking taylor expansion of a in a 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (* 1 1) into 1 8.912 * [backup-simplify]: Simplify (/ PI 1) into PI 8.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.916 * [backup-simplify]: Simplify (- 0) into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify (* PI (* (/ 1 a) (/ 1 b))) into (/ PI (* a b)) 8.917 * [backup-simplify]: Simplify (/ (* (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a)))) 8.917 * [approximate]: Taking taylor expansion of (* -1 (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 8.917 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a)))) in a 8.917 * [taylor]: Taking taylor expansion of -1 in a 8.917 * [backup-simplify]: Simplify -1 into -1 8.917 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a))) in a 8.917 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) in a 8.917 * [taylor]: Taking taylor expansion of a in a 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [taylor]: Taking taylor expansion of (* b (* PI (- (/ 1 a) (/ 1 b)))) in a 8.917 * [taylor]: Taking taylor expansion of b in a 8.917 * [backup-simplify]: Simplify b into b 8.917 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 8.917 * [taylor]: Taking taylor expansion of PI in a 8.917 * [backup-simplify]: Simplify PI into PI 8.917 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.917 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.917 * [taylor]: Taking taylor expansion of a in a 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (/ 1 1) into 1 8.917 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.917 * [taylor]: Taking taylor expansion of b in a 8.917 * [backup-simplify]: Simplify b into b 8.917 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.917 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 8.917 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.917 * [taylor]: Taking taylor expansion of b in a 8.917 * [backup-simplify]: Simplify b into b 8.917 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.917 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.917 * [taylor]: Taking taylor expansion of a in a 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (/ 1 1) into 1 8.918 * [backup-simplify]: Simplify (+ 1 0) into 1 8.918 * [backup-simplify]: Simplify (* PI 1) into PI 8.918 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.918 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 8.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.919 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 8.919 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 8.919 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 8.920 * [backup-simplify]: Simplify (+ (* b (- (/ PI b))) (* 0 PI)) into (- PI) 8.921 * [backup-simplify]: Simplify (+ (* 0 (- PI)) (* 1 (* PI b))) into (* b PI) 8.921 * [backup-simplify]: Simplify (+ 0 1) into 1 8.921 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 8.921 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a)))) in b 8.921 * [taylor]: Taking taylor expansion of -1 in b 8.921 * [backup-simplify]: Simplify -1 into -1 8.921 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a))) in b 8.921 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) in b 8.921 * [taylor]: Taking taylor expansion of a in b 8.921 * [backup-simplify]: Simplify a into a 8.922 * [taylor]: Taking taylor expansion of (* b (* PI (- (/ 1 a) (/ 1 b)))) in b 8.922 * [taylor]: Taking taylor expansion of b in b 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 8.922 * [taylor]: Taking taylor expansion of PI in b 8.922 * [backup-simplify]: Simplify PI into PI 8.922 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.922 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.922 * [taylor]: Taking taylor expansion of a in b 8.922 * [backup-simplify]: Simplify a into a 8.922 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.922 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.922 * [taylor]: Taking taylor expansion of b in b 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.923 * [backup-simplify]: Simplify (/ 1 1) into 1 8.923 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 8.923 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.923 * [taylor]: Taking taylor expansion of b in b 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [backup-simplify]: Simplify (/ 1 1) into 1 8.923 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.923 * [taylor]: Taking taylor expansion of a in b 8.923 * [backup-simplify]: Simplify a into a 8.923 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.924 * [backup-simplify]: Simplify (- 1) into -1 8.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.925 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 8.925 * [backup-simplify]: Simplify (* 0 (* -1 PI)) into 0 8.925 * [backup-simplify]: Simplify (* a 0) into 0 8.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.927 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.927 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 8.928 * [backup-simplify]: Simplify (+ (* 0 (/ PI a)) (* 1 (* -1 PI))) into (- PI) 8.928 * [backup-simplify]: Simplify (+ (* a (- PI)) (* 0 0)) into (- (* a PI)) 8.929 * [backup-simplify]: Simplify (+ 1 0) into 1 8.929 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 8.929 * [taylor]: Taking taylor expansion of (* -1 (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a)))) in b 8.929 * [taylor]: Taking taylor expansion of -1 in b 8.929 * [backup-simplify]: Simplify -1 into -1 8.929 * [taylor]: Taking taylor expansion of (/ (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 b) (/ 1 a))) in b 8.929 * [taylor]: Taking taylor expansion of (* a (* b (* PI (- (/ 1 a) (/ 1 b))))) in b 8.929 * [taylor]: Taking taylor expansion of a in b 8.929 * [backup-simplify]: Simplify a into a 8.929 * [taylor]: Taking taylor expansion of (* b (* PI (- (/ 1 a) (/ 1 b)))) in b 8.929 * [taylor]: Taking taylor expansion of b in b 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.929 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 8.929 * [taylor]: Taking taylor expansion of PI in b 8.929 * [backup-simplify]: Simplify PI into PI 8.929 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.929 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.929 * [taylor]: Taking taylor expansion of a in b 8.929 * [backup-simplify]: Simplify a into a 8.929 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.929 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.929 * [taylor]: Taking taylor expansion of b in b 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.929 * [backup-simplify]: Simplify (/ 1 1) into 1 8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 8.929 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.929 * [taylor]: Taking taylor expansion of b in b 8.929 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.930 * [taylor]: Taking taylor expansion of a in b 8.930 * [backup-simplify]: Simplify a into a 8.930 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.930 * [backup-simplify]: Simplify (- 1) into -1 8.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.931 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 8.931 * [backup-simplify]: Simplify (* 0 (* -1 PI)) into 0 8.931 * [backup-simplify]: Simplify (* a 0) into 0 8.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.932 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 8.933 * [backup-simplify]: Simplify (+ (* 0 (/ PI a)) (* 1 (* -1 PI))) into (- PI) 8.934 * [backup-simplify]: Simplify (+ (* a (- PI)) (* 0 0)) into (- (* a PI)) 8.934 * [backup-simplify]: Simplify (+ 1 0) into 1 8.934 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 8.934 * [backup-simplify]: Simplify (* -1 (* -1 (* a PI))) into (* a PI) 8.934 * [taylor]: Taking taylor expansion of (* a PI) in a 8.934 * [taylor]: Taking taylor expansion of a in a 8.934 * [backup-simplify]: Simplify 0 into 0 8.934 * [backup-simplify]: Simplify 1 into 1 8.934 * [taylor]: Taking taylor expansion of PI in a 8.934 * [backup-simplify]: Simplify PI into PI 8.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.935 * [backup-simplify]: Simplify PI into PI 8.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.936 * [backup-simplify]: Simplify (- 0) into 0 8.936 * [backup-simplify]: Simplify (+ 0 0) into 0 8.937 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 8.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ PI a)) (* 0 (* -1 PI)))) into (/ PI a) 8.938 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (+ (* 0 (- PI)) (* 0 0))) into PI 8.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.939 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 8.939 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* a PI)) (/ (/ 1 a) 1)))) into (* 2 PI) 8.940 * [backup-simplify]: Simplify (+ (* -1 (* 2 PI)) (* 0 (* -1 (* a PI)))) into (- (* 2 PI)) 8.940 * [taylor]: Taking taylor expansion of (- (* 2 PI)) in a 8.940 * [taylor]: Taking taylor expansion of (* 2 PI) in a 8.940 * [taylor]: Taking taylor expansion of 2 in a 8.940 * [backup-simplify]: Simplify 2 into 2 8.940 * [taylor]: Taking taylor expansion of PI in a 8.940 * [backup-simplify]: Simplify PI into PI 8.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (- 0) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.943 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 8.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI))))) into 0 8.945 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (/ PI a)) (+ (* 0 (- PI)) (* 0 0)))) into 0 8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.945 * [backup-simplify]: Simplify (+ 0 0) into 0 8.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 8.947 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI))))) into (* 2 (/ PI a)) 8.947 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 8.947 * [taylor]: Taking taylor expansion of 2 in a 8.947 * [backup-simplify]: Simplify 2 into 2 8.947 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.947 * [taylor]: Taking taylor expansion of PI in a 8.947 * [backup-simplify]: Simplify PI into PI 8.947 * [taylor]: Taking taylor expansion of a in a 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.948 * [backup-simplify]: Simplify (/ PI 1) into PI 8.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.951 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.952 * [backup-simplify]: Simplify (- 0) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (- 0) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.958 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI)))))) into 0 8.961 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (+ (* 0 (- PI)) (* 0 0))))) into 0 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 8.963 * [backup-simplify]: Simplify (+ 0 0) into 0 8.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 8.972 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI)))))) into (- (* 2 (/ PI (pow a 2)))) 8.972 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 8.972 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 8.972 * [taylor]: Taking taylor expansion of 2 in a 8.972 * [backup-simplify]: Simplify 2 into 2 8.972 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.972 * [taylor]: Taking taylor expansion of PI in a 8.972 * [backup-simplify]: Simplify PI into PI 8.972 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.972 * [taylor]: Taking taylor expansion of a in a 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.973 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (/ PI 1) into PI 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify (* PI (* (/ 1 (- a)) (/ 1 (- b)))) into (/ PI (* a b)) 8.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.980 * [backup-simplify]: Simplify (* (/ PI (+ b a)) (- b a)) into (/ (* (- b a) PI) (+ a b)) 8.980 * [approximate]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in (b a) around 0 8.980 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in a 8.981 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 8.981 * [taylor]: Taking taylor expansion of (- b a) in a 8.981 * [taylor]: Taking taylor expansion of b in a 8.981 * [backup-simplify]: Simplify b into b 8.981 * [taylor]: Taking taylor expansion of a in a 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [taylor]: Taking taylor expansion of PI in a 8.981 * [backup-simplify]: Simplify PI into PI 8.981 * [taylor]: Taking taylor expansion of (+ a b) in a 8.981 * [taylor]: Taking taylor expansion of a in a 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [taylor]: Taking taylor expansion of b in a 8.981 * [backup-simplify]: Simplify b into b 8.981 * [backup-simplify]: Simplify (- 0) into 0 8.981 * [backup-simplify]: Simplify (+ b 0) into b 8.981 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.981 * [backup-simplify]: Simplify (+ 0 b) into b 8.981 * [backup-simplify]: Simplify (/ (* PI b) b) into PI 8.981 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 8.981 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 8.981 * [taylor]: Taking taylor expansion of (- b a) in b 8.981 * [taylor]: Taking taylor expansion of b in b 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [taylor]: Taking taylor expansion of a in b 8.981 * [backup-simplify]: Simplify a into a 8.981 * [taylor]: Taking taylor expansion of PI in b 8.981 * [backup-simplify]: Simplify PI into PI 8.981 * [taylor]: Taking taylor expansion of (+ a b) in b 8.981 * [taylor]: Taking taylor expansion of a in b 8.981 * [backup-simplify]: Simplify a into a 8.981 * [taylor]: Taking taylor expansion of b in b 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (- a) into (- a) 8.981 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.981 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 8.981 * [backup-simplify]: Simplify (+ a 0) into a 8.982 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 8.982 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 8.982 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 8.982 * [taylor]: Taking taylor expansion of (- b a) in b 8.982 * [taylor]: Taking taylor expansion of b in b 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [taylor]: Taking taylor expansion of a in b 8.982 * [backup-simplify]: Simplify a into a 8.982 * [taylor]: Taking taylor expansion of PI in b 8.982 * [backup-simplify]: Simplify PI into PI 8.982 * [taylor]: Taking taylor expansion of (+ a b) in b 8.982 * [taylor]: Taking taylor expansion of a in b 8.982 * [backup-simplify]: Simplify a into a 8.982 * [taylor]: Taking taylor expansion of b in b 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (- a) into (- a) 8.982 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.982 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 8.982 * [backup-simplify]: Simplify (+ a 0) into a 8.982 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 8.982 * [taylor]: Taking taylor expansion of (* -1 PI) in a 8.982 * [taylor]: Taking taylor expansion of -1 in a 8.982 * [backup-simplify]: Simplify -1 into -1 8.982 * [taylor]: Taking taylor expansion of PI in a 8.982 * [backup-simplify]: Simplify PI into PI 8.983 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.983 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.983 * [backup-simplify]: Simplify (- 0) into 0 8.984 * [backup-simplify]: Simplify (+ 1 0) into 1 8.984 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 8.984 * [backup-simplify]: Simplify (+ 0 1) into 1 8.985 * [backup-simplify]: Simplify (- (/ PI a) (+ (* (* -1 PI) (/ 1 a)))) into (* 2 (/ PI a)) 8.985 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 8.985 * [taylor]: Taking taylor expansion of 2 in a 8.985 * [backup-simplify]: Simplify 2 into 2 8.985 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.985 * [taylor]: Taking taylor expansion of PI in a 8.985 * [backup-simplify]: Simplify PI into PI 8.985 * [taylor]: Taking taylor expansion of a in a 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (/ PI 1) into PI 8.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (- 0) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.988 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.989 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 1 a)))) into (- (* 2 (/ PI (pow a 2)))) 8.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 8.989 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 8.989 * [taylor]: Taking taylor expansion of 2 in a 8.989 * [backup-simplify]: Simplify 2 into 2 8.989 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.989 * [taylor]: Taking taylor expansion of PI in a 8.989 * [backup-simplify]: Simplify PI into PI 8.989 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.989 * [taylor]: Taking taylor expansion of a in a 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (* 1 1) into 1 8.990 * [backup-simplify]: Simplify (/ PI 1) into PI 8.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.993 * [backup-simplify]: Simplify (- 0) into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.994 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify (- 0) into 0 8.995 * [backup-simplify]: Simplify (+ 0 0) into 0 8.996 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.996 * [backup-simplify]: Simplify (+ 0 0) into 0 8.997 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 0 a)) (* (- (* 2 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2 (/ PI (pow a 3))) 8.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 8.997 * [taylor]: Taking taylor expansion of 2 in a 8.997 * [backup-simplify]: Simplify 2 into 2 8.997 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.997 * [taylor]: Taking taylor expansion of PI in a 8.997 * [backup-simplify]: Simplify PI into PI 8.997 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.997 * [taylor]: Taking taylor expansion of a in a 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (* 1 1) into 1 8.997 * [backup-simplify]: Simplify (* 1 1) into 1 8.998 * [backup-simplify]: Simplify (/ PI 1) into PI 8.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.004 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) into (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 b) (/ 1 a))) 9.004 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 b) (/ 1 a))) in (b a) around 0 9.004 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 b) (/ 1 a))) in a 9.004 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in a 9.004 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.004 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.004 * [taylor]: Taking taylor expansion of b in a 9.004 * [backup-simplify]: Simplify b into b 9.004 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.004 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.004 * [taylor]: Taking taylor expansion of a in a 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.004 * [backup-simplify]: Simplify (/ 1 1) into 1 9.005 * [taylor]: Taking taylor expansion of PI in a 9.005 * [backup-simplify]: Simplify PI into PI 9.005 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.005 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.005 * [taylor]: Taking taylor expansion of b in a 9.005 * [backup-simplify]: Simplify b into b 9.005 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.005 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.005 * [taylor]: Taking taylor expansion of a in a 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ 1 1) into 1 9.005 * [backup-simplify]: Simplify (- 1) into -1 9.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.006 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.006 * [backup-simplify]: Simplify (+ 0 1) into 1 9.007 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 9.007 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 b) (/ 1 a))) in b 9.007 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 9.007 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.007 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.007 * [taylor]: Taking taylor expansion of b in b 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify 1 into 1 9.007 * [backup-simplify]: Simplify (/ 1 1) into 1 9.007 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.007 * [taylor]: Taking taylor expansion of a in b 9.007 * [backup-simplify]: Simplify a into a 9.007 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.007 * [taylor]: Taking taylor expansion of PI in b 9.007 * [backup-simplify]: Simplify PI into PI 9.007 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.007 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.007 * [taylor]: Taking taylor expansion of b in b 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify 1 into 1 9.008 * [backup-simplify]: Simplify (/ 1 1) into 1 9.008 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.008 * [taylor]: Taking taylor expansion of a in b 9.008 * [backup-simplify]: Simplify a into a 9.008 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.008 * [backup-simplify]: Simplify (+ 1 0) into 1 9.009 * [backup-simplify]: Simplify (* 1 PI) into PI 9.009 * [backup-simplify]: Simplify (+ 1 0) into 1 9.010 * [backup-simplify]: Simplify (/ PI 1) into PI 9.010 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 b) (/ 1 a))) in b 9.010 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 9.010 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.010 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.010 * [taylor]: Taking taylor expansion of b in b 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.010 * [backup-simplify]: Simplify (/ 1 1) into 1 9.010 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.010 * [taylor]: Taking taylor expansion of a in b 9.010 * [backup-simplify]: Simplify a into a 9.011 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.011 * [taylor]: Taking taylor expansion of PI in b 9.011 * [backup-simplify]: Simplify PI into PI 9.011 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.011 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.011 * [taylor]: Taking taylor expansion of b in b 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (/ 1 1) into 1 9.011 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.011 * [taylor]: Taking taylor expansion of a in b 9.011 * [backup-simplify]: Simplify a into a 9.011 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.012 * [backup-simplify]: Simplify (+ 1 0) into 1 9.012 * [backup-simplify]: Simplify (* 1 PI) into PI 9.013 * [backup-simplify]: Simplify (+ 1 0) into 1 9.013 * [backup-simplify]: Simplify (/ PI 1) into PI 9.013 * [taylor]: Taking taylor expansion of PI in a 9.013 * [backup-simplify]: Simplify PI into PI 9.013 * [backup-simplify]: Simplify PI into PI 9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 9.014 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 9.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.016 * [backup-simplify]: Simplify (- (/ (- (/ PI a)) 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 9.016 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI a))) in a 9.016 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 9.016 * [taylor]: Taking taylor expansion of 2 in a 9.016 * [backup-simplify]: Simplify 2 into 2 9.016 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.016 * [taylor]: Taking taylor expansion of PI in a 9.016 * [backup-simplify]: Simplify PI into PI 9.016 * [taylor]: Taking taylor expansion of a in a 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.017 * [backup-simplify]: Simplify (/ PI 1) into PI 9.