* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 49 additional inputs, on iter 1 have 207 / 256 * * * * [misc]points: Computing exacts on every 3 of 49 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 49 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ -1 (* 2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 2 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 0 (* 2 b))) (* (/ 1 (pow b 3)) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 b) (/ (* 2 (/ 1 b)) 2)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ (* 2 (/ 1 b)) 2)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ 0 2)) (* (- (/ 1 b)) (/ (* 2 (/ 1 b)) 2)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 b) (/ 1 a))) into (/ -1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 -2) (+ (* (* -1/2 b) (/ (- (* 2 (/ 1 b))) -2)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ (- (* 2 (/ 1 b))) -2)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ 0 -2)) (* (- (/ 1 b)) (/ (- (* 2 (/ 1 b))) -2)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1/2 (* a b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ PI (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ -1 (* 2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ 1/2 b) (/ PI b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ -1 b)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 2))) (* (- (/ 1 (pow b 2))) (/ PI b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (/ PI (pow b 2)) (/ -1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 2 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 3))) (+ (* (- (/ 1 (pow b 2))) (/ PI (pow b 2))) (* (/ 1 (pow b 3)) (/ PI b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ PI (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ PI (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ PI (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ PI (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1/2 b) (* -1 PI)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 b) -1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 b) (/ (* 2 (/ 1 b)) 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI b))) (* 1 (* -1 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI b)) (/ (/ 1 b) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ (* 2 (/ 1 b)) 2)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI (pow b 2)))) (+ (* 1 (- (/ PI b))) (* (- (/ 1 b)) (* -1 PI)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* (* -1/2 b) PI) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 b)) 1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 -2) (+ (* (* -1/2 b) (/ (- (* 2 (/ 1 b))) -2)))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI b)) (* 1 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI b) (/ (- (/ 1 b)) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ (- (* 2 (/ 1 b))) -2)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI (pow b 2))) (+ (* 1 (/ PI b)) (* (- (/ 1 b)) PI))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2)))) (/ PI (- b a)))) * * * * [misc]progress: [ 5 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) 3)) (/ PI (- b a)))) * * * * [misc]progress: [ 8 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (* (+ a b) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) 2) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (- (/ (/ (/ 1 a) 2) (+ a b)) (/ (/ 1 b) (* (+ a b) 2))) (/ PI (- b a)))) * * * * [misc]progress: [ 13 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 14 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 15 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ PI (- b a)))) * * * * [misc]progress: [ 16 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 17 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ PI (- b a)))) * * * * [misc]progress: [ 18 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ PI (- b a)))) * * * * [misc]progress: [ 19 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ PI (- b a)))) * * * * [misc]progress: [ 20 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ PI (- b a)))) * * * * [misc]progress: [ 21 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (+ a b) 2) (cbrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 26 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (* (+ a b) 2) (sqrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 27 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (* (+ a b) 2) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 29 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow a 3) (pow b 3)) 2)) (fma (- a b) a (* b b))) (/ PI (- b a)))) * * * * [misc]progress: [ 34 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- (* a a) (* b b)) 2)) (- a b)) (/ PI (- b a)))) * * * * [misc]progress: [ 35 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- b a) (* (* (+ a b) 2) (* a b))) (/ PI (- b a)))) * * * * [misc]progress: [ 36 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (* (+ a b) 2) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 37 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (- (* (/ 1 a) (/ 1 a)) (/ (/ 1 b) b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (* (/ 1 a) (/ 1 a)) (/ (/ 1 b) b)) (* (* (+ a b) 2) (+ (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 38 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))))) * * * * [misc]progress: [ 51 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ PI (sqrt (- b a))) (sqrt (- b a))))) * * * * [misc]progress: [ 52 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ PI 1) (- b a)))) * * * * [misc]progress: [ 53 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (* (/ PI (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))))) * * * * [misc]progress: [ 54 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (* (/ PI (- (* b b) (* a a))) (+ a b)))) * * * * [misc]progress: [ 55 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (/ (+ a b) PI) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (/ (+ a b) PI) (- b a))) 1)) * * * * [misc]progress: [ 58 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) (log (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (- b a))) (log (* (+ a b) 2))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (- b a))) (log (* (+ a b) 2))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 60 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (log (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (log (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (log (/ PI (- b a)))))) * * * * [misc]progress: [ 61 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* (/ PI (- b a)) (/ PI (- b a))) (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3))))) * * * * [misc]progress: [ 64 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (* (* (/ PI (- b a)) (/ PI (- b a))) (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))))) * * * * [misc]progress: [ 65 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ a b) 2) (- b a)))) * [enter]simplify: Simplifying (* (* (+ a b) 2) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) 2) (- b a)))) * * * * [misc]progress: [ 69 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (cbrt (/ PI (- b a))))) * * * * [misc]progress: [ 71 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (sqrt (/ PI (- b a)))) (sqrt (/ PI (- b a))))) * * * * [misc]progress: [ 72 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 1) (/ PI (- b a)))) * * * * [misc]progress: [ 73 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) PI) (/ 1 (- b a)))) * * * * [misc]progress: [ 74 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 75 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 76 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ PI (- b a))))) * * * * [misc]progress: [ 77 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ PI (- b a))))) * * * * [misc]progress: [ 78 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 79 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 80 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 81 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 82 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 83 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 84 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 85 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ PI (- b a))))) * * * * [misc]progress: [ 86 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (* (+ a b) 2)) (/ PI (- b a))))) * * * * [misc]progress: [ 88 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow a 3) (pow b 3)) 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ (* (* 2 a) (* a a)) (* (* b b) (* 2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ (* (* 2 a) (* a a)) (* (* b b) (* 2 b)))) (* (+ (* a a) (- (* b b) (* a b))) (/ PI (- b a))))) * * * * [misc]progress: [ 89 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- (* a a) (* b b)) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (- a b)) (* (- a b) (/ PI (- b a))))) * * * * [misc]progress: [ 90 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) PI) (- b a))) * * * * [misc]progress: [ 91 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 92 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 94 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 95 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 96 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 97 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 98 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 99 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 100 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 101 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 102 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 103 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 104 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 105 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 106 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 107 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 108 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (+ (- (/ 1 a) (/ 1 b)) 0) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 109 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 112 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 113 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (log (exp (- (/ 1 a) (/ 1 b)))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 116 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (/ (- b a) (* a b)) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (/ (- b a) (* a b)) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 123 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (+ a b) 2)) (/ PI (- b a)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 128 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 129 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 130 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 131 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (/ (* 1 (- (/ 1 a) (/ 1 b))) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 132 / 144 ] simplifiying candidate # * * * * [misc]progress: [ 133 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 134 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 135 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 136 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 137 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 138 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 139 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 140 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 141 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 142 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 143 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 144 / 144 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ PI (- b a)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- PI) (- a)) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* a PI) 1) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -1) into (* b PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* b PI) (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* a PI)) -1) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* b PI) 1) into (* b PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* b PI) 1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- PI) 1) (+ (* (* b PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- PI) (- a)) into (/ PI a) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI a) (* 2 a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 2 (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 2 (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* a PI) 1) into (* a PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* b PI) (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ (* 2 (/ 1 b)) 2)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ (* 2 (/ 1 b)) 2)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* a PI)) -1) into (* a PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* a PI) -2) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* b PI) 1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* b PI) -2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* b PI) 1) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* b PI) -2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- PI) 1) (+ (* (* b PI) (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 (* b PI)) (/ (- (* 2 (/ 1 b))) -2)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 (* b PI)) (/ 0 -2)) (* (* 1/2 PI) (/ (- (* 2 (/ 1 b))) -2)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI a) (/ PI b))) (log (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (- (/ PI a) (/ PI b))) (log (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 29 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (- b a)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (- b a)) 3)) (* (+ a b) 2))) * * * * [misc]progress: [ 32 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI a) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (/ PI a) (- b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (- (/ (/ PI a) (- b a)) (/ (/ PI b) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 37 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 38 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 39 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 40 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 41 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 42 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (- (/ PI a) (/ PI b))) (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (- (/ PI a) (/ PI b))) (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 43 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 44 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 45 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (/ (- (/ PI a) (/ PI b)) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (- (/ PI a) (/ PI b)) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 46 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 47 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 48 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 49 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 50 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 51 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (/ (- (/ PI a) (/ PI b)) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (- (/ PI a) (/ PI b)) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 52 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 53 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) (* (+ a b) 2))) * * * * [misc]progress: [ 54 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* PI (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (+ a b) 2))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 55 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 59 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (sqrt (- b a))) (* (+ a b) 2))) * * * * [misc]progress: [ 60 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) 1) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 61 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (/ (- b a) (cbrt (- (/ PI a) (/ PI b))))) (* (+ a b) 2))) * * * * [misc]progress: [ 62 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (/ (- b a) (sqrt (- (/ PI a) (/ PI b))))) (* (+ a b) 2))) * * * * [misc]progress: [ 63 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (- b a) (- (sqrt (/ PI a)) (sqrt (/ PI b))))) (* (+ a b) 2))) * * * * [misc]progress: [ 65 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))) (* (+ a b) 2))) * * * * [misc]progress: [ 68 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (+ a b)) (* (+ a b) 2))) * * * * [misc]progress: [ 69 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI b) (* a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* PI (- b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* PI (- b a)) (* (- b a) (* a b))) (* (+ a b) 2))) * * * * [misc]progress: [ 70 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ PI a) 3) (pow (/ PI b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) (* (- b a) (+ (* (/ PI a) (/ PI a)) (+ (* (/ PI b) (/ PI b)) (* (/ PI a) (/ PI b)))))) (* (+ a b) 2))) * * * * [misc]progress: [ 71 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI a) (/ PI a)) (* (/ PI b) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (* (+ (/ PI b) (/ PI a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (+ (/ PI b) (/ PI a)) (- (/ PI a) (/ PI b))) (* (- b a) (+ (/ PI a) (/ PI b)))) (* (+ a b) 2))) * * * * [misc]progress: [ 72 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ PI a) (/ PI b))) (log (- b a))) (log (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (- b a))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- (/ PI a) (/ PI b))) (log (- b a))) (log (* (+ a b) 2))))) * * * * [misc]progress: [ 76 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) (- b a))) (log (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (- b a))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (- b a))) (log (* (+ a b) 2))))) * * * * [misc]progress: [ 77 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (- b a) (- b a)) (- b a))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) (* (- b a) (- b a))) (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)))) (* (* (* 2 (+ a b)) (* 2 (+ a b))) (* (* 2 (+ a b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (/ (- (/ PI a) (/ PI b)) (* (- b a) (- b a))) (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)))) (* (* (* 2 (+ a b)) (* 2 (+ a b))) (* (* 2 (+ a b)) (- b a)))))) * * * * [misc]progress: [ 80 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (- b a)) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (- b a)) 3))) * * * * [misc]progress: [ 81 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) (- b a)) (* (+ a b) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (/ (/ (/ PI a) 2) (* (+ a b) (- b a))) (/ (/ (/ PI b) (- b a)) (* (+ a b) 2)))) * * * * [misc]progress: [ 86 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (+ a b)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2))) * * * * [misc]progress: [ 87 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) (+ a b)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) (+ a b)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) 2))) * * * * [misc]progress: [ 88 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (* (cbrt (- b a)) (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (* (cbrt (- b a)) (+ a b)) (cbrt (- b a)))) (/ (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) 2)))) * * * * [misc]progress: [ 89 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (+ a b) (sqrt (- b a)))) (/ (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (+ a b)) (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) 2)))) * * * * [misc]progress: [ 90 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (+ a b)) (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (+ a b)) (/ (cbrt (- (/ PI a) (/ PI b))) (* 2 (- b a))))) * * * * [misc]progress: [ 91 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (* (+ a b) (cbrt (- b a)))) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) 2)))) * * * * [misc]progress: [ 92 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) (+ a b))) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) (+ a b)) (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) 2)))) * * * * [misc]progress: [ 93 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) 1) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (+ a b)) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (+ a b)) (/ (sqrt (- (/ PI a) (/ PI b))) (* 2 (- b a))))) * * * * [misc]progress: [ 94 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (- b a))))) * * * * [misc]progress: [ 95 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (sqrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))))) * * * * [misc]progress: [ 96 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (+ a b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 97 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* (cbrt (- b a)) (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (* (cbrt (- b a)) (+ a b)) (cbrt (- b a)))) (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* 2 (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* 2 (cbrt (- b a)))))) * * * * [misc]progress: [ 98 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) (sqrt (- b a)))) (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* 2 (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) (+ a b)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* 2 (sqrt (- b a)))))) * * * * [misc]progress: [ 99 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) 2)))) * * * * [misc]progress: [ 100 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (- b a))))) * * * * [misc]progress: [ 101 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (sqrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))))) * * * * [misc]progress: [ 102 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (+ a b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 103 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (+ a b)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (- b a))))) * * * * [misc]progress: [ 104 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (sqrt (- b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (- b a))) (+ a b)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (- b a))))) * * * * [misc]progress: [ 105 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2)))) * * * * [misc]progress: [ 106 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 107 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ (/ 1 (- b a)) 2))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 108 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- (pow b 3) (pow a 3))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (+ a b)) (/ (+ (* b b) (+ (* a a) (* b a))) 2))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) a (* b b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- (pow b 3) (pow a 3))) (+ a b)) (/ (fma (+ b a) a (* b b)) 2))) * * * * [misc]progress: [ 109 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) (+ a b))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) (+ a b))) (- b a)) (/ (+ b a) 2))) * [enter]simplify: Simplifying (/ (+ b a) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (+ a b)) (/ (+ a b) 2))) * * * * [misc]progress: [ 110 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* (+ a b) 2) (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))))) * * * * [misc]progress: [ 115 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (* (+ a b) 2) (sqrt (/ (- (/ PI a) (/ PI b)) (- b a)))))) * * * * [misc]progress: [ 116 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (/ (* (+ a b) 2) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 117 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (/ (* (+ a b) 2) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 118 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (/ (* (+ a b) 2) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))))) * * * * [misc]progress: [ 119 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (+ a b) 2) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 120 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (* (+ a b) 2) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 121 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (/ PI a) (/ PI b))) (/ (* (+ a b) 2) (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))))) * * * * [misc]progress: [ 122 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 123 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 124 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (- b a))))) * * * * [misc]progress: [ 125 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (+ a b) 2) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 126 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a))) (/ (* (+ a b) 2) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 127 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (* (+ a b) 2) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))))) * * * * [misc]progress: [ 128 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 129 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 130 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (* (+ a b) 2) (/ (- (/ PI a) (/ PI b)) (- b a))))) * * * * [misc]progress: [ 131 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 132 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (sqrt (- b a))) (/ (* (+ a b) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 133 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (/ PI (/ (* (+ a b) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * * * * [misc]progress: [ 134 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (/ (* (+ a b) 2) (/ 1 (- b a))))) * * * * [misc]progress: [ 136 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (/ (* (+ a b) 2) (+ (* b b) (+ (* a a) (* b a)))))) * * * * [misc]progress: [ 137 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) (/ (* (+ a b) 2) (+ b a)))) * * * * [misc]progress: [ 138 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ (pow a 3) (pow b 3)) 2)) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 139 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (- (* a a) (* b b)) 2)) (- a b))) * * * * [misc]progress: [ 140 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ a b) 2) (- b a)))) * * * * [misc]progress: [ 141 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 142 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 143 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 144 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 145 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 146 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 147 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (* b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 148 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (* b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 149 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (* b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 150 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 151 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 152 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 2 a) -1) into (* -2 a) * [misc]backup-simplify: Simplify (/ 1 (* -2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* (* 2 b) (/ (- (/ 1 b)) 1)))) into 4 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 4 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 b) (/ 0 1)) (* 4 (/ (- (/ 1 b)) 1)))) into (* 4 (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ (* 4 (/ 1 b)) (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 4 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 b) (/ 0 1)) (* 4 (/ 0 1)) (* (* 4 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 4 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ (* 4 (/ 1 (pow b 2))) (* 2 b))) (* (- (/ 1 (pow b 2))) (/ (* 4 (/ 1 b)) (* 2 b))) (* (/ 1 (pow b 3)) (/ 4 (* 2 b))))) into (- (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 2 a) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 b)) (- b)) (+ (* (/ -2 b) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 3)))) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 4)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* (- (/ 1 b)) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 b) (/ 1 a))) into (/ -1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -2 (- a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 b))) b) (+ (* (/ -2 b) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -2 b) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 2)))) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -2 b) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 3)))) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 4)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* (- (/ 1 b)) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1/2 (* a b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 2 a) -1) into (* -2 a) * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]taylor: Taking taylor expansion of (* 2 b) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* (* 2 b) (/ (- (/ 1 b)) 1)))) into 4 * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 b) (/ 0 1)) (* 4 (/ (- (/ 1 b)) 1)))) into (* 4 (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 b) (/ 0 1)) (* 4 (/ 0 1)) (* (* 4 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 4 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* b a)) into (* 2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 2 a) into (/ 2 a) * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ -2 b) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 b)) (- b)) (+ (* (/ -2 b) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 3)))) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) into (* -2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -2 (- a)) into (/ 2 a) * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ -2 b) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 b))) b) (+ (* (/ -2 b) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -2 b) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 2)))) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -2 b) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 3)))) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) into (* -2 (* a b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ PI (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 2 a) -1) into (* -2 a) * [misc]backup-simplify: Simplify (/ 1 (* -2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 2 b) 1) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ 1/2 b) (/ PI b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ -1 b)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* (* 2 b) (/ (- (/ 1 b)) 1)))) into 4 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 4 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 2))) (* (- (/ 1 (pow b 2))) (/ PI b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (/ PI (pow b 2)) (/ -1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 