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 9.019 * [backup-simplify]: Simplify (- 0) into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.021 * [backup-simplify]: Simplify (- 0) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* 0 PI))) into 0 9.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.023 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 9.025 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 9.025 * [taylor]: Taking taylor expansion of 2 in a 9.025 * [backup-simplify]: Simplify 2 into 2 9.025 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.025 * [taylor]: Taking taylor expansion of PI in a 9.025 * [backup-simplify]: Simplify PI into PI 9.025 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.025 * [taylor]: Taking taylor expansion of a in a 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ PI 1) into PI 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 9.031 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 9.033 * [backup-simplify]: Simplify (- 0) into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.035 * [backup-simplify]: Simplify (- 0) into 0 9.035 * [backup-simplify]: Simplify (+ 0 0) into 0 9.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 9.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.038 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ 0 1)) (* (* 2 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 3)))) 9.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 9.040 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 9.040 * [taylor]: Taking taylor expansion of 2 in a 9.040 * [backup-simplify]: Simplify 2 into 2 9.040 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.040 * [taylor]: Taking taylor expansion of PI in a 9.040 * [backup-simplify]: Simplify PI into PI 9.040 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.040 * [taylor]: Taking taylor expansion of a in a 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify 1 into 1 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.041 * [backup-simplify]: Simplify (* 1 1) into 1 9.041 * [backup-simplify]: Simplify (/ PI 1) into PI 9.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.048 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify PI into PI 9.049 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)))) 9.049 * [approximate]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.049 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)))) in a 9.049 * [taylor]: Taking taylor expansion of -1 in a 9.049 * [backup-simplify]: Simplify -1 into -1 9.049 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a))) in a 9.049 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 9.049 * [taylor]: Taking taylor expansion of PI in a 9.049 * [backup-simplify]: Simplify PI into PI 9.049 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.049 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.049 * [taylor]: Taking taylor expansion of a in a 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.049 * [taylor]: Taking taylor expansion of b in a 9.049 * [backup-simplify]: Simplify b into b 9.049 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.049 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.049 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.049 * [taylor]: Taking taylor expansion of b in a 9.049 * [backup-simplify]: Simplify b into b 9.049 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.049 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.049 * [taylor]: Taking taylor expansion of a in a 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.050 * [backup-simplify]: Simplify (+ 1 0) into 1 9.050 * [backup-simplify]: Simplify (* PI 1) into PI 9.050 * [backup-simplify]: Simplify (+ 0 1) into 1 9.051 * [backup-simplify]: Simplify (/ PI 1) into PI 9.051 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)))) in b 9.051 * [taylor]: Taking taylor expansion of -1 in b 9.051 * [backup-simplify]: Simplify -1 into -1 9.051 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a))) in b 9.051 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 9.051 * [taylor]: Taking taylor expansion of PI in b 9.051 * [backup-simplify]: Simplify PI into PI 9.051 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.051 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.051 * [taylor]: Taking taylor expansion of a in b 9.051 * [backup-simplify]: Simplify a into a 9.051 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.051 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.051 * [taylor]: Taking taylor expansion of b in b 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.051 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.051 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.051 * [taylor]: Taking taylor expansion of b in b 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (/ 1 1) into 1 9.051 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.052 * [taylor]: Taking taylor expansion of a in b 9.052 * [backup-simplify]: Simplify a into a 9.052 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.052 * [backup-simplify]: Simplify (- 1) into -1 9.052 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.052 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 9.053 * [backup-simplify]: Simplify (+ 1 0) into 1 9.053 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 9.053 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a)))) in b 9.053 * [taylor]: Taking taylor expansion of -1 in b 9.053 * [backup-simplify]: Simplify -1 into -1 9.053 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 b) (/ 1 a))) in b 9.053 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 9.053 * [taylor]: Taking taylor expansion of PI in b 9.053 * [backup-simplify]: Simplify PI into PI 9.053 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.053 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.053 * [taylor]: Taking taylor expansion of a in b 9.054 * [backup-simplify]: Simplify a into a 9.054 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.054 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.054 * [taylor]: Taking taylor expansion of b in b 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.054 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.054 * [taylor]: Taking taylor expansion of b in b 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.054 * [taylor]: Taking taylor expansion of a in b 9.054 * [backup-simplify]: Simplify a into a 9.054 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.054 * [backup-simplify]: Simplify (- 1) into -1 9.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.055 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 9.055 * [backup-simplify]: Simplify (+ 1 0) into 1 9.056 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 9.057 * [backup-simplify]: Simplify (* -1 (* -1 PI)) into PI 9.057 * [taylor]: Taking taylor expansion of PI in a 9.057 * [backup-simplify]: Simplify PI into PI 9.057 * [backup-simplify]: Simplify PI into PI 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.058 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 9.058 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 9.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.059 * [backup-simplify]: Simplify (- (/ (/ PI a) 1) (+ (* (* -1 PI) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 9.059 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (- (* 2 (/ PI a))) 9.059 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI a))) in a 9.059 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 9.059 * [taylor]: Taking taylor expansion of 2 in a 9.059 * [backup-simplify]: Simplify 2 into 2 9.059 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.059 * [taylor]: Taking taylor expansion of PI in a 9.059 * [backup-simplify]: Simplify PI into PI 9.059 * [taylor]: Taking taylor expansion of a in a 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (/ PI 1) into PI 9.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.062 * [backup-simplify]: Simplify (- 0) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 9.065 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (* 2 (/ PI (pow a 2))) 9.065 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 9.065 * [taylor]: Taking taylor expansion of 2 in a 9.065 * [backup-simplify]: Simplify 2 into 2 9.065 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.065 * [taylor]: Taking taylor expansion of PI in a 9.065 * [backup-simplify]: Simplify PI into PI 9.065 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.065 * [taylor]: Taking taylor expansion of a in a 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify (* 1 1) into 1 9.066 * [backup-simplify]: Simplify (/ PI 1) into PI 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 9.070 * [backup-simplify]: Simplify (- 0) into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (- 0) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 9.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ 0 1)) (* (- (* 2 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 3))) 9.078 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (- (* 2 (/ PI (pow a 3)))) 9.078 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 9.078 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 9.078 * [taylor]: Taking taylor expansion of 2 in a 9.078 * [backup-simplify]: Simplify 2 into 2 9.078 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.078 * [taylor]: Taking taylor expansion of PI in a 9.078 * [backup-simplify]: Simplify PI into PI 9.078 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.078 * [taylor]: Taking taylor expansion of a in a 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (* 1 1) into 1 9.084 * [backup-simplify]: Simplify (* 1 1) into 1 9.085 * [backup-simplify]: Simplify (/ PI 1) into PI 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.096 * [backup-simplify]: Simplify (- 0) into 0 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify PI into PI 9.096 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 9.096 * [backup-simplify]: Simplify (/ PI (+ b a)) into (/ PI (+ a b)) 9.096 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 9.096 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.096 * [taylor]: Taking taylor expansion of PI in a 9.096 * [backup-simplify]: Simplify PI into PI 9.096 * [taylor]: Taking taylor expansion of (+ a b) in a 9.096 * [taylor]: Taking taylor expansion of a in a 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [taylor]: Taking taylor expansion of b in a 9.096 * [backup-simplify]: Simplify b into b 9.096 * [backup-simplify]: Simplify (+ 0 b) into b 9.096 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.096 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.096 * [taylor]: Taking taylor expansion of PI in b 9.096 * [backup-simplify]: Simplify PI into PI 9.096 * [taylor]: Taking taylor expansion of (+ a b) in b 9.096 * [taylor]: Taking taylor expansion of a in b 9.096 * [backup-simplify]: Simplify a into a 9.096 * [taylor]: Taking taylor expansion of b in b 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.097 * [backup-simplify]: Simplify (+ a 0) into a 9.097 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.097 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.097 * [taylor]: Taking taylor expansion of PI in b 9.097 * [backup-simplify]: Simplify PI into PI 9.097 * [taylor]: Taking taylor expansion of (+ a b) in b 9.097 * [taylor]: Taking taylor expansion of a in b 9.097 * [backup-simplify]: Simplify a into a 9.097 * [taylor]: Taking taylor expansion of b in b 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [backup-simplify]: Simplify (+ a 0) into a 9.097 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.097 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.097 * [taylor]: Taking taylor expansion of PI in a 9.097 * [backup-simplify]: Simplify PI into PI 9.097 * [taylor]: Taking taylor expansion of a in a 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (/ PI 1) into PI 9.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify (+ 0 1) into 1 9.099 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 9.099 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 9.099 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.100 * [taylor]: Taking taylor expansion of PI in a 9.100 * [backup-simplify]: Simplify PI into PI 9.100 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.100 * [taylor]: Taking taylor expansion of a in a 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.101 * [backup-simplify]: Simplify (/ PI 1) into PI 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.105 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 9.106 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.106 * [taylor]: Taking taylor expansion of PI in a 9.106 * [backup-simplify]: Simplify PI into PI 9.106 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.106 * [taylor]: Taking taylor expansion of a in a 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 1 into 1 9.106 * [backup-simplify]: Simplify (* 1 1) into 1 9.106 * [backup-simplify]: Simplify (* 1 1) into 1 9.106 * [backup-simplify]: Simplify (/ PI 1) into PI 9.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.113 * [backup-simplify]: Simplify (- 0) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify (/ PI (+ (/ 1 b) (/ 1 a))) into (/ PI (+ (/ 1 b) (/ 1 a))) 9.114 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in (b a) around 0 9.114 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 9.114 * [taylor]: Taking taylor expansion of PI in a 9.114 * [backup-simplify]: Simplify PI into PI 9.114 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.114 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.114 * [taylor]: Taking taylor expansion of b in a 9.114 * [backup-simplify]: Simplify b into b 9.114 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.114 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.114 * [taylor]: Taking taylor expansion of a in a 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 1 into 1 9.115 * [backup-simplify]: Simplify (/ 1 1) into 1 9.115 * [backup-simplify]: Simplify (+ 0 1) into 1 9.115 * [backup-simplify]: Simplify (/ PI 1) into PI 9.115 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.115 * [taylor]: Taking taylor expansion of PI in b 9.115 * [backup-simplify]: Simplify PI into PI 9.115 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.115 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.115 * [taylor]: Taking taylor expansion of b in b 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.116 * [backup-simplify]: Simplify (/ 1 1) into 1 9.116 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.116 * [taylor]: Taking taylor expansion of a in b 9.116 * [backup-simplify]: Simplify a into a 9.116 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.116 * [backup-simplify]: Simplify (+ 1 0) into 1 9.116 * [backup-simplify]: Simplify (/ PI 1) into PI 9.116 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.116 * [taylor]: Taking taylor expansion of PI in b 9.116 * [backup-simplify]: Simplify PI into PI 9.116 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.116 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.116 * [taylor]: Taking taylor expansion of b in b 9.116 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify 1 into 1 9.117 * [backup-simplify]: Simplify (/ 1 1) into 1 9.117 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.117 * [taylor]: Taking taylor expansion of a in b 9.117 * [backup-simplify]: Simplify a into a 9.117 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.117 * [backup-simplify]: Simplify (+ 1 0) into 1 9.117 * [backup-simplify]: Simplify (/ PI 1) into PI 9.117 * [taylor]: Taking taylor expansion of PI in a 9.117 * [backup-simplify]: Simplify PI into PI 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.118 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 9.118 * [taylor]: Taking taylor expansion of (- (/ PI a)) in a 9.118 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.118 * [taylor]: Taking taylor expansion of PI in a 9.118 * [backup-simplify]: Simplify PI into PI 9.118 * [taylor]: Taking taylor expansion of a in a 9.118 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [backup-simplify]: Simplify (/ PI 1) into PI 9.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.120 * [backup-simplify]: Simplify (- 0) into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.121 * [backup-simplify]: Simplify (+ 0 0) into 0 9.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 9.122 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.122 * [taylor]: Taking taylor expansion of PI in a 9.122 * [backup-simplify]: Simplify PI into PI 9.122 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.122 * [taylor]: Taking taylor expansion of a in a 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (* 1 1) into 1 9.123 * [backup-simplify]: Simplify (/ PI 1) into PI 9.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.127 * [backup-simplify]: Simplify (- 0) into 0 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) 9.127 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.127 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 9.127 * [taylor]: Taking taylor expansion of -1 in a 9.127 * [backup-simplify]: Simplify -1 into -1 9.127 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 9.127 * [taylor]: Taking taylor expansion of PI in a 9.127 * [backup-simplify]: Simplify PI into PI 9.127 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.127 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.127 * [taylor]: Taking taylor expansion of b in a 9.127 * [backup-simplify]: Simplify b into b 9.127 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.127 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.127 * [taylor]: Taking taylor expansion of a in a 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.128 * [backup-simplify]: Simplify (+ 0 1) into 1 9.128 * [backup-simplify]: Simplify (/ PI 1) into PI 9.128 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 9.128 * [taylor]: Taking taylor expansion of -1 in b 9.128 * [backup-simplify]: Simplify -1 into -1 9.128 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.128 * [taylor]: Taking taylor expansion of PI in b 9.128 * [backup-simplify]: Simplify PI into PI 9.128 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.128 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.128 * [taylor]: Taking taylor expansion of b in b 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (/ 1 1) into 1 9.129 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.129 * [taylor]: Taking taylor expansion of a in b 9.129 * [backup-simplify]: Simplify a into a 9.129 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.129 * [backup-simplify]: Simplify (+ 1 0) into 1 9.129 * [backup-simplify]: Simplify (/ PI 1) into PI 9.129 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 9.129 * [taylor]: Taking taylor expansion of -1 in b 9.129 * [backup-simplify]: Simplify -1 into -1 9.129 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.129 * [taylor]: Taking taylor expansion of PI in b 9.129 * [backup-simplify]: Simplify PI into PI 9.129 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.129 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.129 * [taylor]: Taking taylor expansion of b in b 9.129 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify (/ 1 1) into 1 9.130 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.130 * [taylor]: Taking taylor expansion of a in b 9.130 * [backup-simplify]: Simplify a into a 9.130 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.130 * [backup-simplify]: Simplify (+ 1 0) into 1 9.130 * [backup-simplify]: Simplify (/ PI 1) into PI 9.131 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.131 * [taylor]: Taking taylor expansion of (* -1 PI) in a 9.131 * [taylor]: Taking taylor expansion of -1 in a 9.131 * [backup-simplify]: Simplify -1 into -1 9.131 * [taylor]: Taking taylor expansion of PI in a 9.131 * [backup-simplify]: Simplify PI into PI 9.131 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 9.133 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI a))) (* 0 PI)) into (/ PI a) 9.133 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.133 * [taylor]: Taking taylor expansion of PI in a 9.133 * [backup-simplify]: Simplify PI into PI 9.133 * [taylor]: Taking taylor expansion of a in a 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (/ PI 1) into PI 9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 9.138 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (/ PI (pow a 2))) 9.138 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 9.138 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.138 * [taylor]: Taking taylor expansion of PI in a 9.138 * [backup-simplify]: Simplify PI into PI 9.139 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.139 * [taylor]: Taking taylor expansion of a in a 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (* 1 1) into 1 9.140 * [backup-simplify]: Simplify (/ PI 1) into PI 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.146 * [backup-simplify]: Simplify (- 0) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.149 * [backup-simplify]: Simplify (/ (/ (* (/ PI (+ b a)) (- b a)) (* a b)) (* 2 (- b a))) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 9.149 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (b a) around 0 9.