2 b) (/ 0 1)) (* 4 (/ (- (/ 1 b)) 1)))) into (* 4 (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ (* 4 (/ 1 b)) (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 4 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 3))) (+ (* (- (/ 1 (pow b 2))) (/ PI (pow b 2))) (* (/ 1 (pow b 3)) (/ PI b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (/ PI (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (/ PI (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 2 a) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (/ PI (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (/ PI (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 a) (/ 1 b)) 2) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ 2 (- b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1/2 b) (* -1 PI)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 b) -1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (* 2 (/ 1 b)) (- b)) (+ (* (/ -2 b) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI b))) (* 1 (* -1 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI b)) (/ (/ 1 b) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- b)) (+ (* (/ -2 b) (/ 0 (- b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI (pow b 2)))) (+ (* 1 (- (/ PI b))) (* (- (/ 1 b)) (* -1 PI)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ -2 (- a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) (/ PI (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ -2 b) into (/ -2 b) * [misc]backup-simplify: Simplify (/ 1 (/ -2 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* (* -1/2 b) PI) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 b)) 1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 b))) b) (+ (* (/ -2 b) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI b)) (* 1 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI b) (/ (- (/ 1 b)) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -2 b) (/ 0 b)) (* (- (* 4 (/ 1 (pow b 2)))) (/ -1 b)))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 b) (/ (- (* 4 (/ 1 (pow b 3)))) (/ -2 b))) (* 1 (/ (- (* 4 (/ 1 (pow b 2)))) (/ -2 b))))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI (pow b 2))) (+ (* 1 (/ PI b)) (* (- (/ 1 b)) PI))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (pow (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) (- 1)) (/ PI (- b a)))) * * * * [misc]progress: [ 5 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))))) (cbrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 18 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (sqrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 19 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ 2 (cbrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 20 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) (sqrt (- (/ 1 a) (/ 1 b))))) (/ 2 (sqrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 21 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) 1)) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 22 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 23 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) 1)) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 24 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) 1)) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 25 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) 1)) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 26 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (+ a b) 1)) (/ 2 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 27 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 1) (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 28 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (* (+ a b) 2)) (/ 1 (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 29 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (* (+ a b) 2) (- (* 1 b) (* a 1)))) (* a b)) (/ PI (- b a)))) * * * * [misc]progress: [ 30 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (* (+ a b) 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)))) (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) (/ PI (- b a)))) * * * * [misc]progress: [ 31 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ 1 (/ (* (+ a b) 2) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) (/ PI (- b a)))) * * * * [misc]progress: [ 32 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (* (+ a b) 2)) (- (/ 1 a) (/ 1 b))) (/ PI (- b a)))) * * * * [misc]progress: [ 33 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (+ a b) 2)) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (log (* (+ b a) 2)) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (exp (- (log (* (+ b a) 2)) (log (- (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 37 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2)) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (cbrt (pow (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) 3))) (/ PI (- b a)))) * * * * [misc]progress: [ 40 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (/ (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (+ a b) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ 2 (cbrt (- (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 45 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (/ (+ b a) (sqrt (- (/ 1 a) (/ 1 b)))) (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (+ a b) (sqrt (- (/ 1 a) (/ 1 b)))) (/ 2 (sqrt (- (/ 1 a) (/ 1 b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 46 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 47 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ b a) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (/ (+ b a) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (+ a b) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ 2 (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 48 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 49 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 50 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 51 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * [enter]simplify: Simplifying (/ 2 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (+ b a) (/ 2 (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 52 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b))))) (cbrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 56 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) (sqrt (- (/ 1 a) (/ 1 b)))) (sqrt (- (/ 1 a) (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 57 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) 1) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 58 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ PI (- b a)))) * * * * [misc]progress: [ 59 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) 1) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 60 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) 1) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 61 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) 1) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 62 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (/ (/ (* (+ a b) 2) 1) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 63 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) 2))) (/ PI (- b a)))) * * * * [misc]progress: [ 64 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (* (+ a b) 2) (- (* 1 b) (* a 1))) (* a b))) (/ PI (- b a)))) * * * * [misc]progress: [ 65 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (* (+ a b) 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) (/ PI (- b a)))) * * * * [misc]progress: [ 66 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (/ 1 (* (/ (* (+ a b) 2) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))) (+ (/ 1 a) (/ 1 b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 67 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow a 3) (pow b 3)) 2) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (* (* a 2) (* a a)) (* (* b b) (* b 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (/ (+ (* (* a 2) (* a a)) (* (* b b) (* b 2))) (* (- (/ 1 a) (/ 1 b)) (+ (* a a) (- (* b b) (* a b)))))) (/ PI (- b a)))) * * * * [misc]progress: [ 68 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* a a) (* b b)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (* (* 2 (- a b)) (+ a b)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (/ 1 (/ (* (* 2 (- a b)) (+ a b)) (* (- (/ 1 a) (/ 1 b)) (- a b)))) (/ PI (- b a)))) * * * * [misc]progress: [ 69 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))))) * * * * [misc]progress: [ 82 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ (/ PI (sqrt (- b a))) (sqrt (- b a))))) * * * * [misc]progress: [ 83 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ (/ PI 1) (- b a)))) * * * * [misc]progress: [ 84 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (* (/ PI (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))))) * * * * [misc]progress: [ 85 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (* (/ PI (- (* b b) (* a a))) (+ a b)))) * * * * [misc]progress: [ 86 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (+ a b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (+ a b)) (- b a))) 1)) * * * * [misc]progress: [ 89 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (- (log (* (+ a b) 2)) (log (- (/ 1 a) (/ 1 b))))) (log (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (- (+ (log (- (/ 1 a) (/ 1 b))) (log (/ PI (- b a)))) (log (* (+ b a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (+ (log (- (/ 1 a) (/ 1 b))) (log (/ PI (- b a)))) (log (* (+ b a) 2))))) * * * * [misc]progress: [ 91 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (log (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (- (log (/ PI (- b a))) (log (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ PI (- b a))) (log (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 92 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (log (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (log (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (log (/ PI (- b a)))))) * * * * [misc]progress: [ 93 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (* (* (/ PI (- b a)) (/ PI (- b a))) (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ (pow (/ PI (- b a)) 3) (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ (pow (/ PI (- b a)) 3) (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 96 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (/ PI (* (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) (- b a)))) * [enter]simplify: Simplifying (* (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (* (* (+ b a) (- b a)) 2) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ PI (/ (* (* (+ b a) (- b a)) 2) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 100 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (cbrt (/ PI (- b a))))) * * * * [misc]progress: [ 102 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (sqrt (/ PI (- b a)))) (sqrt (/ PI (- b a))))) * * * * [misc]progress: [ 103 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) 1) (/ PI (- b a)))) * * * * [misc]progress: [ 104 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) PI) (/ 1 (- b a)))) * * * * [misc]progress: [ 105 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 106 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) (/ PI (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 107 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (cbrt (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) (* (cbrt (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ PI (- b a))))) * * * * [misc]progress: [ 108 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (sqrt (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ PI (- b a))))) * * * * [misc]progress: [ 109 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ a b) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ a b)) 2) (* (- (/ 1 a) (/ 1 b)) (/ PI (- b a))))) * * * * [misc]progress: [ 112 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) PI) (- b a))) * * * * [misc]progress: [ 113 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ PI (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 114 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 116 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 117 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ PI (- b a)))) * * * * [misc]progress: [ 118 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b a) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ 1 (* (* b a) 2)) (/ PI (- b a)))) * * * * [misc]progress: [ 119 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b a) -2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ 1 (* (* b a) -2)) (/ PI (- b a)))) * * * * [misc]progress: [ 120 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b a) -2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ 1 (* (* b a) -2)) (/ PI (- b a)))) * * * * [misc]progress: [ 121 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) 0)) * * * * [misc]progress: [ 122 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) 0)) * * * * [misc]progress: [ 123 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b)))) 0)) * * * * [misc]progress: [ 124 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 125 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 126 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ -1 (* 2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 2 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 0 (* 2 b))) (* (/ 1 (pow b 3)) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 b) (/ (* 2 (/ 1 b)) 2)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ (* 2 (/ 1 b)) 2)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ 0 2)) (* (- (/ 1 b)) (/ (* 2 (/ 1 b)) 2)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 b) (/ 1 a))) into (/ -1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* -1/2 b) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 -2) (+ (* (* -1/2 b) (/ (- (* 2 (/ 1 b))) -2)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ (- (* 2 (/ 1 b))) -2)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ 0 -2)) (* (- (/ 1 b)) (/ (- (* 2 (/ 1 b))) -2)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1/2 (* a b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- a) PI) into (* -1 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ a PI))) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- a) PI) into (* -1 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ a PI))) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (* -1 (/ a PI)) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI a)) (/ (/ 1 PI) (* -1 (/ a PI)))))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ a PI)) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI a)) (/ 0 (* -1 (/ a PI)))) (* (- (/ PI (pow a 2))) (/ (/ 1 PI) (* -1 (/ a PI)))))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (- (/ 1 (* a PI))) * [misc]backup-simplify: Simplify (- (+ (* PI (/ (- (/ 1 (* a PI))) (/ 1 PI))))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (/ 1 (* a PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* PI (/ 0 (/ 1 PI))) (* (/ PI a) (/ (- (/ 1 (* a PI))) (/ 1 PI))))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (/ 1 (* a PI)) * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ (/ 1 (* a PI)) (/ -1 PI))))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (/ 1 (* a PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ 0 (/ -1 PI))) (* (- (/ PI a)) (/ (/ 1 (* a PI)) (/ -1 PI))))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (- b a) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- a) PI) into (* -1 (/ a PI)) * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- a) PI) into (* -1 (/ a PI)) * [misc]taylor: Taking taylor expansion of (* -1 (/ a PI)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (* -1 (/ a PI)) (/ 0 PI)))) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* -1 (/ 1 PI)) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ a PI)) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ a PI)) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (* a 1)) (* (/ 1 PI) (* 1 b))) into (- (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (- (/ 1 (* a PI))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a PI))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a PI)) in a * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (/ 1 (* a PI))) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (/ 1 (* a PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (/ 1 (* a PI))) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* 1 (/ 1 (/ 1 b)))) (* (- (/ 1 PI)) (* (/ 1 (/ 1 a)) 1))) into (- (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (/ 1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* a PI)) in a * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (/ 1 (* a PI)) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (/ 1 (* a PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (/ 1 (* a PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (* 1 (/ 1 (/ 1 (- b))))) (* (/ 1 PI) (* (/ 1 (/ 1 (- a))) 1))) into (- (/ b PI) (/ a PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- b a) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- b a) PI))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ -1 (* 2 a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (- a) PI) into (* -1 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ a PI))) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- b a) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- b a) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ a b) 2) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- b a) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) PI) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ 1/2 b) (/ PI b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ (- (/ 1 PI)) (/ b PI))))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 2 b)) (+ (* (/ 1/2 b) (/ 2 (* 2 b))))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 2))) (* (- (/ 1 (pow b 2))) (/ PI b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (- (/ 1 PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ 0 (/ b PI))) (* (/ PI (pow b 2)) (/ (- (/ 1 PI)) (/ b PI))))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* (- (/ 1 (pow b 2))) (/ 2 (* 2 b))))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 b) (/ PI (pow b 3))) (+ (* (- (/ 1 (pow b 2))) (/ PI (pow b 2))) (* (/ 1 (pow b 3)) (/ PI b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1/2 b) (* -1 PI)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ (/ 1 (* b PI)) (/ -1 PI))))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 b) (/ (* 2 (/ 1 b)) 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI b))) (* 1 (* -1 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ 0 (/ -1 PI))) (* (- (/ PI b)) (/ (/ 1 (* b PI)) (/ -1 PI))))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1 (/ (* 2 (/ 1 b)) 2)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (- (/ PI (pow b 2)))) (+ (* 1 (- (/ PI b))) (* (- (/ 1 b)) (* -1 PI)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- a) -2) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ b -2) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]backup-simplify: Simplify (* (* -1/2 b) PI) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]backup-simplify: Simplify (- (+ (* PI (/ (- (/ 1 (* b PI))) (/ 1 PI))))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ -1 -2) (+ (* (* -1/2 b) (/ (- (* 2 (/ 1 b))) -2)))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI b)) (* 1 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* PI (/ 0 (/ 1 PI))) (* (/ PI b) (/ (- (/ 1 (* b PI))) (/ 1 PI))))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 b) (/ 0 -2)) (* 1 (/ (- (* 2 (/ 1 b))) -2)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1/2 b) (/ PI (pow b 2))) (+ (* 1 (/ PI b)) (* (- (/ 1 b)) PI))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2)))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 5 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) 3)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 8 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (* (+ a b) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) 2) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (- (/ (/ (/ 1 a) 2) (+ a b)) (/ (/ 1 b) (* (+ a b) 2))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 13 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) (/ (cbrt (- (/ 1 a) (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 14 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 15 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 16 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 17 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 18 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 19 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 20 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ 1 (/ (- b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 21 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (* (+ a b) 2) (cbrt (- (/ 1 a) (/ 1 b))))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 26 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (* (+ a b) 2) (sqrt (- (/ 1 a) (/ 1 b))))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 27 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (* (+ a b) 2) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 29 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow a 3) (pow b 3)) 2)) (fma (- a b) a (* b b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 34 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- (* a a) (* b b)) 2)) (- a b)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 35 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- b a) (* (* (+ a b) 2) (* a b))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 36 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (* (* (+ a b) 2) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 37 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (374 enodes) * [exit]simplify: Simplified to (- (* (/ 1 a) (/ 1 a)) (/ (/ 1 b) b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (* (/ 1 a) (/ 1 a)) (/ (/ 1 b) b)) (* (* (+ a b) 2) (+ (/ 1 a) (/ 1 b)))) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 38 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (pow (/ (- b a) PI) (- 1)))) * * * * [misc]progress: [ 42 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (- b a) PI)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ 1 (* (cbrt (/ (- b a) PI)) (cbrt (/ (- b a) PI)))) (cbrt (/ (- b a) PI))))) * * * * [misc]progress: [ 54 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (- b a) PI)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ 1 (sqrt (/ (- b a) PI))) (sqrt (/ (- b a) PI))))) * * * * [misc]progress: [ 55 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) PI) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ 1 1) (/ (- b a) PI)))) * * * * [misc]progress: [ 56 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (/ 1 (- b a)) (/ 1 PI)))) * * * * [misc]progress: [ 57 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ b PI) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (- (/ b PI) (/ a PI))))) * * * * [misc]progress: [ 68 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- b a)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ PI (cbrt (- b a))))))) * * * * [misc]progress: [ 72 