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 9.149 * [taylor]: Taking taylor expansion of 1/2 in a 9.149 * [backup-simplify]: Simplify 1/2 into 1/2 9.149 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 9.149 * [taylor]: Taking taylor expansion of PI in a 9.149 * [backup-simplify]: Simplify PI into PI 9.149 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 9.149 * [taylor]: Taking taylor expansion of a in a 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.149 * [taylor]: Taking taylor expansion of (+ a b) in a 9.149 * [taylor]: Taking taylor expansion of a in a 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [taylor]: Taking taylor expansion of b in a 9.149 * [backup-simplify]: Simplify b into b 9.149 * [taylor]: Taking taylor expansion of b in a 9.149 * [backup-simplify]: Simplify b into b 9.149 * [backup-simplify]: Simplify (+ 0 b) into b 9.149 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.149 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 9.150 * [backup-simplify]: Simplify (+ 1 0) into 1 9.150 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.150 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 9.150 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 9.150 * [taylor]: Taking taylor expansion of 1/2 in b 9.150 * [backup-simplify]: Simplify 1/2 into 1/2 9.150 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 9.150 * [taylor]: Taking taylor expansion of PI in b 9.150 * [backup-simplify]: Simplify PI into PI 9.150 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 9.150 * [taylor]: Taking taylor expansion of a in b 9.150 * [backup-simplify]: Simplify a into a 9.150 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 9.150 * [taylor]: Taking taylor expansion of (+ a b) in b 9.150 * [taylor]: Taking taylor expansion of a in b 9.150 * [backup-simplify]: Simplify a into a 9.150 * [taylor]: Taking taylor expansion of b in b 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 1 into 1 9.150 * [taylor]: Taking taylor expansion of b in b 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 1 into 1 9.151 * [backup-simplify]: Simplify (+ a 0) into a 9.151 * [backup-simplify]: Simplify (* a 0) into 0 9.151 * [backup-simplify]: Simplify (* a 0) into 0 9.151 * [backup-simplify]: Simplify (+ 0 1) into 1 9.152 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 9.152 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 9.152 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 9.152 * [taylor]: Taking taylor expansion of 1/2 in b 9.152 * [backup-simplify]: Simplify 1/2 into 1/2 9.152 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 9.152 * [taylor]: Taking taylor expansion of PI in b 9.152 * [backup-simplify]: Simplify PI into PI 9.152 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 9.152 * [taylor]: Taking taylor expansion of a in b 9.152 * [backup-simplify]: Simplify a into a 9.152 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 9.152 * [taylor]: Taking taylor expansion of (+ a b) in b 9.152 * [taylor]: Taking taylor expansion of a in b 9.152 * [backup-simplify]: Simplify a into a 9.152 * [taylor]: Taking taylor expansion of b in b 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [taylor]: Taking taylor expansion of b in b 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (+ a 0) into a 9.153 * [backup-simplify]: Simplify (* a 0) into 0 9.153 * [backup-simplify]: Simplify (* a 0) into 0 9.153 * [backup-simplify]: Simplify (+ 0 1) into 1 9.154 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 9.154 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 9.155 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.155 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 9.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 9.155 * [taylor]: Taking taylor expansion of 1/2 in a 9.155 * [backup-simplify]: Simplify 1/2 into 1/2 9.155 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.155 * [taylor]: Taking taylor expansion of PI in a 9.155 * [backup-simplify]: Simplify PI into PI 9.155 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.155 * [taylor]: Taking taylor expansion of a in a 9.155 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify 1 into 1 9.155 * [backup-simplify]: Simplify (* 1 1) into 1 9.156 * [backup-simplify]: Simplify (/ PI 1) into PI 9.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify (+ 0 0) into 0 9.159 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 9.160 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 9.160 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 9.160 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 1/2 (/ PI (pow a 3)))) 9.160 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 9.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 9.160 * [taylor]: Taking taylor expansion of 1/2 in a 9.160 * [backup-simplify]: Simplify 1/2 into 1/2 9.160 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.161 * [taylor]: Taking taylor expansion of PI in a 9.161 * [backup-simplify]: Simplify PI into PI 9.161 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.161 * [taylor]: Taking taylor expansion of a in a 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.162 * [backup-simplify]: Simplify (/ PI 1) into PI 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.168 * [backup-simplify]: Simplify (- 0) into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.173 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 9.173 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 9.173 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 1/2 (/ PI (pow a 4))) 9.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 9.173 * [taylor]: Taking taylor expansion of 1/2 in a 9.173 * [backup-simplify]: Simplify 1/2 into 1/2 9.173 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 9.173 * [taylor]: Taking taylor expansion of PI in a 9.173 * [backup-simplify]: Simplify PI into PI 9.173 * [taylor]: Taking taylor expansion of (pow a 4) in a 9.173 * [taylor]: Taking taylor expansion of a in a 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (* 1 1) into 1 9.174 * [backup-simplify]: Simplify (* 1 1) into 1 9.174 * [backup-simplify]: Simplify (/ PI 1) into PI 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.180 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.183 * [backup-simplify]: Simplify (- 0) into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (/ (/ (* (/ PI (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) (* (/ 1 a) (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) 9.185 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 9.185 * [taylor]: Taking taylor expansion of 1/2 in a 9.185 * [backup-simplify]: Simplify 1/2 into 1/2 9.185 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 9.185 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.185 * [taylor]: Taking taylor expansion of a in a 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of (* PI b) in a 9.185 * [taylor]: Taking taylor expansion of PI in a 9.185 * [backup-simplify]: Simplify PI into PI 9.185 * [taylor]: Taking taylor expansion of b in a 9.186 * [backup-simplify]: Simplify b into b 9.186 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.186 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.186 * [taylor]: Taking taylor expansion of b in a 9.186 * [backup-simplify]: Simplify b into b 9.186 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.186 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.186 * [taylor]: Taking taylor expansion of a in a 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (/ 1 1) into 1 9.186 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.186 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.186 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.187 * [backup-simplify]: Simplify (+ 0 1) into 1 9.187 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 9.187 * [taylor]: Taking taylor expansion of 1/2 in b 9.187 * [backup-simplify]: Simplify 1/2 into 1/2 9.187 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 9.187 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.187 * [taylor]: Taking taylor expansion of a in b 9.187 * [backup-simplify]: Simplify a into a 9.187 * [taylor]: Taking taylor expansion of (* PI b) in b 9.187 * [taylor]: Taking taylor expansion of PI in b 9.187 * [backup-simplify]: Simplify PI into PI 9.187 * [taylor]: Taking taylor expansion of b in b 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 1 into 1 9.187 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.187 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.187 * [taylor]: Taking taylor expansion of b in b 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 1 into 1 9.187 * [backup-simplify]: Simplify (/ 1 1) into 1 9.188 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.188 * [taylor]: Taking taylor expansion of a in b 9.188 * [backup-simplify]: Simplify a into a 9.188 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.188 * [backup-simplify]: Simplify (* PI 0) into 0 9.188 * [backup-simplify]: Simplify (* a 0) into 0 9.189 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.189 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.189 * [backup-simplify]: Simplify (+ 1 0) into 1 9.189 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.189 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 9.190 * [taylor]: Taking taylor expansion of 1/2 in b 9.190 * [backup-simplify]: Simplify 1/2 into 1/2 9.190 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 9.190 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.190 * [taylor]: Taking taylor expansion of a in b 9.190 * [backup-simplify]: Simplify a into a 9.190 * [taylor]: Taking taylor expansion of (* PI b) in b 9.190 * [taylor]: Taking taylor expansion of PI in b 9.190 * [backup-simplify]: Simplify PI into PI 9.190 * [taylor]: Taking taylor expansion of b in b 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.190 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.190 * [taylor]: Taking taylor expansion of b in b 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [backup-simplify]: Simplify (/ 1 1) into 1 9.190 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.190 * [taylor]: Taking taylor expansion of a in b 9.190 * [backup-simplify]: Simplify a into a 9.190 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.190 * [backup-simplify]: Simplify (* PI 0) into 0 9.190 * [backup-simplify]: Simplify (* a 0) into 0 9.191 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.192 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.192 * [backup-simplify]: Simplify (+ 1 0) into 1 9.192 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.192 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 9.192 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 9.192 * [taylor]: Taking taylor expansion of 1/2 in a 9.192 * [backup-simplify]: Simplify 1/2 into 1/2 9.192 * [taylor]: Taking taylor expansion of (* a PI) in a 9.192 * [taylor]: Taking taylor expansion of a in a 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [taylor]: Taking taylor expansion of PI in a 9.192 * [backup-simplify]: Simplify PI into PI 9.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.194 * [backup-simplify]: Simplify (* 0 PI) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.196 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.196 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 9.202 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* a PI))) into (- (* 1/2 PI)) 9.202 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 9.202 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 9.202 * [taylor]: Taking taylor expansion of 1/2 in a 9.202 * [backup-simplify]: Simplify 1/2 into 1/2 9.203 * [taylor]: Taking taylor expansion of PI in a 9.203 * [backup-simplify]: Simplify PI into PI 9.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.204 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.209 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 9.212 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 1/2 (/ PI a)) 9.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 9.212 * [taylor]: Taking taylor expansion of 1/2 in a 9.212 * [backup-simplify]: Simplify 1/2 into 1/2 9.212 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.212 * [taylor]: Taking taylor expansion of PI in a 9.212 * [backup-simplify]: Simplify PI into PI 9.212 * [taylor]: Taking taylor expansion of a in a 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 1 into 1 9.213 * [backup-simplify]: Simplify (/ PI 1) into PI 9.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.218 * [backup-simplify]: Simplify (- 0) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify (/ (/ (* (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (/ 1 (- a)) (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) 9.220 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.220 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 9.220 * [taylor]: Taking taylor expansion of -1/2 in a 9.220 * [backup-simplify]: Simplify -1/2 into -1/2 9.220 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 9.220 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 9.220 * [taylor]: Taking taylor expansion of a in a 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [taylor]: Taking taylor expansion of (* PI b) in a 9.220 * [taylor]: Taking taylor expansion of PI in a 9.220 * [backup-simplify]: Simplify PI into PI 9.220 * [taylor]: Taking taylor expansion of b in a 9.220 * [backup-simplify]: Simplify b into b 9.220 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.220 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.220 * [taylor]: Taking taylor expansion of b in a 9.220 * [backup-simplify]: Simplify b into b 9.220 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.220 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.220 * [taylor]: Taking taylor expansion of a in a 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.221 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 9.221 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 9.222 * [backup-simplify]: Simplify (+ 0 1) into 1 9.222 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.222 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 9.222 * [taylor]: Taking taylor expansion of -1/2 in b 9.222 * [backup-simplify]: Simplify -1/2 into -1/2 9.222 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 9.222 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.222 * [taylor]: Taking taylor expansion of a in b 9.222 * [backup-simplify]: Simplify a into a 9.222 * [taylor]: Taking taylor expansion of (* PI b) in b 9.222 * [taylor]: Taking taylor expansion of PI in b 9.222 * [backup-simplify]: Simplify PI into PI 9.222 * [taylor]: Taking taylor expansion of b in b 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.222 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.222 * [taylor]: Taking taylor expansion of b in b 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (/ 1 1) into 1 9.222 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.222 * [taylor]: Taking taylor expansion of a in b 9.222 * [backup-simplify]: Simplify a into a 9.222 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.223 * [backup-simplify]: Simplify (* PI 0) into 0 9.223 * [backup-simplify]: Simplify (* a 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.224 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.224 * [backup-simplify]: Simplify (+ 1 0) into 1 9.224 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.224 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 9.224 * [taylor]: Taking taylor expansion of -1/2 in b 9.224 * [backup-simplify]: Simplify -1/2 into -1/2 9.224 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 9.224 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 9.224 * [taylor]: Taking taylor expansion of a in b 9.224 * [backup-simplify]: Simplify a into a 9.224 * [taylor]: Taking taylor expansion of (* PI b) in b 9.224 * [taylor]: Taking taylor expansion of PI in b 9.224 * [backup-simplify]: Simplify PI into PI 9.224 * [taylor]: Taking taylor expansion of b in b 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.224 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.224 * [taylor]: Taking taylor expansion of b in b 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.225 * [backup-simplify]: Simplify (/ 1 1) into 1 9.225 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.225 * [taylor]: Taking taylor expansion of a in b 9.225 * [backup-simplify]: Simplify a into a 9.225 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.225 * [backup-simplify]: Simplify (* PI 0) into 0 9.225 * [backup-simplify]: Simplify (* a 0) into 0 9.226 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.226 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 9.227 * [backup-simplify]: Simplify (+ 1 0) into 1 9.227 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.227 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 9.227 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 9.227 * [taylor]: Taking taylor expansion of -1/2 in a 9.227 * [backup-simplify]: Simplify -1/2 into -1/2 9.227 * [taylor]: Taking taylor expansion of (* a PI) in a 9.227 * [taylor]: Taking taylor expansion of a in a 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [taylor]: Taking taylor expansion of PI in a 9.227 * [backup-simplify]: Simplify PI into PI 9.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.229 * [backup-simplify]: Simplify (* 0 PI) into 0 9.230 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.231 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.231 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 9.232 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* a PI))) into (* 1/2 PI) 9.232 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 9.232 * [taylor]: Taking taylor expansion of 1/2 in a 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of PI in a 9.232 * [backup-simplify]: Simplify PI into PI 9.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.233 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.234 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.236 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 9.240 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 1/2 (/ PI a))) 9.240 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 9.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 9.240 * [taylor]: Taking taylor expansion of 1/2 in a 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.240 * [taylor]: Taking taylor expansion of PI in a 9.240 * [backup-simplify]: Simplify PI into PI 9.241 * [taylor]: Taking taylor expansion of a in a 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (/ PI 1) into PI 9.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.246 * [backup-simplify]: Simplify (- 0) into 0 9.246 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.247 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.250 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * * * [progress]: simplifying candidates 9.251 * * * * [progress]: [ 1 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 2 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 3 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 4 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 5 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 6 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 7 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 8 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 9 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 10 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 11 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 12 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 13 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 14 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 15 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 16 / 178 ] simplifiying candidate # 9.251 * * * * [progress]: [ 17 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 18 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 19 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 20 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 21 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 22 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 23 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 24 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 25 / 178 ] 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9.252 * * * * [progress]: [ 40 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 41 / 178 ] simplifiying candidate # 9.252 * * * * [progress]: [ 42 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 43 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 44 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 45 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 46 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 47 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 48 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 49 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 50 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 51 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 52 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 53 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 54 / 178 ] simplifiying candidate # 9.253 * * * * [progress]: [ 55 / 178 ] 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178 ] simplifiying candidate # 9.255 * * * * [progress]: [ 116 / 178 ] simplifiying candidate # 9.255 * * * * [progress]: [ 117 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 118 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 119 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 120 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 121 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 122 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 123 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 124 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 125 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 126 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 127 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 128 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 129 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 130 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 131 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 132 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 133 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 134 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 135 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 136 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 137 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 138 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 139 / 178 ] simplifiying candidate # 9.256 * * * * [progress]: [ 140 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 141 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 142 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 143 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 144 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 145 / 178 ] simplifiying candidate # 9.257 * * * * 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simplifiying candidate # 9.257 * * * * [progress]: [ 162 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 163 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 164 / 178 ] simplifiying candidate # 9.257 * * * * [progress]: [ 165 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 166 / 178 ] simplifiying candidate #real (real->posit16 (/ (/ (* (/ PI (+ b a)) (- b a)) (* a b)) (* 2 (- b a))))))> 9.258 * * * * [progress]: [ 167 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 168 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 169 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 170 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 171 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 172 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 173 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 174 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 175 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 176 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 177 / 178 ] simplifiying candidate # 9.258 * * * * [progress]: [ 178 / 178 ] simplifiying candidate # 9.260 * [simplify]: Simplifying: (- (+ (- (log PI) (log (+ b a))) (log (- b a))) (+ (log a) (log b))) (- (+ (- (log PI) (log (+ b a))) (log (- b a))) (log (* a b))) (- (+ (log (/ PI (+ b a))) (log (- b a))) (+ (log a) (log b))) (- (+ (log (/ PI (+ b a))) (log (- b a))) (log (* a b))) (- (log (* (/ PI (+ b a)) (- b a))) (+ (log a) (log b))) (- (log (* (/ PI (+ b a)) (- b a))) (log (* a b))) (log (/ (* (/ PI (+ b a)) (- b a)) (* a b))) (exp (/ (* (/ PI (+ b a)) (- b a)) (* a b))) (/ (* (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (- b a) (- b a)) (- b a))) (* (* (* a a) a) (* (* b b) b))) (/ (* (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (- b a) (- b a)) (- b a))) (* (* (* a b) (* a b)) (* a b))) (/ (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ 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9.368 * * [simplify]: iteration 1: 695 enodes 9.539 * * [simplify]: iteration 2: 2002 enodes 9.975 * * [simplify]: iteration complete: 2002 enodes 9.976 * * [simplify]: Extracting #0: cost 143 inf + 0 9.979 * * [simplify]: Extracting #1: cost 678 inf + 86 9.988 * * [simplify]: Extracting #2: cost 884 inf + 17031 10.013 * * [simplify]: Extracting #3: cost 505 inf + 104121 10.058 * * [simplify]: Extracting #4: cost 104 inf + 218425 10.136 * * [simplify]: Extracting #5: cost 4 inf + 246448 10.195 * * [simplify]: Extracting #6: cost 2 inf + 245626 10.259 * * [simplify]: Extracting #7: cost 0 inf + 246132 10.319 * [simplify]: Simplified to: (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (log (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (exp (/ (/ (/ PI (+ a b)) (/ a (- b a))) 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(- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (exp (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (/ (/ (/ (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* a a)) (/ (* (* (- b a) (- b a)) (- b a)) a)) (* (* b b) b)) 8) (* (* (- b a) (- b a)) (- b a))) (/ (/ (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* a a)) (/ (* (* (- b a) (- b a)) (- b a)) a)) (* (* b b) b)) (* (* 2 (- b a)) (* (* 2 (- b a)) (* 2 (- b a))))) (* (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* b a) (* b a))) (* (* (- b a) (- b a)) (- b a))) (/ (/ (* (* (- b a) (- b a)) (- b a)) (* b a)) 8)) (* (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* b a) (* b a))) (* (* 2 (- b a)) (* 2 (- b a)))) (/ (/ (* (* (- b a) (- b a)) (- b a)) (* b a)) (* 2 (- b a)))) (/ (/ (/ (* (/ (* (/ PI (+ a b)) (/ PI (+ a b))) (* a a)) (/ (* (/ PI (+ a b)) (* (* (- b a) (- b a)) (- b a))) a)) (* (* b b) b)) 8) (* (* (- b a) (- b a)) (- b a))) (* (/ (* (* (/ PI (+ a b)) (* (/ PI (+ a b)) (/ PI (+ a b)))) (* (- b a) (- b a))) (* (* 2 (- b a)) (* (* 2 (- b a)) (* 2 (- b a))))) (/ (- b a) (* (* (* b b) b) (* a (* a a))))) (* (/ (* (/ (* (/ PI (+ a b)) (/ PI (+ a b))) (* b a)) (/ (/ PI (+ a b)) (* b a))) (* (* (- b a) (- b a)) (- b a))) (/ (/ (* (* (- b a) (- b a)) (- b a)) (* b a)) 8)) (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* 2 (- b a)) (* (* 2 (- b a)) (* 2 (- b a))))) (/ (* (/ PI (+ a b)) (* (/ PI (+ a b)) (/ PI (+ a b)))) (* (* (* b a) (* b a)) (* b a)))) (/ (* (/ (* (* (/ PI (+ a b)) (- b a)) (* (/ PI (+ a b)) (- b a))) (* a (* a a))) (/ (* (/ PI (+ a b)) (- b a)) (* (* b b) b))) (* (* 8 (* (- b a) (- b a))) (- b a))) (* (/ (* (/ PI (+ a b)) (- b a)) (* (* 2 (- b a)) (* (* 2 (- b a)) (* 2 (- b a))))) (/ (* (* (/ PI (+ a b)) (- b a)) (* (/ PI (+ a b)) (- b a))) (* (* (* b b) b) (* a (* a a))))) (/ (* (/ (* (/ PI (+ a b)) (- b a)) (* b a)) (* (/ (* (/ PI (+ a b)) (- b a)) (* b a)) (/ (* (/ PI (+ a b)) (- b a)) (* b a)))) (* (* 8 (* (- b a) (- b a))) (- b a))) (/ (* (/ (* (/ PI (+ a b)) (- b a)) (* b a)) (* (/ (* (/ PI (+ a b)) (- b a)) (* b a)) (/ (* (/ PI (+ a b)) (- b a)) (* b a)))) (* (* 2 (- b a)) (* (* 2 (- b a)) (* 2 (- b a))))) (/ (* (/ (/ (/ PI (+ a b)) (/ a (- b a))) b) (* (/ (/ (/ PI (+ a b)) (/ a (- b a))) b) (/ (/ (/ PI (+ a b)) (/ a (- b a))) b))) (* (* 8 (* (- b a) (- b a))) (- b a))) (* (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)) (* (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)) (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)))) (* (cbrt (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (cbrt (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)))) (cbrt (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (* (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)) (* (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)) (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a)))) (sqrt (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (sqrt (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (* (/ (/ PI (+ a b)) a) (- (/ (- b a) b))) (* -2 (- b a)) (/ (* (cbrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (cbrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b))) 2) (/ (cbrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (- b a)) (/ (sqrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) 2) (/ (sqrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (- b a)) (/ (/ PI (+ a b)) (* 2 a)) (/ (- b a) (* (- b a) b)) 1/2 (/ (* (/ PI (+ a b)) (- b a)) (* (- b a) (* b a))) (/ (/ PI (+ a b)) (/ 2 (- b a))) (/ (/ (/ 1 a) b) (- b a)) (/ 1/2 (- b a)) (/ 2 (/ (* (/ PI (+ a b)) (- b a)) (* (- b a) (* b a)))) (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (/ 2 (/ (cbrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (- b a))) (/ 2 (/ (sqrt (/ (/ (/ PI (+ a b)) (/ a (- b a))) b)) (- b a))) (/ (* 2 (- b a)) (/ (- b a) b)) (/ 2 (/ (* (/ PI (+ a b)) (- b a)) (* (- b a) (* b a)))) (* 2 (* (- b a) (* b a))) (* (/ (- b a) (* 2 (- (* (* b b) b) (* a (* a a))))) (/ (/ PI (+ a b)) (* b a))) (/ (* (/ PI (+ a b)) (- b a)) (* (* (* (+ a b) (- b a)) 2) (* b a))) (* 2 (* (- b a) (* b a))) (real->posit16 (/ (* (/ (/ PI (+ a b)) 2) (/ (- b a) (* b a))) (- b a))) (/ (- (/ PI a)) b) (/ PI (* b a)) (/ PI (* b a)) (- PI) PI PI 0 0 0 0 0 0 10.344 * * * [progress]: adding candidates to table 12.128 * * [progress]: iteration 4 / 4 12.128 * * * [progress]: picking best candidate 12.156 * * * * [pick]: Picked # 12.156 * * * [progress]: localizing error 12.188 * * * [progress]: generating rewritten candidates 12.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 12.216 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 12.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 12.282 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.326 * * * [progress]: generating series expansions 12.326 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 12.326 * [backup-simplify]: Simplify (/ (* PI (/ (- b a) (+ a b))) (* a b)) into (/ (* (- b a) PI) (* a (* (+ a b) b))) 12.326 * [approximate]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in (b a) around 0 12.326 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in a 12.326 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 12.326 * [taylor]: Taking taylor expansion of (- b a) in a 12.326 * [taylor]: Taking taylor expansion of b in a 12.326 * [backup-simplify]: Simplify b into b 12.326 * [taylor]: Taking taylor expansion of a in a 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.327 * [taylor]: Taking taylor expansion of PI in a 12.327 * [backup-simplify]: Simplify PI into PI 12.327 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 12.327 * [taylor]: Taking taylor expansion of a in a 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 1 into 1 12.327 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 12.327 * [taylor]: Taking taylor expansion of (+ a b) in a 12.327 * [taylor]: Taking taylor expansion of a in a 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 1 into 1 12.327 * [taylor]: Taking taylor expansion of b in a 12.327 * [backup-simplify]: Simplify b into b 12.327 * [taylor]: Taking taylor expansion of b in a 12.327 * [backup-simplify]: Simplify b into b 12.328 * [backup-simplify]: Simplify (- 0) into 0 12.328 * [backup-simplify]: Simplify (+ b 0) into b 12.328 * [backup-simplify]: Simplify (* b PI) into (* PI b) 12.328 * [backup-simplify]: Simplify (+ 0 b) into b 12.328 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.328 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 12.329 * [backup-simplify]: Simplify (+ 1 0) into 1 12.329 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 12.329 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 12.329 * [backup-simplify]: Simplify (/ (* PI b) (pow b 2)) into (/ PI b) 12.329 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 12.329 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 12.329 * [taylor]: Taking taylor expansion of (- b a) in b 12.329 * [taylor]: Taking taylor expansion of b in b 12.329 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify 1 into 1 12.329 * [taylor]: Taking taylor expansion of a in b 12.329 * [backup-simplify]: Simplify a into a 12.329 * [taylor]: Taking taylor expansion of PI in b 12.329 * [backup-simplify]: Simplify PI into PI 12.329 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 12.329 * [taylor]: Taking taylor expansion of a in b 12.329 * [backup-simplify]: Simplify a into a 12.329 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 12.329 * [taylor]: Taking taylor expansion of (+ a b) in b 12.329 * [taylor]: Taking taylor expansion of a in b 12.329 * [backup-simplify]: Simplify a into a 12.329 * [taylor]: Taking taylor expansion of b in b 12.329 * [backup-simplify]: Simplify 0 into 0 12.329 * [backup-simplify]: Simplify 1 into 1 12.329 * [taylor]: Taking taylor expansion of b in b 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 1 into 1 12.330 * [backup-simplify]: Simplify (- a) into (- a) 12.330 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.330 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 12.330 * [backup-simplify]: Simplify (+ a 0) into a 12.330 * [backup-simplify]: Simplify (* a 0) into 0 12.330 * [backup-simplify]: Simplify (* a 0) into 0 12.330 * [backup-simplify]: Simplify (+ 0 1) into 1 12.331 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 12.331 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 12.331 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 12.331 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 12.332 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 12.332 * [taylor]: Taking taylor expansion of (- b a) in b 12.332 * [taylor]: Taking taylor expansion of b in b 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [taylor]: Taking taylor expansion of a in b 12.332 * [backup-simplify]: Simplify a into a 12.332 * [taylor]: Taking taylor expansion of PI in b 12.332 * [backup-simplify]: Simplify PI into PI 12.332 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 12.332 * [taylor]: Taking taylor expansion of a in b 12.332 * [backup-simplify]: Simplify a into a 12.332 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 12.332 * [taylor]: Taking taylor expansion of (+ a b) in b 12.332 * [taylor]: Taking taylor expansion of a in b 12.332 * [backup-simplify]: Simplify a into a 12.332 * [taylor]: Taking taylor expansion of b in b 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [taylor]: Taking taylor expansion of b in b 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [backup-simplify]: Simplify (- a) into (- a) 12.332 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.332 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 12.332 * [backup-simplify]: Simplify (+ a 0) into a 12.332 * [backup-simplify]: Simplify (* a 0) into 0 12.332 * [backup-simplify]: Simplify (* a 0) into 0 12.333 * [backup-simplify]: Simplify (+ 0 1) into 1 12.333 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 12.334 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 12.334 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 12.334 * [taylor]: Taking taylor expansion of (* -1 (/ PI a)) in a 12.334 * [taylor]: Taking taylor expansion of -1 in a 12.334 * [backup-simplify]: Simplify -1 into -1 12.334 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.334 * [taylor]: Taking taylor expansion of PI in a 12.334 * [backup-simplify]: Simplify PI into PI 12.334 * [taylor]: Taking taylor expansion of a in a 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.335 * [backup-simplify]: Simplify (/ PI 1) into PI 12.336 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.336 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.336 * [backup-simplify]: Simplify (- 0) into 0 12.337 * [backup-simplify]: Simplify (+ 1 0) into 1 12.337 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 12.338 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 12.339 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 12.339 * [backup-simplify]: Simplify (- (/ PI (pow a 2)) (+ (* (* -1 (/ PI a)) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 2))) 12.339 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.339 * [taylor]: Taking taylor expansion of 2 in a 12.339 * [backup-simplify]: Simplify 2 into 2 12.339 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.339 * [taylor]: Taking taylor expansion of PI in a 12.339 * [backup-simplify]: Simplify PI into PI 12.339 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.339 * [taylor]: Taking taylor expansion of a in a 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.340 * [backup-simplify]: Simplify (* 1 1) into 1 12.340 * [backup-simplify]: Simplify (/ PI 1) into PI 12.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.342 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.345 * [backup-simplify]: Simplify (+ 0 0) into 0 12.346 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 12.346 * [backup-simplify]: Simplify (+ 0 0) into 0 12.347 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.348 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 12.348 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ a (pow a 2))))) into (- (* 2 (/ PI (pow a 3)))) 12.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 12.348 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 12.348 * [taylor]: Taking taylor expansion of 2 in a 12.348 * [backup-simplify]: Simplify 2 into 2 12.348 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.348 * [taylor]: Taking taylor expansion of PI in a 12.348 * [backup-simplify]: Simplify PI into PI 12.349 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.349 * [taylor]: Taking taylor expansion of a in a 12.349 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify 1 into 1 12.349 * [backup-simplify]: Simplify (* 1 1) into 1 12.349 * [backup-simplify]: Simplify (* 1 1) into 1 12.350 * [backup-simplify]: Simplify (/ PI 1) into PI 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.356 * [backup-simplify]: Simplify (- 0) into 0 12.356 * [backup-simplify]: Simplify 0 into 0 12.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 12.361 * [backup-simplify]: Simplify 0 into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.363 * [backup-simplify]: Simplify (+ 0 0) into 0 12.364 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.365 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 a) (* 0 0))))) into 0 12.365 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ 0 (pow a 2))) (* (- (* 2 (/ PI (pow a 3)))) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 4))) 12.365 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 4))) in a 12.365 * [taylor]: Taking taylor expansion of 2 in a 12.365 * [backup-simplify]: Simplify 2 into 2 12.365 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 12.365 * [taylor]: Taking taylor expansion of PI in a 12.365 * [backup-simplify]: Simplify PI into PI 12.365 * [taylor]: Taking taylor expansion of (pow a 4) in a 12.365 * [taylor]: Taking taylor expansion of a in a 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [backup-simplify]: Simplify (* 1 1) into 1 12.366 * [backup-simplify]: Simplify (* 1 1) into 1 12.367 * [backup-simplify]: Simplify (/ PI 1) into PI 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify (* (* -1 PI) (* (/ 1 a) (/ 1 b))) into (* -1 (/ PI (* a b))) 12.378 * [backup-simplify]: Simplify (/ (* PI (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) into (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) 12.378 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in (b a) around 0 12.378 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in a 12.378 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in a 12.378 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.378 * [taylor]: Taking taylor expansion of b in a 12.378 * [backup-simplify]: Simplify b into b 12.379 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.379 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.379 * [taylor]: Taking taylor expansion of a in a 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.379 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [taylor]: Taking taylor expansion of (* b (* PI a)) in a 12.379 * [taylor]: Taking taylor expansion of b in a 12.379 * [backup-simplify]: Simplify b into b 12.379 * [taylor]: Taking taylor expansion of (* PI a) in a 12.379 * [taylor]: Taking taylor expansion of PI in a 12.379 * [backup-simplify]: Simplify PI into PI 12.379 * [taylor]: Taking taylor expansion of a in a 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.379 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.379 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.379 * [taylor]: Taking taylor expansion of a in a 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.380 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.380 * [taylor]: Taking taylor expansion of b in a 12.380 * [backup-simplify]: Simplify b into b 12.380 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.380 * [backup-simplify]: Simplify (- 1) into -1 12.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.381 * [backup-simplify]: Simplify (* PI 0) into 0 12.381 * [backup-simplify]: Simplify (* b 0) into 0 12.382 * [backup-simplify]: Simplify (* -1 0) into 0 12.383 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.384 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (- 0) into 0 12.385 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 12.385 * [backup-simplify]: Simplify (+ (* -1 (* b PI)) (* (/ 1 b) 0)) into (- (* b PI)) 12.385 * [backup-simplify]: Simplify (+ 1 0) into 1 12.385 * [backup-simplify]: Simplify (/ (- (* b PI)) 1) into (* -1 (* PI b)) 12.385 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in b 12.385 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in b 12.386 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.386 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.386 * [taylor]: Taking taylor expansion of b in b 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [backup-simplify]: Simplify (/ 1 1) into 1 12.386 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.386 * [taylor]: Taking taylor expansion of a in b 12.386 * [backup-simplify]: Simplify a into a 12.386 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.386 * [taylor]: Taking taylor expansion of (* b (* PI a)) in b 12.386 * [taylor]: Taking taylor expansion of b in b 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [taylor]: Taking taylor expansion of (* PI a) in b 12.386 * [taylor]: Taking taylor expansion of PI in b 12.386 * [backup-simplify]: Simplify PI into PI 12.386 * [taylor]: Taking taylor expansion of a in b 12.386 * [backup-simplify]: Simplify a into a 12.386 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.386 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.386 * [taylor]: Taking taylor expansion of a in b 12.386 * [backup-simplify]: Simplify a into a 12.386 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.386 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.387 * [taylor]: Taking taylor expansion of b in b 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.387 * [backup-simplify]: Simplify (+ 1 0) into 1 12.387 * [backup-simplify]: Simplify (* PI a) into (* a PI) 12.387 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 12.388 * [backup-simplify]: Simplify (* 1 0) into 0 12.388 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 a)) into 0 12.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 12.390 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 12.390 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 12.390 * [backup-simplify]: Simplify (+ 0 1) into 1 12.391 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.391 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in b 12.391 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in b 12.391 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.391 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.391 * [taylor]: Taking taylor expansion of b in b 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.391 * [taylor]: Taking taylor expansion of a in b 12.391 * [backup-simplify]: Simplify a into a 12.391 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.391 * [taylor]: Taking taylor expansion of (* b (* PI a)) in b 12.391 * [taylor]: Taking taylor expansion of b in b 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [taylor]: Taking taylor expansion of (* PI a) in b 12.391 * [taylor]: Taking taylor expansion of PI in b 12.391 * [backup-simplify]: Simplify PI into PI 12.391 * [taylor]: Taking taylor expansion of a in b 12.391 * [backup-simplify]: Simplify a into a 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.391 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.392 * [taylor]: Taking taylor expansion of a in b 12.392 * [backup-simplify]: Simplify a into a 12.392 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.392 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.392 * [taylor]: Taking taylor expansion of b in b 12.392 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify 1 into 1 12.392 * [backup-simplify]: Simplify (/ 1 1) into 1 12.392 * [backup-simplify]: Simplify (+ 1 0) into 1 12.393 * [backup-simplify]: Simplify (* PI a) into (* a PI) 12.393 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 12.393 * [backup-simplify]: Simplify (* 1 0) into 0 12.394 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 a)) into 0 12.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 12.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.395 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 12.395 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 12.395 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 12.396 * [backup-simplify]: Simplify (+ 0 1) into 1 12.396 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.396 * [taylor]: Taking taylor expansion of (* a PI) in a 12.396 * [taylor]: Taking taylor expansion of a in a 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [taylor]: Taking taylor expansion of PI in a 12.396 * [backup-simplify]: Simplify PI into PI 12.398 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.398 * [backup-simplify]: Simplify PI into PI 12.399 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 a))) into 0 12.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* a PI)))) into 0 12.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.401 * [backup-simplify]: Simplify (- 0) into 0 12.402 * [backup-simplify]: Simplify (+ 0 0) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (* a PI)) (* 0 0))) into (- PI) 12.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.404 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.405 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- (* 2 PI)) 12.405 * [taylor]: Taking taylor expansion of (- (* 2 PI)) in a 12.405 * [taylor]: Taking taylor expansion of (* 2 PI) in a 12.405 * [taylor]: Taking taylor expansion of 2 in a 12.405 * [backup-simplify]: Simplify 2 into 2 12.405 * [taylor]: Taking taylor expansion of PI in a 12.405 * [backup-simplify]: Simplify PI into PI 12.406 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.406 * [backup-simplify]: Simplify (- 0) into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.407 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 12.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 12.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.412 * [backup-simplify]: Simplify (- 0) into 0 12.413 * [backup-simplify]: Simplify (+ 0 0) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 (* a PI)) (* 0 0)))) into 0 12.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ 0 0) into 0 12.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 12.417 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 12.417 * [taylor]: Taking taylor expansion of 2 in a 12.417 * [backup-simplify]: Simplify 2 into 2 12.417 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.417 * [taylor]: Taking taylor expansion of PI in a 12.417 * [backup-simplify]: Simplify PI into PI 12.417 * [taylor]: Taking taylor expansion of a in a 12.417 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 1 into 1 12.418 * [backup-simplify]: Simplify (/ PI 1) into PI 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.423 * [backup-simplify]: Simplify (- 0) into 0 12.423 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI)))))) into 0 12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.429 * [backup-simplify]: Simplify (- 0) into 0 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 (* a PI)) (* 0 0))))) into 0 12.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 12.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 12.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.434 * [taylor]: Taking taylor expansion of 2 in a 12.434 * [backup-simplify]: Simplify 2 into 2 12.434 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.434 * [taylor]: Taking taylor expansion of PI in a 12.434 * [backup-simplify]: Simplify PI into PI 12.434 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.434 * [taylor]: Taking taylor expansion of a in a 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.435 * [backup-simplify]: Simplify (* 1 1) into 1 12.435 * [backup-simplify]: Simplify (/ PI 1) into PI 12.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (* PI (* (/ 1 a) (/ 1 b))) into (/ PI (* a b)) 12.444 * [backup-simplify]: Simplify (/ (* PI (/ (- (/ 1 (- b)) (/ 1 (- a))) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) 12.444 * [approximate]: Taking taylor expansion of (* -1 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.444 * [taylor]: Taking taylor expansion of (* -1 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in a 12.444 * [taylor]: Taking taylor expansion of -1 in a 12.444 * [backup-simplify]: Simplify -1 into -1 12.444 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in a 12.444 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in a 12.444 * [taylor]: Taking taylor expansion of b in a 12.444 * [backup-simplify]: Simplify b into b 12.444 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in a 12.444 * [taylor]: Taking taylor expansion of a in a 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 12.444 * [taylor]: Taking taylor expansion of PI in a 12.444 * [backup-simplify]: Simplify PI into PI 12.444 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.444 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.444 * [taylor]: Taking taylor expansion of a in a 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ 1 1) into 1 12.445 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.445 * [taylor]: Taking taylor expansion of b in a 12.445 * [backup-simplify]: Simplify b into b 12.445 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.445 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.445 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.445 * [taylor]: Taking taylor expansion of a in a 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [backup-simplify]: Simplify (/ 1 1) into 1 12.445 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.445 * [taylor]: Taking taylor expansion of b in a 12.445 * [backup-simplify]: Simplify b into b 12.445 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.446 * [backup-simplify]: Simplify (+ 1 0) into 1 12.446 * [backup-simplify]: Simplify (* PI 1) into PI 12.447 * [backup-simplify]: Simplify (* 0 PI) into 0 12.447 * [backup-simplify]: Simplify (* b 0) into 0 12.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 12.448 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 12.449 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 12.449 * [backup-simplify]: Simplify (+ (* 0 (- (/ PI b))) (* 1 PI)) into PI 12.450 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 12.450 * [backup-simplify]: Simplify (+ 1 0) into 1 12.450 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 12.450 * [taylor]: Taking taylor expansion of (* -1 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 12.450 * [taylor]: Taking taylor expansion of -1 in b 12.450 * [backup-simplify]: Simplify -1 into -1 12.450 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 12.450 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in b 12.450 * [taylor]: Taking taylor expansion of b in b 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 1 into 1 12.450 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in b 12.451 * [taylor]: Taking taylor expansion of a in b 12.451 * [backup-simplify]: Simplify a into a 12.451 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 12.451 * [taylor]: Taking taylor expansion of PI in b 12.451 * [backup-simplify]: Simplify PI into PI 12.451 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.451 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.451 * [taylor]: Taking taylor expansion of a in b 12.451 * [backup-simplify]: Simplify a into a 12.451 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.451 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.451 * [taylor]: Taking taylor expansion of b in b 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [backup-simplify]: Simplify (/ 1 1) into 1 12.451 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.451 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.451 * [taylor]: Taking taylor expansion of a in b 12.451 * [backup-simplify]: Simplify a into a 12.452 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.452 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.452 * [taylor]: Taking taylor expansion of b in b 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [backup-simplify]: Simplify (/ 1 1) into 1 12.452 * [backup-simplify]: Simplify (- 1) into -1 12.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.453 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 12.454 * [backup-simplify]: Simplify (* a (* -1 PI)) into (* -1 (* a PI)) 12.454 * [backup-simplify]: Simplify (* 0 (* -1 (* a PI))) into 0 12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (- 0) into 0 12.455 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.456 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 12.457 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (* 0 (* -1 PI))) into PI 12.457 * [backup-simplify]: Simplify (+ (* 0 PI) (* 1 (* -1 (* a PI)))) into (- (* a PI)) 12.458 * [backup-simplify]: Simplify (+ 0 1) into 1 12.458 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 12.458 * [taylor]: Taking taylor expansion of (* -1 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 12.458 * [taylor]: Taking taylor expansion of -1 in b 12.458 * [backup-simplify]: Simplify -1 into -1 12.458 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 12.458 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in b 12.458 * [taylor]: Taking taylor expansion of b in b 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify 1 into 1 12.458 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in b 12.458 * [taylor]: Taking taylor expansion of a in b 12.458 * [backup-simplify]: Simplify a into a 12.458 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 12.458 * [taylor]: Taking taylor expansion of PI in b 12.458 * [backup-simplify]: Simplify PI into PI 12.458 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.458 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.458 * [taylor]: Taking taylor expansion of a in b 12.458 * [backup-simplify]: Simplify a into a 12.459 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.459 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.459 * [taylor]: Taking taylor expansion of b in b 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.466 * [backup-simplify]: Simplify (/ 1 1) into 1 12.466 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.466 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.466 * [taylor]: Taking taylor expansion of a in b 12.466 * [backup-simplify]: Simplify a into a 12.466 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.466 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.466 * [taylor]: Taking taylor expansion of b in b 12.466 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (/ 1 1) into 1 12.468 * [backup-simplify]: Simplify (- 1) into -1 12.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.468 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 12.469 * [backup-simplify]: Simplify (* a (* -1 PI)) into (* -1 (* a PI)) 12.469 * [backup-simplify]: Simplify (* 0 (* -1 (* a PI))) into 0 12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.470 * [backup-simplify]: Simplify (- 0) into 0 12.470 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.471 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 12.472 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (* 0 (* -1 PI))) into PI 12.472 * [backup-simplify]: Simplify (+ (* 0 PI) (* 1 (* -1 (* a PI)))) into (- (* a PI)) 12.473 * [backup-simplify]: Simplify (+ 0 1) into 1 12.473 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 12.473 * [backup-simplify]: Simplify (* -1 (* -1 (* a PI))) into (* a PI) 12.473 * [taylor]: Taking taylor expansion of (* a PI) in a 12.473 * [taylor]: Taking taylor expansion of a in a 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 1 into 1 12.473 * [taylor]: Taking taylor expansion of PI in a 12.473 * [backup-simplify]: Simplify PI into PI 12.475 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.475 * [backup-simplify]: Simplify PI into PI 12.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.477 * [backup-simplify]: Simplify (- 0) into 0 12.477 * [backup-simplify]: Simplify (+ 0 0) into 0 12.478 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 12.479 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI)))) into 0 12.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 (* -1 (* a PI))))) into PI 12.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.481 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* a PI)) (/ (/ 1 a) 1)))) into (* 2 PI) 12.483 * [backup-simplify]: Simplify (+ (* -1 (* 2 PI)) (* 0 (* -1 (* a PI)))) into (- (* 2 PI)) 12.483 * [taylor]: Taking taylor expansion of (- (* 2 PI)) in a 12.483 * [taylor]: Taking taylor expansion of (* 2 PI) in a 12.483 * [taylor]: Taking taylor expansion of 2 in a 12.483 * [backup-simplify]: Simplify 2 into 2 12.483 * [taylor]: Taking taylor expansion of PI in a 12.483 * [backup-simplify]: Simplify PI into PI 12.484 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.484 * [backup-simplify]: Simplify (- 0) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (- 0) into 0 12.487 * [backup-simplify]: Simplify (+ 0 0) into 0 12.489 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 12.490 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI))))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 (* -1 (* a PI)))))) into 0 12.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (+ 0 0) into 0 12.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 12.496 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI))))) into (* 2 (/ PI a)) 12.496 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 12.496 * [taylor]: Taking taylor expansion of 2 in a 12.496 * [backup-simplify]: Simplify 2 into 2 12.496 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.496 * [taylor]: Taking taylor expansion of PI in a 12.496 * [backup-simplify]: Simplify PI into PI 12.496 * [taylor]: Taking taylor expansion of a in a 12.496 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (/ PI 1) into PI 12.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.502 * [backup-simplify]: Simplify (- 0) into 0 12.502 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (- 0) into 0 12.504 * [backup-simplify]: Simplify (+ 0 0) into 0 12.505 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 12.506 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI)))))) into 0 12.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 (* -1 (* a PI))))))) into 0 12.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.508 * [backup-simplify]: Simplify (+ 0 0) into 0 12.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 12.511 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI)))))) into (- (* 2 (/ PI (pow a 2)))) 12.511 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 12.511 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.511 * [taylor]: Taking taylor expansion of 2 in a 12.511 * [backup-simplify]: Simplify 2 into 2 12.511 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.511 * [taylor]: Taking taylor expansion of PI in a 12.511 * [backup-simplify]: Simplify PI into PI 12.511 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.511 * [taylor]: Taking taylor expansion of a in a 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify 1 into 1 12.511 * [backup-simplify]: Simplify (* 1 1) into 1 12.511 * [backup-simplify]: Simplify (/ PI 1) into PI 12.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.516 * [backup-simplify]: Simplify (- 0) into 0 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify (* PI (* (/ 1 (- a)) (/ 1 (- b)))) into (/ PI (* a b)) 12.516 * * * * [progress]: [ 2 / 4 ] generating series at (2) 12.516 * [backup-simplify]: Simplify (/ (/ (* PI (/ (- b a) (+ a b))) (* a b)) (* 2 (- b a))) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 12.516 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (b a) around 0 12.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 12.516 * [taylor]: Taking taylor expansion of 1/2 in a 12.516 * [backup-simplify]: Simplify 1/2 into 1/2 12.516 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 12.516 * [taylor]: Taking taylor expansion of PI in a 12.516 * [backup-simplify]: Simplify PI into PI 12.516 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 12.516 * [taylor]: Taking taylor expansion of a in a 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify 1 into 1 12.516 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 12.516 * [taylor]: Taking taylor expansion of (+ a b) in a 12.516 * [taylor]: Taking taylor expansion of a in a 12.516 * [backup-simplify]: Simplify 0 into 0 12.516 * [backup-simplify]: Simplify 1 into 1 12.516 * [taylor]: Taking taylor expansion of b in a 12.516 * [backup-simplify]: Simplify b into b 12.517 * [taylor]: Taking taylor expansion of b in a 12.517 * [backup-simplify]: Simplify b into b 12.517 * [backup-simplify]: Simplify (+ 0 b) into b 12.517 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.517 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 12.517 * [backup-simplify]: Simplify (+ 1 0) into 1 12.517 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 12.517 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 12.517 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 12.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 12.517 * [taylor]: Taking taylor expansion of 1/2 in b 12.517 * [backup-simplify]: Simplify 1/2 into 1/2 12.517 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 12.517 * [taylor]: Taking taylor expansion of PI in b 12.517 * [backup-simplify]: Simplify PI into PI 12.517 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 12.517 * [taylor]: Taking taylor expansion of a in b 12.517 * [backup-simplify]: Simplify a into a 12.517 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 12.517 * [taylor]: Taking taylor expansion of (+ a b) in b 12.517 * [taylor]: Taking taylor expansion of a in b 12.517 * [backup-simplify]: Simplify a into a 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [backup-simplify]: Simplify (+ a 0) into a 12.517 * [backup-simplify]: Simplify (* a 0) into 0 12.517 * [backup-simplify]: Simplify (* a 0) into 0 12.518 * [backup-simplify]: Simplify (+ 0 1) into 1 12.518 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 12.518 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 12.518 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 12.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 12.518 * [taylor]: Taking taylor expansion of 1/2 in b 12.518 * [backup-simplify]: Simplify 1/2 into 1/2 12.518 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 12.518 * [taylor]: Taking taylor expansion of PI in b 12.519 * [backup-simplify]: Simplify PI into PI 12.519 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 12.519 * [taylor]: Taking taylor expansion of a in b 12.519 * [backup-simplify]: Simplify a into a 12.519 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 12.519 * [taylor]: Taking taylor expansion of (+ a b) in b 12.519 * [taylor]: Taking taylor expansion of a in b 12.519 * [backup-simplify]: Simplify a into a 12.519 * [taylor]: Taking taylor expansion of b in b 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [taylor]: Taking taylor expansion of b in b 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 1 into 1 12.519 * [backup-simplify]: Simplify (+ a 0) into a 12.519 * [backup-simplify]: Simplify (* a 0) into 0 12.519 * [backup-simplify]: Simplify (* a 0) into 0 12.519 * [backup-simplify]: Simplify (+ 0 1) into 1 12.519 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 12.520 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 12.520 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 12.520 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 12.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 12.520 * [taylor]: Taking taylor expansion of 1/2 in a 12.520 * [backup-simplify]: Simplify 1/2 into 1/2 12.520 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.520 * [taylor]: Taking taylor expansion of PI in a 12.520 * [backup-simplify]: Simplify PI into PI 12.520 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.520 * [taylor]: Taking taylor expansion of a in a 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 1 into 1 12.520 * [backup-simplify]: Simplify (* 1 1) into 1 12.521 * [backup-simplify]: Simplify (/ PI 1) into PI 12.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 12.523 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 12.523 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 12.523 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 1/2 (/ PI (pow a 3)))) 12.523 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 12.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 12.523 * [taylor]: Taking taylor expansion of 1/2 in a 12.523 * [backup-simplify]: Simplify 1/2 into 1/2 12.523 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.523 * [taylor]: Taking taylor expansion of PI in a 12.523 * [backup-simplify]: Simplify PI into PI 12.523 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.523 * [taylor]: Taking taylor expansion of a in a 12.523 * [backup-simplify]: Simplify 0 into 0 12.523 * [backup-simplify]: Simplify 1 into 1 12.524 * [backup-simplify]: Simplify (* 1 1) into 1 12.524 * [backup-simplify]: Simplify (* 1 1) into 1 12.524 * [backup-simplify]: Simplify (/ PI 1) into PI 12.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.528 * [backup-simplify]: Simplify (- 0) into 0 12.528 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify (+ 0 0) into 0 12.531 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.531 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 12.532 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 12.532 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 1/2 (/ PI (pow a 4))) 12.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 12.532 * [taylor]: Taking taylor expansion of 1/2 in a 12.532 * [backup-simplify]: Simplify 1/2 into 1/2 12.532 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 12.532 * [taylor]: Taking taylor expansion of PI in a 12.532 * [backup-simplify]: Simplify PI into PI 12.532 * [taylor]: Taking taylor expansion of (pow a 4) in a 12.532 * [taylor]: Taking taylor expansion of a in a 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 1 into 1 12.533 * [backup-simplify]: Simplify (* 1 1) into 1 12.533 * [backup-simplify]: Simplify (* 1 1) into 1 12.534 * [backup-simplify]: Simplify (/ PI 1) into PI 12.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.544 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.549 * [backup-simplify]: Simplify (- 0) into 0 12.549 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify (/ (/ (* PI (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) 12.554 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in a 12.554 * [taylor]: Taking taylor expansion of 1/2 in a 12.554 * [backup-simplify]: Simplify 1/2 into 1/2 12.554 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in a 12.554 * [taylor]: Taking taylor expansion of (* PI (* b a)) in a 12.554 * [taylor]: Taking taylor expansion of PI in a 12.554 * [backup-simplify]: Simplify PI into PI 12.554 * [taylor]: Taking taylor expansion of (* b a) in a 12.554 * [taylor]: Taking taylor expansion of b in a 12.554 * [backup-simplify]: Simplify b into b 12.554 * [taylor]: Taking taylor expansion of a in a 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.554 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.554 * [taylor]: Taking taylor expansion of a in a 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.555 * [backup-simplify]: Simplify (/ 1 1) into 1 12.555 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.555 * [taylor]: Taking taylor expansion of b in a 12.555 * [backup-simplify]: Simplify b into b 12.555 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.555 * [backup-simplify]: Simplify (* b 0) into 0 12.556 * [backup-simplify]: Simplify (* PI 0) into 0 12.556 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 12.556 * [backup-simplify]: Simplify (+ (* PI b) (* 0 0)) into (* PI b) 12.557 * [backup-simplify]: Simplify (+ 1 0) into 1 12.557 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in b 12.557 * [taylor]: Taking taylor expansion of 1/2 in b 12.557 * [backup-simplify]: Simplify 1/2 into 1/2 12.557 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in b 12.557 * [taylor]: Taking taylor expansion of (* PI (* b a)) in b 12.557 * [taylor]: Taking taylor expansion of PI in b 12.557 * [backup-simplify]: Simplify PI into PI 12.557 * [taylor]: Taking taylor expansion of (* b a) in b 12.557 * [taylor]: Taking taylor expansion of b in b 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 1 into 1 12.557 * [taylor]: Taking taylor expansion of a in b 12.557 * [backup-simplify]: Simplify a into a 12.557 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.557 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.557 * [taylor]: Taking taylor expansion of a in b 12.557 * [backup-simplify]: Simplify a into a 12.557 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.558 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.558 * [taylor]: Taking taylor expansion of b in b 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.558 * [backup-simplify]: Simplify (/ 1 1) into 1 12.558 * [backup-simplify]: Simplify (* 0 a) into 0 12.559 * [backup-simplify]: Simplify (* PI 0) into 0 12.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 12.559 * [backup-simplify]: Simplify (+ (* PI a) (* 0 0)) into (* a PI) 12.560 * [backup-simplify]: Simplify (+ 0 1) into 1 12.560 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in b 12.560 * [taylor]: Taking taylor expansion of 1/2 in b 12.560 * [backup-simplify]: Simplify 1/2 into 1/2 12.560 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in b 12.560 * [taylor]: Taking taylor expansion of (* PI (* b a)) in b 12.560 * [taylor]: Taking taylor expansion of PI in b 12.560 * [backup-simplify]: Simplify PI into PI 12.560 * [taylor]: Taking taylor expansion of (* b a) in b 12.560 * [taylor]: Taking taylor expansion of b in b 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of a in b 12.560 * [backup-simplify]: Simplify a into a 12.560 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.560 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.560 * [taylor]: Taking taylor expansion of a in b 12.560 * [backup-simplify]: Simplify a into a 12.561 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.561 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.561 * [taylor]: Taking taylor expansion of b in b 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [backup-simplify]: Simplify (/ 1 1) into 1 12.561 * [backup-simplify]: Simplify (* 0 a) into 0 12.562 * [backup-simplify]: Simplify (* PI 0) into 0 12.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 12.563 * [backup-simplify]: Simplify (+ (* PI a) (* 0 0)) into (* a PI) 12.563 * [backup-simplify]: Simplify (+ 0 1) into 1 12.563 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.563 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 12.563 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.563 * [taylor]: Taking taylor expansion of 1/2 in a 12.563 * [backup-simplify]: Simplify 1/2 into 1/2 12.564 * [taylor]: Taking taylor expansion of (* a PI) in a 12.564 * [taylor]: Taking taylor expansion of a in a 12.564 * [backup-simplify]: Simplify 0 into 0 12.564 * [backup-simplify]: Simplify 1 into 1 12.564 * [taylor]: Taking taylor expansion of PI in a 12.564 * [backup-simplify]: Simplify PI into PI 12.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.566 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.567 * [backup-simplify]: Simplify (* 0 PI) into 0 12.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.568 * [backup-simplify]: Simplify 0 into 0 12.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 12.569 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 a) (* 0 0))) into 0 12.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.569 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 12.570 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* a PI))) into (- (* 1/2 PI)) 12.570 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 12.570 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 12.570 * [taylor]: Taking taylor expansion of 1/2 in a 12.570 * [backup-simplify]: Simplify 1/2 into 1/2 12.570 * [taylor]: Taking taylor expansion of PI in a 12.570 * [backup-simplify]: Simplify PI into PI 12.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.571 * [backup-simplify]: Simplify (- 0) into 0 12.571 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 a) (* 0 0)))) into 0 12.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.575 * [backup-simplify]: Simplify (+ 0 0) into 0 12.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 12.576 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 1/2 (/ PI a)) 12.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.576 * [taylor]: Taking taylor expansion of 1/2 in a 12.576 * [backup-simplify]: Simplify 1/2 into 1/2 12.576 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.576 * [taylor]: Taking taylor expansion of PI in a 12.576 * [backup-simplify]: Simplify PI into PI 12.576 * [taylor]: Taking taylor expansion of a in a 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.577 * [backup-simplify]: Simplify (/ PI 1) into PI 12.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.580 * [backup-simplify]: Simplify (- 0) into 0 12.580 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify (/ (/ (* PI (/ (- (/ 1 (- b)) (/ 1 (- a))) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) 12.582 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.582 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 12.582 * [taylor]: Taking taylor expansion of -1/2 in a 12.582 * [backup-simplify]: Simplify -1/2 into -1/2 12.582 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 12.582 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 12.582 * [taylor]: Taking taylor expansion of a in a 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [taylor]: Taking taylor expansion of (* PI b) in a 12.582 * [taylor]: Taking taylor expansion of PI in a 12.582 * [backup-simplify]: Simplify PI into PI 12.582 * [taylor]: Taking taylor expansion of b in a 12.582 * [backup-simplify]: Simplify b into b 12.582 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.582 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.582 * [taylor]: Taking taylor expansion of a in a 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.583 * [backup-simplify]: Simplify (/ 1 1) into 1 12.583 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.583 * [taylor]: Taking taylor expansion of b in a 12.583 * [backup-simplify]: Simplify b into b 12.583 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.583 * [backup-simplify]: Simplify (* PI b) into (* b PI) 12.583 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 12.583 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 12.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 12.587 * [backup-simplify]: Simplify (+ 1 0) into 1 12.588 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 12.588 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 12.588 * [taylor]: Taking taylor expansion of -1/2 in b 12.588 * [backup-simplify]: Simplify -1/2 into -1/2 12.588 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 12.588 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 12.588 * [taylor]: Taking taylor expansion of a in b 12.588 * [backup-simplify]: Simplify a into a 12.588 * [taylor]: Taking taylor expansion of (* PI b) in b 12.588 * [taylor]: Taking taylor expansion of PI in b 12.588 * [backup-simplify]: Simplify PI into PI 12.588 * [taylor]: Taking taylor expansion of b in b 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify 1 into 1 12.588 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.588 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.588 * [taylor]: Taking taylor expansion of a in b 12.588 * [backup-simplify]: Simplify a into a 12.588 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.588 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.588 * [taylor]: Taking taylor expansion of b in b 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify 1 into 1 12.588 * [backup-simplify]: Simplify (/ 1 1) into 1 12.589 * [backup-simplify]: Simplify (* PI 0) into 0 12.589 * [backup-simplify]: Simplify (* a 0) into 0 12.590 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.590 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 12.590 * [backup-simplify]: Simplify (+ 0 1) into 1 12.590 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.590 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 12.590 * [taylor]: Taking taylor expansion of -1/2 in b 12.590 * [backup-simplify]: Simplify -1/2 into -1/2 12.590 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 12.590 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 12.590 * [taylor]: Taking taylor expansion of a in b 12.590 * [backup-simplify]: Simplify a into a 12.590 * [taylor]: Taking taylor expansion of (* PI b) in b 12.590 * [taylor]: Taking taylor expansion of PI in b 12.590 * [backup-simplify]: Simplify PI into PI 12.590 * [taylor]: Taking taylor expansion of b in b 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.591 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.591 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.591 * [taylor]: Taking taylor expansion of a in b 12.591 * [backup-simplify]: Simplify a into a 12.591 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.591 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.591 * [taylor]: Taking taylor expansion of b in b 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 1 into 1 12.591 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [backup-simplify]: Simplify (* PI 0) into 0 12.591 * [backup-simplify]: Simplify (* a 0) into 0 12.592 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.592 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 12.593 * [backup-simplify]: Simplify (+ 0 1) into 1 12.593 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 12.593 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 12.593 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 12.593 * [taylor]: Taking taylor expansion of -1/2 in a 12.593 * [backup-simplify]: Simplify -1/2 into -1/2 12.593 * [taylor]: Taking taylor expansion of (* a PI) in a 12.593 * [taylor]: Taking taylor expansion of a in a 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [taylor]: Taking taylor expansion of PI in a 12.593 * [backup-simplify]: Simplify PI into PI 12.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.595 * [backup-simplify]: Simplify (* 0 PI) into 0 12.596 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.596 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 12.598 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 12.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.599 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 12.601 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* a PI))) into (* 1/2 PI) 12.601 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 12.601 * [taylor]: Taking taylor expansion of 1/2 in a 12.601 * [backup-simplify]: Simplify 1/2 into 1/2 12.601 * [taylor]: Taking taylor expansion of PI in a 12.601 * [backup-simplify]: Simplify PI into PI 12.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.602 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.605 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.605 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.608 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.610 * [backup-simplify]: Simplify (+ 0 0) into 0 12.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 12.612 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 1/2 (/ PI a))) 12.612 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 12.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.612 * [taylor]: Taking taylor expansion of 1/2 in a 12.612 * [backup-simplify]: Simplify 1/2 into 1/2 12.612 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.612 * [taylor]: Taking taylor expansion of PI in a 12.612 * [backup-simplify]: Simplify PI into PI 12.612 * [taylor]: Taking taylor expansion of a in a 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.613 * [backup-simplify]: Simplify (/ PI 1) into PI 12.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.619 * [backup-simplify]: Simplify (- 0) into 0 12.619 * [backup-simplify]: Simplify 0 into 0 12.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.620 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.623 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 12.623 * [backup-simplify]: Simplify (/ (- b a) (+ a b)) into (/ (- b a) (+ a b)) 12.623 * [approximate]: Taking taylor expansion of (/ (- b a) (+ a b)) in (b a) around 0 12.623 * [taylor]: Taking taylor expansion of (/ (- b a) (+ a b)) in a 12.623 * [taylor]: Taking taylor expansion of (- b a) in a 12.623 * [taylor]: Taking taylor expansion of b in a 12.623 * [backup-simplify]: Simplify b into b 12.623 * [taylor]: Taking taylor expansion of a in a 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify 1 into 1 12.623 * [taylor]: Taking taylor expansion of (+ a b) in a 12.623 * [taylor]: Taking taylor expansion of a in a 12.623 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify 1 into 1 12.624 * [taylor]: Taking taylor expansion of b in a 12.624 * [backup-simplify]: Simplify b into b 12.624 * [backup-simplify]: Simplify (- 0) into 0 12.624 * [backup-simplify]: Simplify (+ b 0) into b 12.624 * [backup-simplify]: Simplify (+ 0 b) into b 12.624 * [backup-simplify]: Simplify (/ b b) into 1 12.624 * [taylor]: Taking taylor expansion of (/ (- b a) (+ a b)) in b 12.624 * [taylor]: Taking taylor expansion of (- b a) in b 12.624 * [taylor]: Taking taylor expansion of b in b 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [taylor]: Taking taylor expansion of a in b 12.624 * [backup-simplify]: Simplify a into a 12.624 * [taylor]: Taking taylor expansion of (+ a b) in b 12.624 * [taylor]: Taking taylor expansion of a in b 12.624 * [backup-simplify]: Simplify a into a 12.624 * [taylor]: Taking taylor expansion of b in b 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [backup-simplify]: Simplify (- a) into (- a) 12.625 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.625 * [backup-simplify]: Simplify (+ a 0) into a 12.625 * [backup-simplify]: Simplify (/ (- a) a) into -1 12.625 * [taylor]: Taking taylor expansion of (/ (- b a) (+ a b)) in b 12.625 * [taylor]: Taking taylor expansion of (- b a) in b 12.625 * [taylor]: Taking taylor expansion of b in b 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [taylor]: Taking taylor expansion of a in b 12.625 * [backup-simplify]: Simplify a into a 12.625 * [taylor]: Taking taylor expansion of (+ a b) in b 12.625 * [taylor]: Taking taylor expansion of a in b 12.625 * [backup-simplify]: Simplify a into a 12.625 * [taylor]: Taking taylor expansion of b in b 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [backup-simplify]: Simplify (- a) into (- a) 12.625 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.625 * [backup-simplify]: Simplify (+ a 0) into a 12.625 * [backup-simplify]: Simplify (/ (- a) a) into -1 12.625 * [taylor]: Taking taylor expansion of -1 in a 12.625 * [backup-simplify]: Simplify -1 into -1 12.625 * [backup-simplify]: Simplify -1 into -1 12.626 * [backup-simplify]: Simplify (- 0) into 0 12.626 * [backup-simplify]: Simplify (+ 1 0) into 1 12.627 * [backup-simplify]: Simplify (+ 0 1) into 1 12.627 * [backup-simplify]: Simplify (- (/ 1 a) (+ (* -1 (/ 1 a)))) into (* 2 (/ 1 a)) 12.627 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 12.627 * [taylor]: Taking taylor expansion of 2 in a 12.627 * [backup-simplify]: Simplify 2 into 2 12.627 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.627 * [taylor]: Taking taylor expansion of a in a 12.627 * [backup-simplify]: Simplify 0 into 0 12.627 * [backup-simplify]: Simplify 1 into 1 12.627 * [backup-simplify]: Simplify (/ 1 1) into 1 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.629 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify (- 0) into 0 12.630 * [backup-simplify]: Simplify (+ 0 0) into 0 12.630 * [backup-simplify]: Simplify (+ 0 0) into 0 12.630 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (* 2 (/ 1 a)) (/ 1 a)))) into (- (* 2 (/ 1 (pow a 2)))) 12.630 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow a 2)))) in a 12.630 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 12.630 * [taylor]: Taking taylor expansion of 2 in a 12.630 * [backup-simplify]: Simplify 2 into 2 12.630 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 12.630 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.630 * [taylor]: Taking taylor expansion of a in a 12.630 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 1 into 1 12.631 * [backup-simplify]: Simplify (* 1 1) into 1 12.631 * [backup-simplify]: Simplify (/ 1 1) into 1 12.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.636 * [backup-simplify]: Simplify (- 0) into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify (- 0) into 0 12.639 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (+ 0 0) into 0 12.640 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (* 2 (/ 1 a)) (/ 0 a)) (* (- (* 2 (/ 1 (pow a 2)))) (/ 1 a)))) into (* 2 (/ 1 (pow a 3))) 12.640 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 3))) in a 12.640 * [taylor]: Taking taylor expansion of 2 in a 12.640 * [backup-simplify]: Simplify 2 into 2 12.640 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 12.640 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.640 * [taylor]: Taking taylor expansion of a in a 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [backup-simplify]: Simplify (* 1 1) into 1 12.641 * [backup-simplify]: Simplify (* 1 1) into 1 12.641 * [backup-simplify]: Simplify (/ 1 1) into 1 12.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify -1 into -1 12.653 * [backup-simplify]: Simplify (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) into (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) 12.653 * [approximate]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in (b a) around 0 12.653 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 12.653 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.653 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.653 * [taylor]: Taking taylor expansion of b in a 12.653 * [backup-simplify]: Simplify b into b 12.653 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.653 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.653 * [taylor]: Taking taylor expansion of a in a 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 1 into 1 12.653 * [backup-simplify]: Simplify (/ 1 1) into 1 12.653 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.653 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.653 * [taylor]: Taking taylor expansion of a in a 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 1 into 1 12.654 * [backup-simplify]: Simplify (/ 1 1) into 1 12.654 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.654 * [taylor]: Taking taylor expansion of b in a 12.654 * [backup-simplify]: Simplify b into b 12.654 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.654 * [backup-simplify]: Simplify (- 1) into -1 12.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.655 * [backup-simplify]: Simplify (+ 1 0) into 1 12.656 * [backup-simplify]: Simplify (/ -1 1) into -1 12.656 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 12.656 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.656 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.656 * [taylor]: Taking taylor expansion of b in b 12.656 * [backup-simplify]: Simplify 0 into 0 12.656 * [backup-simplify]: Simplify 1 into 1 12.656 * [backup-simplify]: Simplify (/ 1 1) into 1 12.656 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.656 * [taylor]: Taking taylor expansion of a in b 12.656 * [backup-simplify]: Simplify a into a 12.656 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.657 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.657 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.657 * [taylor]: Taking taylor expansion of a in b 12.657 * [backup-simplify]: Simplify a into a 12.657 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.657 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.657 * [taylor]: Taking taylor expansion of b in b 12.657 * [backup-simplify]: Simplify 0 into 0 12.657 * [backup-simplify]: Simplify 1 into 1 12.657 * [backup-simplify]: Simplify (/ 1 1) into 1 12.657 * [backup-simplify]: Simplify (+ 1 0) into 1 12.658 * [backup-simplify]: Simplify (+ 0 1) into 1 12.658 * [backup-simplify]: Simplify (/ 1 1) into 1 12.658 * [taylor]: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 12.658 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.658 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.658 * [taylor]: Taking taylor expansion of b in b 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 1 into 1 12.659 * [backup-simplify]: Simplify (/ 1 1) into 1 12.659 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.659 * [taylor]: Taking taylor expansion of a in b 12.659 * [backup-simplify]: Simplify a into a 12.659 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.659 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.659 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.659 * [taylor]: Taking taylor expansion of a in b 12.659 * [backup-simplify]: Simplify a into a 12.659 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.659 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.659 * [taylor]: Taking taylor expansion of b in b 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify 1 into 1 12.659 * [backup-simplify]: Simplify (/ 1 1) into 1 12.660 * [backup-simplify]: Simplify (+ 1 0) into 1 12.660 * [backup-simplify]: Simplify (+ 0 1) into 1 12.661 * [backup-simplify]: Simplify (/ 1 1) into 1 12.661 * [taylor]: Taking taylor expansion of 1 in a 12.661 * [backup-simplify]: Simplify 1 into 1 12.661 * [backup-simplify]: Simplify 1 into 1 12.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 12.662 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 12.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.663 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.663 * [backup-simplify]: Simplify (- (/ (- (/ 1 a)) 1) (+ (* 1 (/ (/ 1 a) 1)))) into (- (* 2 (/ 1 a))) 12.663 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 a))) in a 12.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 12.663 * [taylor]: Taking taylor expansion of 2 in a 12.663 * [backup-simplify]: Simplify 2 into 2 12.663 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.663 * [taylor]: Taking taylor expansion of a in a 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [backup-simplify]: Simplify (/ 1 1) into 1 12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.666 * [backup-simplify]: Simplify (- 0) into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.667 * [backup-simplify]: Simplify (- 0) into 0 12.668 * [backup-simplify]: Simplify (+ 0 0) into 0 12.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ 0 0) into 0 12.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 a))) (/ (/ 1 a) 1)))) into (* 2 (/ 1 (pow a 2))) 12.670 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 12.670 * [taylor]: Taking taylor expansion of 2 in a 12.670 * [backup-simplify]: Simplify 2 into 2 12.670 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 12.670 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.670 * [taylor]: Taking taylor expansion of a in a 12.670 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify 1 into 1 12.671 * [backup-simplify]: Simplify (* 1 1) into 1 12.671 * [backup-simplify]: Simplify (/ 1 1) into 1 12.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.675 * [backup-simplify]: Simplify (- 0) into 0 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 0 into 0 12.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.676 * [backup-simplify]: Simplify (- 0) into 0 12.676 * [backup-simplify]: Simplify (+ 0 0) into 0 12.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.677 * [backup-simplify]: Simplify (+ 0 0) into 0 12.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (* 2 (/ 1 a))) (/ 0 1)) (* (* 2 (/ 1 (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2 (/ 1 (pow a 3)))) 12.678 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow a 3)))) in a 12.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 3))) in a 12.678 * [taylor]: Taking taylor expansion of 2 in a 12.678 * [backup-simplify]: Simplify 2 into 2 12.678 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 12.678 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.678 * [taylor]: Taking taylor expansion of a in a 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [backup-simplify]: Simplify 1 into 1 12.678 * [backup-simplify]: Simplify (* 1 1) into 1 12.679 * [backup-simplify]: Simplify (* 1 1) into 1 12.679 * [backup-simplify]: Simplify (/ 1 1) into 1 12.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.684 * [backup-simplify]: Simplify (- 0) into 0 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (/ (- (/ 1 (- b)) (/ 1 (- a))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) 12.685 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.685 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 12.685 * [taylor]: Taking taylor expansion of -1 in a 12.685 * [backup-simplify]: Simplify -1 into -1 12.685 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 12.685 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.685 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.685 * [taylor]: Taking taylor expansion of a in a 12.685 * [backup-simplify]: Simplify 0 into 0 12.685 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (/ 1 1) into 1 12.685 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.685 * [taylor]: Taking taylor expansion of b in a 12.685 * [backup-simplify]: Simplify b into b 12.685 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.685 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.685 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.685 * [taylor]: Taking taylor expansion of a in a 12.685 * [backup-simplify]: Simplify 0 into 0 12.685 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (/ 1 1) into 1 12.685 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.685 * [taylor]: Taking taylor expansion of b in a 12.685 * [backup-simplify]: Simplify b into b 12.685 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.686 * [backup-simplify]: Simplify (+ 1 0) into 1 12.686 * [backup-simplify]: Simplify (+ 1 0) into 1 12.686 * [backup-simplify]: Simplify (/ 1 1) into 1 12.686 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 12.686 * [taylor]: Taking taylor expansion of -1 in b 12.686 * [backup-simplify]: Simplify -1 into -1 12.686 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 12.686 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.686 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.686 * [taylor]: Taking taylor expansion of a in b 12.686 * [backup-simplify]: Simplify a into a 12.686 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.686 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.686 * [taylor]: Taking taylor expansion of b in b 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify 1 into 1 12.687 * [backup-simplify]: Simplify (/ 1 1) into 1 12.687 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.687 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.687 * [taylor]: Taking taylor expansion of a in b 12.687 * [backup-simplify]: Simplify a into a 12.687 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.687 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.687 * [taylor]: Taking taylor expansion of b in b 12.687 * [backup-simplify]: Simplify 0 into 0 12.687 * [backup-simplify]: Simplify 1 into 1 12.687 * [backup-simplify]: Simplify (/ 1 1) into 1 12.687 * [backup-simplify]: Simplify (- 1) into -1 12.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.688 * [backup-simplify]: Simplify (+ 0 1) into 1 12.688 * [backup-simplify]: Simplify (/ -1 1) into -1 12.688 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 12.688 * [taylor]: Taking taylor expansion of -1 in b 12.688 * [backup-simplify]: Simplify -1 into -1 12.688 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 12.688 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.688 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.688 * [taylor]: Taking taylor expansion of a in b 12.688 * [backup-simplify]: Simplify a into a 12.688 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.688 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.688 * [taylor]: Taking taylor expansion of b in b 12.688 * [backup-simplify]: Simplify 0 into 0 12.688 * [backup-simplify]: Simplify 1 into 1 12.689 * [backup-simplify]: Simplify (/ 1 1) into 1 12.689 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.689 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.689 * [taylor]: Taking taylor expansion of a in b 12.689 * [backup-simplify]: Simplify a into a 12.689 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.689 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.689 * [taylor]: Taking taylor expansion of b in b 12.689 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify 1 into 1 12.689 * [backup-simplify]: Simplify (/ 1 1) into 1 12.689 * [backup-simplify]: Simplify (- 1) into -1 12.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.690 * [backup-simplify]: Simplify (+ 0 1) into 1 12.690 * [backup-simplify]: Simplify (/ -1 1) into -1 12.690 * [backup-simplify]: Simplify (* -1 -1) into 1 12.690 * [taylor]: Taking taylor expansion of 1 in a 12.690 * [backup-simplify]: Simplify 1 into 1 12.691 * [backup-simplify]: Simplify 1 into 1 12.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.691 * [backup-simplify]: Simplify (- 0) into 0 12.691 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.692 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.692 * [backup-simplify]: Simplify (- (/ (/ 1 a) 1) (+ (* -1 (/ (/ 1 a) 1)))) into (* 2 (/ 1 a)) 12.692 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 a))) (* 0 -1)) into (- (* 2 (/ 1 a))) 12.692 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 a))) in a 12.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 a)) in a 12.692 * [taylor]: Taking taylor expansion of 2 in a 12.692 * [backup-simplify]: Simplify 2 into 2 12.692 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.692 * [taylor]: Taking taylor expansion of a in a 12.692 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify 1 into 1 12.693 * [backup-simplify]: Simplify (/ 1 1) into 1 12.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 12.694 * [backup-simplify]: Simplify (- 0) into 0 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.695 * [backup-simplify]: Simplify (- 0) into 0 12.695 * [backup-simplify]: Simplify (+ 0 0) into 0 12.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.696 * [backup-simplify]: Simplify (+ 0 0) into 0 12.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ 1 (pow a 2)))) 12.697 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 (* 2 (/ 1 a))) (* 0 -1))) into (* 2 (/ 1 (pow a 2))) 12.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a 12.697 * [taylor]: Taking taylor expansion of 2 in a 12.697 * [backup-simplify]: Simplify 2 into 2 12.697 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 12.697 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.697 * [taylor]: Taking taylor expansion of a in a 12.697 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify 1 into 1 12.697 * [backup-simplify]: Simplify (* 1 1) into 1 12.697 * [backup-simplify]: Simplify (/ 1 1) into 1 12.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 12.703 * [backup-simplify]: Simplify (- 0) into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.704 * [backup-simplify]: Simplify (- 0) into 0 12.705 * [backup-simplify]: Simplify (+ 0 0) into 0 12.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.706 * [backup-simplify]: Simplify (+ 0 0) into 0 12.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (* 2 (/ 1 a)) (/ 0 1)) (* (- (* 2 (/ 1 (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2 (/ 1 (pow a 3))) 12.709 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow a 3)))) (+ (* 0 (- (* 2 (/ 1 (pow a 2))))) (+ (* 0 (* 2 (/ 1 a))) (* 0 -1)))) into (- (* 2 (/ 1 (pow a 3)))) 12.709 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow a 3)))) in a 12.709 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow a 3))) in a 12.709 * [taylor]: Taking taylor expansion of 2 in a 12.709 * [backup-simplify]: Simplify 2 into 2 12.709 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 12.709 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.709 * [taylor]: Taking taylor expansion of a in a 12.709 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (* 1 1) into 1 12.710 * [backup-simplify]: Simplify (* 1 1) into 1 12.710 * [backup-simplify]: Simplify (/ 1 1) into 1 12.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.727 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.727 * [backup-simplify]: Simplify (- 0) into 0 12.727 * [backup-simplify]: Simplify 0 into 0 12.727 * [backup-simplify]: Simplify 1 into 1 12.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.728 * [backup-simplify]: Simplify (* PI (/ (- b a) (+ a b))) into (/ (* (- b a) PI) (+ a b)) 12.728 * [approximate]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in (b a) around 0 12.728 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in a 12.728 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 12.728 * [taylor]: Taking taylor expansion of (- b a) in a 12.729 * [taylor]: Taking taylor expansion of b in a 12.729 * [backup-simplify]: Simplify b into b 12.729 * [taylor]: Taking taylor expansion of a in a 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 1 into 1 12.729 * [taylor]: Taking taylor expansion of PI in a 12.729 * [backup-simplify]: Simplify PI into PI 12.729 * [taylor]: Taking taylor expansion of (+ a b) in a 12.729 * [taylor]: Taking taylor expansion of a in a 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 1 into 1 12.729 * [taylor]: Taking taylor expansion of b in a 12.729 * [backup-simplify]: Simplify b into b 12.729 * [backup-simplify]: Simplify (- 0) into 0 12.729 * [backup-simplify]: Simplify (+ b 0) into b 12.729 * [backup-simplify]: Simplify (* b PI) into (* PI b) 12.729 * [backup-simplify]: Simplify (+ 0 b) into b 12.730 * [backup-simplify]: Simplify (/ (* PI b) b) into PI 12.730 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 12.730 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 12.730 * [taylor]: Taking taylor expansion of (- b a) in b 12.730 * [taylor]: Taking taylor expansion of b in b 12.730 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify 1 into 1 12.730 * [taylor]: Taking taylor expansion of a in b 12.730 * [backup-simplify]: Simplify a into a 12.730 * [taylor]: Taking taylor expansion of PI in b 12.730 * [backup-simplify]: Simplify PI into PI 12.730 * [taylor]: Taking taylor expansion of (+ a b) in b 12.730 * [taylor]: Taking taylor expansion of a in b 12.730 * [backup-simplify]: Simplify a into a 12.730 * [taylor]: Taking taylor expansion of b in b 12.730 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify 1 into 1 12.730 * [backup-simplify]: Simplify (- a) into (- a) 12.730 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.730 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 12.730 * [backup-simplify]: Simplify (+ a 0) into a 12.730 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 12.730 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 12.730 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 12.730 * [taylor]: Taking taylor expansion of (- b a) in b 12.730 * [taylor]: Taking taylor expansion of b in b 12.730 * [backup-simplify]: Simplify 0 into 0 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [taylor]: Taking taylor expansion of a in b 12.731 * [backup-simplify]: Simplify a into a 12.731 * [taylor]: Taking taylor expansion of PI in b 12.731 * [backup-simplify]: Simplify PI into PI 12.731 * [taylor]: Taking taylor expansion of (+ a b) in b 12.731 * [taylor]: Taking taylor expansion of a in b 12.731 * [backup-simplify]: Simplify a into a 12.731 * [taylor]: Taking taylor expansion of b in b 12.731 * [backup-simplify]: Simplify 0 into 0 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [backup-simplify]: Simplify (- a) into (- a) 12.731 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.731 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 12.731 * [backup-simplify]: Simplify (+ a 0) into a 12.731 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 12.731 * [taylor]: Taking taylor expansion of (* -1 PI) in a 12.731 * [taylor]: Taking taylor expansion of -1 in a 12.731 * [backup-simplify]: Simplify -1 into -1 12.731 * [taylor]: Taking taylor expansion of PI in a 12.731 * [backup-simplify]: Simplify PI into PI 12.732 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.733 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.733 * [backup-simplify]: Simplify (- 0) into 0 12.733 * [backup-simplify]: Simplify (+ 1 0) into 1 12.734 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 12.734 * [backup-simplify]: Simplify (+ 0 1) into 1 12.735 * [backup-simplify]: Simplify (- (/ PI a) (+ (* (* -1 PI) (/ 1 a)))) into (* 2 (/ PI a)) 12.735 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 12.735 * [taylor]: Taking taylor expansion of 2 in a 12.735 * [backup-simplify]: Simplify 2 into 2 12.735 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.735 * [taylor]: Taking taylor expansion of PI in a 12.735 * [backup-simplify]: Simplify PI into PI 12.735 * [taylor]: Taking taylor expansion of a in a 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.736 * [backup-simplify]: Simplify (/ PI 1) into PI 12.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.737 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.737 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 12.737 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify (- 0) into 0 12.738 * [backup-simplify]: Simplify (+ 0 0) into 0 12.738 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 12.738 * [backup-simplify]: Simplify (+ 0 0) into 0 12.739 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 1 a)))) into (- (* 2 (/ PI (pow a 2)))) 12.739 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a 12.739 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.739 * [taylor]: Taking taylor expansion of 2 in a 12.739 * [backup-simplify]: Simplify 2 into 2 12.739 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.739 * [taylor]: Taking taylor expansion of PI in a 12.739 * [backup-simplify]: Simplify PI into PI 12.739 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.739 * [taylor]: Taking taylor expansion of a in a 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify 1 into 1 12.739 * [backup-simplify]: Simplify (* 1 1) into 1 12.739 * [backup-simplify]: Simplify (/ PI 1) into PI 12.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.742 * [backup-simplify]: Simplify (- 0) into 0 12.742 * [backup-simplify]: Simplify 0 into 0 12.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.744 * [backup-simplify]: Simplify 0 into 0 12.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 12.744 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify (- 0) into 0 12.745 * [backup-simplify]: Simplify (+ 0 0) into 0 12.745 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.746 * [backup-simplify]: Simplify (+ 0 0) into 0 12.746 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 0 a)) (* (- (* 2 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2 (/ PI (pow a 3))) 12.746 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 12.746 * [taylor]: Taking taylor expansion of 2 in a 12.746 * [backup-simplify]: Simplify 2 into 2 12.746 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.746 * [taylor]: Taking taylor expansion of PI in a 12.746 * [backup-simplify]: Simplify PI into PI 12.746 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.746 * [taylor]: Taking taylor expansion of a in a 12.746 * [backup-simplify]: Simplify 0 into 0 12.746 * [backup-simplify]: Simplify 1 into 1 12.747 * [backup-simplify]: Simplify (* 1 1) into 1 12.747 * [backup-simplify]: Simplify (* 1 1) into 1 12.747 * [backup-simplify]: Simplify (/ PI 1) into PI 12.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.753 * [backup-simplify]: Simplify (* PI (/ (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) into (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) 12.753 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in (b a) around 0 12.753 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 12.753 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in a 12.753 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.753 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.753 * [taylor]: Taking taylor expansion of b in a 12.753 * [backup-simplify]: Simplify b into b 12.753 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.753 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.753 * [taylor]: Taking taylor expansion of a in a 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify 1 into 1 12.754 * [backup-simplify]: Simplify (/ 1 1) into 1 12.754 * [taylor]: Taking taylor expansion of PI in a 12.754 * [backup-simplify]: Simplify PI into PI 12.754 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.754 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.754 * [taylor]: Taking taylor expansion of a in a 12.754 * [backup-simplify]: Simplify 0 into 0 12.754 * [backup-simplify]: Simplify 1 into 1 12.754 * [backup-simplify]: Simplify (/ 1 1) into 1 12.754 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.754 * [taylor]: Taking taylor expansion of b in a 12.754 * [backup-simplify]: Simplify b into b 12.754 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.754 * [backup-simplify]: Simplify (- 1) into -1 12.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.755 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.755 * [backup-simplify]: Simplify (+ 1 0) into 1 12.756 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 12.756 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.757 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 12.757 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.757 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.757 * [taylor]: Taking taylor expansion of b in b 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 1 into 1 12.757 * [backup-simplify]: Simplify (/ 1 1) into 1 12.757 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.757 * [taylor]: Taking taylor expansion of a in b 12.757 * [backup-simplify]: Simplify a into a 12.757 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.757 * [taylor]: Taking taylor expansion of PI in b 12.757 * [backup-simplify]: Simplify PI into PI 12.757 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.757 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.757 * [taylor]: Taking taylor expansion of a in b 12.757 * [backup-simplify]: Simplify a into a 12.757 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.757 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.757 * [taylor]: Taking taylor expansion of b in b 12.758 * [backup-simplify]: Simplify 0 into 0 12.758 * [backup-simplify]: Simplify 1 into 1 12.758 * [backup-simplify]: Simplify (/ 1 1) into 1 12.758 * [backup-simplify]: Simplify (+ 1 0) into 1 12.759 * [backup-simplify]: Simplify (* 1 PI) into PI 12.759 * [backup-simplify]: Simplify (+ 0 1) into 1 12.760 * [backup-simplify]: Simplify (/ PI 1) into PI 12.760 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 12.760 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.760 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.760 * [taylor]: Taking taylor expansion of b in b 12.760 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.760 * [backup-simplify]: Simplify (/ 1 1) into 1 12.760 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.760 * [taylor]: Taking taylor expansion of a in b 12.761 * [backup-simplify]: Simplify a into a 12.761 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.761 * [taylor]: Taking taylor expansion of PI in b 12.761 * [backup-simplify]: Simplify PI into PI 12.761 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.761 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.761 * [taylor]: Taking taylor expansion of a in b 12.761 * [backup-simplify]: Simplify a into a 12.761 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.761 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.761 * [taylor]: Taking taylor expansion of b in b 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (/ 1 1) into 1 12.762 * [backup-simplify]: Simplify (+ 1 0) into 1 12.762 * [backup-simplify]: Simplify (* 1 PI) into PI 12.763 * [backup-simplify]: Simplify (+ 0 1) into 1 12.763 * [backup-simplify]: Simplify (/ PI 1) into PI 12.763 * [taylor]: Taking taylor expansion of PI in a 12.763 * [backup-simplify]: Simplify PI into PI 12.763 * [backup-simplify]: Simplify PI into PI 12.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.764 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 12.764 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 12.765 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 12.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.765 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.766 * [backup-simplify]: Simplify (- (/ (- (/ PI a)) 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 12.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI a))) in a 12.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 12.766 * [taylor]: Taking taylor expansion of 2 in a 12.766 * [backup-simplify]: Simplify 2 into 2 12.766 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.766 * [taylor]: Taking taylor expansion of PI in a 12.766 * [backup-simplify]: Simplify PI into PI 12.766 * [taylor]: Taking taylor expansion of a in a 12.766 * [backup-simplify]: Simplify 0 into 0 12.766 * [backup-simplify]: Simplify 1 into 1 12.766 * [backup-simplify]: Simplify (/ PI 1) into PI 12.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.768 * [backup-simplify]: Simplify (- 0) into 0 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.770 * [backup-simplify]: Simplify (- 0) into 0 12.770 * [backup-simplify]: Simplify (+ 0 0) into 0 12.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* 0 PI))) into 0 12.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.772 * [backup-simplify]: Simplify (+ 0 0) into 0 12.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 12.773 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.774 * [taylor]: Taking taylor expansion of 2 in a 12.774 * [backup-simplify]: Simplify 2 into 2 12.774 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.774 * [taylor]: Taking taylor expansion of PI in a 12.774 * [backup-simplify]: Simplify PI into PI 12.774 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.774 * [taylor]: Taking taylor expansion of a in a 12.774 * [backup-simplify]: Simplify 0 into 0 12.774 * [backup-simplify]: Simplify 1 into 1 12.774 * [backup-simplify]: Simplify (* 1 1) into 1 12.775 * [backup-simplify]: Simplify (/ PI 1) into PI 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.779 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.779 * [backup-simplify]: Simplify 0 into 0 12.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.781 * [backup-simplify]: Simplify (- 0) into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.783 * [backup-simplify]: Simplify (- 0) into 0 12.783 * [backup-simplify]: Simplify (+ 0 0) into 0 12.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 12.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.785 * [backup-simplify]: Simplify (+ 0 0) into 0 12.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ 0 1)) (* (* 2 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 3)))) 12.787 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 12.787 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 12.787 * [taylor]: Taking taylor expansion of 2 in a 12.787 * [backup-simplify]: Simplify 2 into 2 12.787 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.787 * [taylor]: Taking taylor expansion of PI in a 12.787 * [backup-simplify]: Simplify PI into PI 12.787 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.787 * [taylor]: Taking taylor expansion of a in a 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify 1 into 1 12.787 * [backup-simplify]: Simplify (* 1 1) into 1 12.788 * [backup-simplify]: Simplify (* 1 1) into 1 12.788 * [backup-simplify]: Simplify (/ PI 1) into PI 12.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.799 * [backup-simplify]: Simplify (- 0) into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify PI into PI 12.799 * [backup-simplify]: Simplify (* PI (/ (- (/ 1 (- b)) (/ 1 (- a))) (+ (/ 1 (- a)) (/ 1 (- b))))) into (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) 12.799 * [approximate]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.799 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in a 12.799 * [taylor]: Taking taylor expansion of -1 in a 12.799 * [backup-simplify]: Simplify -1 into -1 12.799 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a 12.799 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 12.799 * [taylor]: Taking taylor expansion of PI in a 12.799 * [backup-simplify]: Simplify PI into PI 12.799 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.799 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.799 * [taylor]: Taking taylor expansion of a in a 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify 1 into 1 12.800 * [backup-simplify]: Simplify (/ 1 1) into 1 12.800 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.800 * [taylor]: Taking taylor expansion of b in a 12.800 * [backup-simplify]: Simplify b into b 12.800 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.800 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.800 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.800 * [taylor]: Taking taylor expansion of a in a 12.800 * [backup-simplify]: Simplify 0 into 0 12.800 * [backup-simplify]: Simplify 1 into 1 12.800 * [backup-simplify]: Simplify (/ 1 1) into 1 12.801 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.801 * [taylor]: Taking taylor expansion of b in a 12.801 * [backup-simplify]: Simplify b into b 12.801 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.801 * [backup-simplify]: Simplify (+ 1 0) into 1 12.802 * [backup-simplify]: Simplify (* PI 1) into PI 12.802 * [backup-simplify]: Simplify (+ 1 0) into 1 12.803 * [backup-simplify]: Simplify (/ PI 1) into PI 12.803 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in b 12.803 * [taylor]: Taking taylor expansion of -1 in b 12.803 * [backup-simplify]: Simplify -1 into -1 12.803 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b 12.803 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 12.803 * [taylor]: Taking taylor expansion of PI in b 12.803 * [backup-simplify]: Simplify PI into PI 12.803 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.803 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.803 * [taylor]: Taking taylor expansion of a in b 12.803 * [backup-simplify]: Simplify a into a 12.803 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.803 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.803 * [taylor]: Taking taylor expansion of b in b 12.803 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify 1 into 1 12.803 * [backup-simplify]: Simplify (/ 1 1) into 1 12.804 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.804 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.804 * [taylor]: Taking taylor expansion of a in b 12.804 * [backup-simplify]: Simplify a into a 12.804 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.804 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.804 * [taylor]: Taking taylor expansion of b in b 12.804 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify 1 into 1 12.804 * [backup-simplify]: Simplify (/ 1 1) into 1 12.805 * [backup-simplify]: Simplify (- 1) into -1 12.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.806 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 12.806 * [backup-simplify]: Simplify (+ 0 1) into 1 12.807 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 12.807 * [taylor]: Taking taylor expansion of (* -1 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in b 12.807 * [taylor]: Taking taylor expansion of -1 in b 12.807 * [backup-simplify]: Simplify -1 into -1 12.807 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b 12.807 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 12.807 * [taylor]: Taking taylor expansion of PI in b 12.807 * [backup-simplify]: Simplify PI into PI 12.807 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.807 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.807 * [taylor]: Taking taylor expansion of a in b 12.807 * [backup-simplify]: Simplify a into a 12.807 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.807 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.808 * [taylor]: Taking taylor expansion of b in b 12.808 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify 1 into 1 12.808 * [backup-simplify]: Simplify (/ 1 1) into 1 12.808 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.808 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.808 * [taylor]: Taking taylor expansion of a in b 12.808 * [backup-simplify]: Simplify a into a 12.808 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.808 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.808 * [taylor]: Taking taylor expansion of b in b 12.808 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify 1 into 1 12.809 * [backup-simplify]: Simplify (/ 1 1) into 1 12.809 * [backup-simplify]: Simplify (- 1) into -1 12.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.810 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 12.810 * [backup-simplify]: Simplify (+ 0 1) into 1 12.811 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 12.813 * [backup-simplify]: Simplify (* -1 (* -1 PI)) into PI 12.813 * [taylor]: Taking taylor expansion of PI in a 12.813 * [backup-simplify]: Simplify PI into PI 12.813 * [backup-simplify]: Simplify PI into PI 12.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.814 * [backup-simplify]: Simplify (- 0) into 0 12.814 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.815 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 12.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.815 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.816 * [backup-simplify]: Simplify (- (/ (/ PI a) 1) (+ (* (* -1 PI) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 12.817 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (- (* 2 (/ PI a))) 12.817 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI a))) in a 12.817 * [taylor]: Taking taylor expansion of (* 2 (/ PI a)) in a 12.817 * [taylor]: Taking taylor expansion of 2 in a 12.817 * [backup-simplify]: Simplify 2 into 2 12.817 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.817 * [taylor]: Taking taylor expansion of PI in a 12.817 * [backup-simplify]: Simplify PI into PI 12.817 * [taylor]: Taking taylor expansion of a in a 12.817 * [backup-simplify]: Simplify 0 into 0 12.817 * [backup-simplify]: Simplify 1 into 1 12.818 * [backup-simplify]: Simplify (/ PI 1) into PI 12.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.820 * [backup-simplify]: Simplify (- 0) into 0 12.820 * [backup-simplify]: Simplify 0 into 0 12.820 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.822 * [backup-simplify]: Simplify (- 0) into 0 12.822 * [backup-simplify]: Simplify (+ 0 0) into 0 12.823 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 12.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.825 * [backup-simplify]: Simplify (+ 0 0) into 0 12.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 12.827 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (* 2 (/ PI (pow a 2))) 12.827 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a 12.827 * [taylor]: Taking taylor expansion of 2 in a 12.827 * [backup-simplify]: Simplify 2 into 2 12.827 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.827 * [taylor]: Taking taylor expansion of PI in a 12.827 * [backup-simplify]: Simplify PI into PI 12.827 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.827 * [taylor]: Taking taylor expansion of a in a 12.827 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify 1 into 1 12.828 * [backup-simplify]: Simplify (* 1 1) into 1 12.828 * [backup-simplify]: Simplify (/ PI 1) into PI 12.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.832 * [backup-simplify]: Simplify 0 into 0 12.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.834 * [backup-simplify]: Simplify (- 0) into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.835 * [backup-simplify]: Simplify (- 0) into 0 12.835 * [backup-simplify]: Simplify (+ 0 0) into 0 12.836 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.837 * [backup-simplify]: Simplify (+ 0 0) into 0 12.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ 0 1)) (* (- (* 2 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 3))) 12.839 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (- (* 2 (/ PI (pow a 3)))) 12.839 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a 12.839 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a 12.839 * [taylor]: Taking taylor expansion of 2 in a 12.839 * [backup-simplify]: Simplify 2 into 2 12.839 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.839 * [taylor]: Taking taylor expansion of PI in a 12.839 * [backup-simplify]: Simplify PI into PI 12.839 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.839 * [taylor]: Taking taylor expansion of a in a 12.839 * [backup-simplify]: Simplify 0 into 0 12.839 * [backup-simplify]: Simplify 1 into 1 12.839 * [backup-simplify]: Simplify (* 1 1) into 1 12.839 * [backup-simplify]: Simplify (* 1 1) into 1 12.840 * [backup-simplify]: Simplify (/ PI 1) into PI 12.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.849 * [backup-simplify]: Simplify (- 0) into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify PI into PI 12.849 * * * [progress]: simplifying candidates 12.849 * * * * [progress]: [ 1 / 185 ] simplifiying candidate # 12.849 * * * * [progress]: [ 2 / 185 ] simplifiying candidate # 12.849 * * * * [progress]: [ 3 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 4 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 5 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 6 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 7 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 8 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 9 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 10 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 11 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 12 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 13 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 14 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 15 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 16 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 17 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 18 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 19 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 20 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 21 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 22 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 23 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 24 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 25 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 26 / 185 ] simplifiying candidate # 12.850 * * * * [progress]: [ 27 / 185 ] simplifiying candidate #real (real->posit16 (/ (* PI (/ (- b a) (+ a b))) (* a b)))) (* 2 (- b a))))> 12.850 * * * * [progress]: [ 28 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 29 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 30 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 31 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 32 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 33 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 34 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 35 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 36 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 37 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 38 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 39 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 40 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 41 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 42 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 43 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 44 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 45 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 46 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 47 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 48 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 49 / 185 ] simplifiying candidate # 12.851 * * * * [progress]: [ 50 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 51 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 52 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 53 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 54 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 55 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 56 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 57 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 58 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 59 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 60 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 61 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 62 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 63 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 64 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 65 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 66 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 67 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 68 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 69 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 70 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 71 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 72 / 185 ] simplifiying candidate # 12.852 * * * * [progress]: [ 73 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 74 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 75 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 76 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 77 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 78 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 79 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 80 / 185 ] simplifiying candidate #real (real->posit16 (/ (/ (* PI (/ (- b a) (+ a b))) (* a b)) (* 2 (- b a))))))> 12.853 * * * * [progress]: [ 81 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 82 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 83 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 84 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 85 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 86 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 87 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 88 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 89 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 90 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 91 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 92 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 93 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 94 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 95 / 185 ] simplifiying candidate # 12.853 * * * * [progress]: [ 96 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 97 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 98 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 99 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 100 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 101 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 102 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 103 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 104 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 105 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 106 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 107 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 108 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 109 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 110 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 111 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 112 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 113 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 114 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 115 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 116 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 117 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 118 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 119 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 120 / 185 ] simplifiying candidate # 12.854 * * * * [progress]: [ 121 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 122 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 123 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 124 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 125 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 126 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 127 / 185 ] simplifiying candidate #real (real->posit16 (/ (- b a) (+ a b))))) (* a b)) (* 2 (- b a))))> 12.855 * * * * [progress]: [ 128 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 129 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 130 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 131 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 132 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 133 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 134 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 135 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 136 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 137 / 185 ] simplifiying candidate # 12.855 * * * * [progress]: [ 138 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 139 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 140 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 141 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 142 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 143 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 144 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 145 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 146 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 147 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 148 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 149 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 150 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 151 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 152 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 153 / 185 ] simplifiying candidate # 12.856 * * * * [progress]: [ 154 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 155 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 156 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 157 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 158 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 159 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 160 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 161 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 162 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 163 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 164 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 165 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 166 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 167 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 168 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 169 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 170 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 171 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 172 / 185 ] simplifiying candidate #real (real->posit16 (* PI (/ (- b a) (+ a b))))) (* a b)) (* 2 (- b a))))> 12.857 * * * * [progress]: [ 173 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 174 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 175 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 176 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 177 / 185 ] simplifiying candidate # 12.857 * * * * [progress]: [ 178 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 179 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 180 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 181 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 182 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 183 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 184 / 185 ] simplifiying candidate # 12.858 * * * * [progress]: [ 185 / 185 ] simplifiying candidate # 12.859 * [simplify]: Simplifying: (- (+ (log PI) (- (log (- b a)) (log (+ a b)))) (+ (log a) (log b))) (- (+ (log PI) (- (log (- b a)) (log (+ a b)))) (log (* a b))) (- (+ (log PI) (log (/ (- b a) (+ a b)))) (+ (log a) (log 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b))) PI PI (* (/ (+ (sqrt b) (sqrt a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) PI) (/ (* PI (+ (sqrt b) (sqrt a))) (sqrt (+ a b))) (* PI (+ (sqrt b) (sqrt a))) (* PI (+ (sqrt b) (sqrt a))) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) PI PI PI (* (- b a) PI) (/ (* PI (- b a)) (+ (* (* b b) b) (* a (* a a)))) (* (/ PI (+ a b)) (/ (- b a) (- a b))) (/ (* (cbrt PI) (- b a)) (+ a b)) (* (sqrt PI) (/ (- b a) (+ a b))) (* PI (/ (- b a) (+ a b))) (* (- b a) PI) (real->posit16 (* PI (/ (- b a) (+ a b)))) (/ (- PI) (* b a)) (/ (/ PI a) b) (/ (/ PI a) b) 0 0 0 -1 1 1 (- PI) PI PI 13.921 * * * [progress]: adding candidates to table 15.961 * [progress]: [Phase 3 of 3] Extracting. 15.961 * * [regime]: Finding splitpoints for: (# # # # # # #) 15.964 * * * [regime-changes]: Trying 2 branch expressions: (b a) 15.964 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 16.039 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 16.116 * * * [regime]: Found split indices: #