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (sqrt (- b a)) (/ PI (sqrt (- b a))))))) * * * * [misc]progress: [ 73 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (* a a) (- a) (pow b 3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (fma (* a a) (- a) (pow b 3)) (* PI (+ (* b b) (+ (* a a) (* b a)))))))) * * * * [misc]progress: [ 75 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- (* b b) (* a a)) (* PI (+ b a)))))) * * * * [misc]progress: [ 76 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (/ (- b a) PI))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (- b a) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (- b a) (* 2 (+ a b)))) 1)) * * * * [misc]progress: [ 79 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) (- (log (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ (- b a) PI))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ (- b a) PI))) (log (* (+ a b) 2))))) * * * * [misc]progress: [ 81 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ a b) 2))) (log (/ 1 (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ (- b a) PI))) (log (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ (- b a) PI))) (log (* (+ a b) 2))))) * * * * [misc]progress: [ 82 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (- (log (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (log (/ (- b a) PI))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (log (/ (- b a) PI))))) * * * * [misc]progress: [ 83 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (log (/ 1 (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (+ (log (/ PI (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ PI (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))))) * * * * [misc]progress: [ 84 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* (/ 1 (/ (- b a) PI)) (/ 1 (/ (- b a) PI))) (/ 1 (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (pow (/ PI (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))))) * * * * [misc]progress: [ 87 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (* (* (/ 1 (/ (- b a) PI)) (/ 1 (/ (- b a) PI))) (/ 1 (/ (- b a) PI)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (pow (/ PI (- b a)) 3) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (pow (/ PI (- b a)) 3) (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))))) * * * * [misc]progress: [ 88 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ 1 a) (/ 1 b)) (* (* (+ a b) 2) (/ (- b a) PI)))) * [enter]simplify: Simplifying (* (* (+ a b) 2) (/ (- b a) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (/ (+ b a) (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (/ 1 a) (/ 1 b)) (* (/ (+ b a) (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 92 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) PI) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ (- b a) PI))) * * * * [misc]progress: [ 94 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (- b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (* (cbrt (/ 1 (/ (- b a) PI))) (cbrt (/ 1 (/ (- b a) PI))))) (cbrt (/ PI (- b a))))) * * * * [misc]progress: [ 95 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (- b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (sqrt (/ 1 (/ (- b a) PI)))) (sqrt (/ PI (- b a))))) * * * * [misc]progress: [ 96 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 1) (/ PI (- b a)))) * * * * [misc]progress: [ 97 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- b a) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 1) (/ PI (- b a)))) * * * * [misc]progress: [ 98 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 100 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ a b)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2))) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 101 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ a b))) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 102 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ a b)) (* (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 103 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 104 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 105 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 106 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 107 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 108 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 109 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (* (+ a b) 2)) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 111 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow a 3) (pow b 3)) 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ (* (* 2 a) (* a a)) (* (* b b) (* 2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (+ (* (* 2 a) (* a a)) (* (* b b) (* 2 b)))) (* (+ (* a a) (- (* b b) (* a b))) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 112 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- (* a a) (* b b)) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (- a b)) (* (- a b) (/ 1 (/ (- b a) PI))))) * * * * [misc]progress: [ 113 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) PI) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 1) (/ (- b a) PI))) * * * * [misc]progress: [ 114 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ 1 (/ (- b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2))) * * * * [misc]progress: [ 115 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1/2 (* b a)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 117 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 118 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1/2 (* b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1/2 (* b a)) (/ 1 (/ (- b a) PI)))) * * * * [misc]progress: [ 119 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 120 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 121 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) 0)) * * * * [misc]progress: [ 122 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ b PI) (/ a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ b PI) (/ a PI)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (- (/ b PI) (/ a PI))))) * * * * [misc]progress: [ 123 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ b PI) (/ a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ b PI) (/ a PI)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (- (/ b PI) (/ a PI))))) * * * * [misc]progress: [ 124 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ b PI) (/ a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ b PI) (/ a PI)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) (/ 1 (- (/ b PI) (/ a PI))))) * * * * [misc]progress: [ 125 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 126 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 127 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ a b) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* 2 (+ a b))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1387 additional inputs, on iter 1 have 6613 / 8000 * * * * [misc]points: Computing exacts on every 86 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 43 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 21 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 10 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 1387 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1387 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 232 additional inputs, on iter 2 have 7768 / 8000 * * * * [misc]points: Computing exacts on every 14 of 232 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 232 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 232 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 232 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 3 have 7965 / 8000 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 4 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs