* [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 40 additional inputs, on iter 1 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 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 2 have 252 / 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 * * * * [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 (32 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) 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 (/ (/ PI 2) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) 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 (/ (/ PI 2) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) 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 (/ (/ PI 2) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/2 (/ PI (pow b 2)))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b -1) (* 1 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into 0 * [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) (* (- (/ 1 b)) (* 1/2 (/ PI (pow b 2))))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 -1) (* 0 b))) into (- 1) * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) * [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 (+ (* 1 (* 1/2 (/ PI (pow b 4)))) (+ (* (- (/ 1 b)) 0) (* 0 (* 1/2 (/ PI (pow b 2)))))) 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))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) 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 (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) 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 (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))))) 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 (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (* -1/2 PI)) 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)))) 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]backup-simplify: Simplify (+ (* (- b) 0) (* 1 (* -1/2 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 (+ (* 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 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 (+ (* (- b) (- (* 1/2 (/ PI (pow b 2))))) (+ (* 1 0) (* 0 (* -1/2 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 (+ (* 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 (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) 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 (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) 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 (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))))) 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 (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* -1/2 PI)) 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 2) (+ (* (* 1/2 PI) (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 b))) (* (- (/ 1 b)) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 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 (- (+ (* (* -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 (+ (* b 0) (* -1 (* -1/2 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 (+ (* 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) (- (/ 1 b))) (* 0 1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 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 (+ (* b (- (* 1/2 (/ PI (pow b 2))))) (+ (* -1 0) (* 0 (* -1/2 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 (+ (* 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: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (* -1 (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) 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 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* 0 (/ 0 (* -1 (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) 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 4) 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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 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 (+ (* -1/2 0) (+ (* 0 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 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [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 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 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 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [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 2) (+ (* (* 1/2 PI) (/ 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 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 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 (- 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) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 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 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: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ b a) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (* (+ b a) (- b a)) 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 (- 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 (* (+ b a) (- b a)) 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 (- 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- a))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- a)))))) 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 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [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)) (* 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 (- (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) 0) (+ (* 0 (- (/ 1 a))) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 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 (- (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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 (- (/ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) 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) 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) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [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 (- 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) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 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) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) 1)) * * * * [misc]progress: [ 2 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (+ (log (- b a)) (log (+ b a))) (log (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ 1 a) (/ 1 b))) (- (+ (log (- b a)) (log (+ b a))) (log (/ PI 2)))))) * * * * [misc]progress: [ 4 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (log (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 5 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 6 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (334 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (* (* (+ b a) (- b a)) (* (- b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (* (* (+ b a) (- b a)) (* (- b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (/ PI 2)))))) * * * * [misc]progress: [ 9 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (/ (* (* (* (/ PI 2) (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (* (* (/ PI 2) (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) (/ (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a))))))) * * * * [misc]progress: [ 10 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (/ (/ PI 2) (- b a)) (* (+ b a) (+ b a)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (/ (/ PI 2) (- b a)) (* (+ b a) (+ b a)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 11 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a b) (* (+ b a) (- b a))))) * [enter]simplify: Simplifying (* (* a b) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (* a (- b a)) (* (+ b a) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* a (- b a)) (* (+ b a) b)))) * * * * [misc]progress: [ 15 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (* (+ b a) (- b a))))) * [enter]simplify: Simplifying (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * [exit]simplify: Simplified to (* (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) (* (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 16 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (+ (/ 1 b) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [enter]simplify: Simplifying (* (+ (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (+ (/ 1 b) (/ 1 a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (* (* (- b a) (+ b a)) (+ (/ 1 b) (/ 1 a))))) * * * * [misc]progress: [ 17 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))))) (cbrt (/ (/ (/ PI 2) (- b a)) (+ b a))))) * * * * [misc]progress: [ 19 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ PI 2) (* (+ b a) (- b a))))) (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))))) * * * * [misc]progress: [ 20 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a))) (/ (cbrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 21 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (+ b a))) (/ (sqrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 22 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 23 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 24 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) 1) (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 25 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) (/ (/ 1 (+ b a)) (- b a)))) * * * * [misc]progress: [ 26 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))))) (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))))) * * * * [misc]progress: [ 27 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (+ b a) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))))) (* (+ b a) (+ (* b b) (* (- a b) a))))) * * * * [misc]progress: [ 28 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a b) b) (* a a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))))) (* (+ (* (+ a b) b) (* a a)) (- b a)))) * * * * [misc]progress: [ 29 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a))))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 30 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3))))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 31 / 137 ] 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)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) (+ a b))) * * * * [misc]progress: [ 32 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (- (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* a a) (* (- a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a)))) (- (* a a) (* (- a b) b)))) * * * * [misc]progress: [ 33 / 137 ] 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)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a)))) (- b a))) * * * * [misc]progress: [ 34 / 137 ] 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) to (λ (a b) (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))) * * * * [misc]progress: [ 35 / 137 ] 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) to (λ (a b) (* (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))) * * * * [misc]progress: [ 36 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 137 ] 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 b)) (sqrt (/ 1 a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))))) * * * * [misc]progress: [ 38 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 43 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))) * * * * [misc]progress: [ 44 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ (/ PI 2) (- b a)) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ (/ PI 2) (- b a)) (+ a b))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 45 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (- b a) (/ (+ a b) (/ PI 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (- b a) (/ (+ a b) (/ PI 2)))) (+ (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 46 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (+ (log (+ b a)) (log (- b a)))) * * [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 (82 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (- b a))) (log (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (exp (- (- (log (/ PI 2)) (log (- b a))) (log (+ b a)))))) * * * * [misc]progress: [ 49 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (exp (- (log (/ PI 2)) (log (* (- b a) (+ b a))))))) * * * * [misc]progress: [ 50 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (pow (- b a) 3)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (cbrt (* (/ (/ (/ PI 2) (+ a b)) (pow (- b a) 3)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))))))) * * * * [misc]progress: [ 53 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (- b a)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (cbrt (pow (/ (/ (/ PI 2) (+ a b)) (- b a)) 3)))) * * * * [misc]progress: [ 54 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (+ a b) (cbrt (/ PI 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (cbrt (/ PI 2)) (/ (+ a b) (cbrt (/ PI 2)))) (/ (cbrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a)) (/ (cbrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 59 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (sqrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (sqrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 60 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 61 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ PI (+ b a)) (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ PI (+ b a)) (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 62 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 137 ] 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)) (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 66 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (* (+ b a) (- b a)) (cbrt (/ PI 2)))))) * * * * [misc]progress: [ 67 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (/ (* (+ b a) (- b a)) (sqrt (/ PI 2)))))) * * * * [misc]progress: [ 68 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a)))))) * * * * [misc]progress: [ 71 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (+ b a) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) (* (+ b a) (+ (* b b) (* (- a b) a)))))) * * * * [misc]progress: [ 72 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a b) b) (* a a)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) (* (+ (* (+ a b) b) (* a a)) (- b a))))) * * * * [misc]progress: [ 73 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 74 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3)))) (+ (* b b) (* (+ b a) a))))) * * * * [misc]progress: [ 75 / 137 ] 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)) (* (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a)))) (+ a b)))) * * * * [misc]progress: [ 76 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (- (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* a a) (* (- a b) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a))) (- (* a a) (* (- a b) b))))) * * * * [misc]progress: [ 77 / 137 ] 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)) (* (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a))) (- b a)))) * * * * [misc]progress: [ 78 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 137 ] 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) to (λ (a b) (* (log (exp (- (/ 1 a) (/ 1 b)))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 80 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- b a) (* a b)) (/ (/ PI 2) (* (+ b a) (- 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 (* b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 87 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 137 ] 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 b)) (sqrt (/ 1 a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (/ PI 2) (* (+ b a) (- 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 2) to (λ (a b) (* (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 92 / 137 ] 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 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 93 / 137 ] 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 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 94 / 137 ] 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 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 95 / 137 ] 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 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 96 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (pow (* (+ a b) (- b a)) 1)))) * * * * [misc]progress: [ 98 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ b a)) (log (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- b a)) (log (+ a b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (exp (+ (log (- b a)) (log (+ a b))))))) * * * * [misc]progress: [ 100 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (pow (- b a) 3) (pow (+ a b) 3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (cbrt (* (pow (- b a) 3) (pow (+ a b) 3)))))) * * * * [misc]progress: [ 103 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (- (pow b 3) (pow a 3)) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- (pow b 3) (pow a 3)) (+ (pow a 3) (pow b 3))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))))))) * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))))))) * * * * [misc]progress: [ 107 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))) * * [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 (153 enodes) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- (* b b) (* a a)) (+ (pow a 3) (pow b 3))) (* (+ (* b b) (- (* a a) (* b a))) (+ b a)))))) * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (+ b a) (+ (* b b) (* (- a b) a))) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))) (* (+ b a) (+ (* b b) (* (- a b) a))))))) * * * * [misc]progress: [ 108 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (* (- (pow b 3) (pow a 3)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- (pow b 3) (pow a 3)) (* (+ b a) (- b a))) (* (- b a) (+ (* b b) (+ (* a a) (* b a)))))))) * [enter]simplify: Simplifying (* (- b a) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (+ (* (+ a b) b) (* a a)) (- b a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))) (* (+ (* (+ a b) b) (* a a)) (- b a)))))) * * * * [misc]progress: [ 109 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (* (- b a) (+ b a)) (* (- b a) (+ b a))) (* (- b a) (+ b a)))))) * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- (* b b) (* a a)) (- (* b b) (* a a))) (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 110 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (+ (* (+ b a) b) (* (+ a b) (- a)))))) * * * * [misc]progress: [ 112 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (+ (* (+ b a) b) (* (+ a b) (- a)))))) * * * * [misc]progress: [ 113 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (+ (* b (+ b a)) (* (+ a b) (- a)))))) * * * * [misc]progress: [ 114 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (+ (* b (+ b a)) (* (+ a b) (- a)))))) * * * * [misc]progress: [ 115 / 137 ] 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 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))))) * * * * [misc]progress: [ 116 / 137 ] 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 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (* (+ b a) (sqrt (- b a))) (sqrt (- b a)))))) * * * * [misc]progress: [ 117 / 137 ] 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 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (* (+ b a) 1) (- b a))))) * * * * [misc]progress: [ 118 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ a b)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (+ b a)) (- b a)))))) * * * * [misc]progress: [ 119 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ a b)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (sqrt (+ a b)) (* (sqrt (+ b a)) (- b a)))))) * * * * [misc]progress: [ 120 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (+ b a) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a)))))) * * * * [misc]progress: [ 122 / 137 ] 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 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (+ b a) (- (* b b) (* a a))) (+ a b))))) * * * * [misc]progress: [ 123 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (* (- b a) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (- b a) (+ (pow a 3) (pow b 3))) (+ (* b b) (- (* a a) (* b a))))))) * * * * [misc]progress: [ 124 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (- b a) (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (/ (* (+ b a) (* (- b a) (- b a))) (- b a))))) * * * * [misc]progress: [ 125 / 137 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 137 ] 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 / 137 ] 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: [ 128 / 137 ] 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: [ 129 / 137 ] 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)) 0)) * * * * [misc]progress: [ 130 / 137 ] 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)) 0)) * * * * [misc]progress: [ 131 / 137 ] 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)) 0)) * * * * [misc]progress: [ 132 / 137 ] 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)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 133 / 137 ] 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)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 134 / 137 ] 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)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 135 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 136 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 137 / 137 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (* b b) (* a 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 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 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 (/ 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 (- (/ 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 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 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 (- (/ 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 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (/ (* 1/2 PI) 1) 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 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) 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 (+ (* 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) 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 (- (/ 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 (+ (* 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) 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 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 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 (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 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 (- 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 (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) 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 (/ 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 (- (/ 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 (- (/ 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]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a b)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [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]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) a) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a b)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [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]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ a b)) (* a b)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [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]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 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 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [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 (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [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 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [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 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (- (/ 0 1) (+ (* (* 1/2 PI) (/ (/ 1 b) 1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))))) 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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))) (* (- (* 1/2 PI)) (/ 0 (/ 1 b))))) 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 (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [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]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [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]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [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]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) 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 2) (+ (* (* 1/2 PI) (/ 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 (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 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 (- 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) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 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 (- 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 (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))) (* (* 1/2 PI) (/ 0 (/ 1 b))))) 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 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (/ PI 2)) (log (+ a b)))) (* a b))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ b a)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (/ PI 2) (+ b a)) 3)) (* a b))) * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ a b))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ a b))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 18 / 92 ] 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 2) (+ a b))) (* a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (/ PI 2) (+ a b))) (* a b))) * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 21 / 92 ] 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 2) (+ a b))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI (/ (/ 1 2) (+ a b))) (* a b))) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (* a b))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt (+ b a))) (* a b))) * * * * [misc]progress: [ 27 / 92 ] 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) to (λ (a b) (/ (/ (/ (/ PI 2) 1) (+ b a)) (* a b))) * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (+ a b) (cbrt (/ PI 2)))) (* a b))) * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (/ PI 2)) (/ (+ a b) (sqrt (/ PI 2)))) (* a b))) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a))) (* a b))) * * * * [misc]progress: [ 33 / 92 ] 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) (/ (* (/ (/ PI 2) (- (* a a) (* b b))) (- a b)) (* a b))) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ PI 2)) (log (+ a b))) (log (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (+ a b))) (log (* b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (/ PI 2)) (log (+ a b))) (log (* b a))))) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (/ PI 2) (+ a b))) (log (* a b))))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (pow (* b a) 3) (/ (/ PI 2) (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (pow (* b a) 3) (/ (/ PI 2) (+ b a)))))) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI (* a b)) (* (+ a b) 2)) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (/ PI (* a b)) (* (+ a b) 2)) 3))) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (/ a (cbrt (/ (/ PI 2) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (/ PI 2) (+ a b))) (/ a (cbrt (/ (/ PI 2) (+ a b))))) (/ (cbrt (/ (/ PI 2) (+ a b))) b))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ PI 2) (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) a) (/ (cbrt (/ (/ PI 2) (+ a b))) b))) * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) a) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (/ PI 2) (+ a b))) a) (/ (sqrt (/ (/ PI 2) (+ a b))) b))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ PI 2) (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (/ PI 2) (+ a b))) a) (/ (sqrt (/ (/ PI 2) (+ a b))) b))) * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) a) (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) (/ (/ (cbrt (/ PI 2)) b) (cbrt (+ a b))))) * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (sqrt (+ b a)) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (sqrt (+ b a)) a)) (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ PI 2)) b) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) a) (/ (/ (cbrt (/ PI 2)) b) (sqrt (+ a b))))) * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) a) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) (/ (/ (cbrt (/ PI 2)) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ PI 2)) (+ a b)) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (+ a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) (/ (cbrt (/ PI 2)) (* (+ a b) b)))) * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) a) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) a) (/ (/ (sqrt (/ PI 2)) b) (cbrt (+ a b))))) * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) a) (sqrt (+ a b))) (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) b) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) a) (/ (/ (sqrt (/ PI 2)) b) (sqrt (+ a b))))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) 1) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI 2)) a) (/ (/ (sqrt (/ PI 2)) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ PI 2)) (+ a b)) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (+ a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) (* (+ a b) b)))) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ PI 2) (cbrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (cbrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) a) (/ (/ PI (* 2 b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 a) (sqrt (+ a b))) (/ (/ (/ PI 2) (sqrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (sqrt (+ a b))) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) a) (/ (/ PI (* 2 b)) (sqrt (+ a b))))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 a) (/ (/ (/ PI 2) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 a) (/ (/ (/ PI 2) b) (+ a b)))) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) a) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (* a (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (* a (cbrt (+ a b)))) (/ (/ (/ 1 2) (cbrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) 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 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) a) (/ (/ 1 (* 2 b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ a b))) a) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ PI a) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI a) (sqrt (+ a b))) (/ (/ (/ 1 2) (sqrt (+ a b))) b))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) 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 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* 2 b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (+ a b))) a) (/ (/ 1 (* 2 b)) (sqrt (+ a b))))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) a) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI a) (/ (/ (/ 1 2) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI a) (/ 1 (* (* 2 b) (+ a b))))) * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 a) (/ (/ (/ PI 2) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 a) (/ (/ (/ PI 2) b) (+ a b)))) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) a) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ PI (* a 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* a 2)) (/ (/ 1 (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI 2) a) (/ (/ 1 b) (+ a b)))) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) a) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI a) 2) (+ (pow a 3) (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) b))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (- b (* (/ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) a) (- b (* (/ a b) (- b a))))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- (* a a) (* b b))) a) * * [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 (114 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- a b) (* a 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (* (- a b) (* a 2))) (/ (- a b) b))) * [enter]simplify: Simplifying (/ (- a b) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (- a b) b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI 2) (- (* a a) (* b b))) a) (/ (- a b) b))) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (/ (* a b) (cbrt (/ (/ PI 2) (+ a b)))))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (/ PI 2) (+ a b))) (/ (* a b) (sqrt (/ (/ PI 2) (+ a b)))))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) (/ (* a b) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) (/ (* a b) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (* a b) (/ (cbrt (/ PI 2)) (+ a b))))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (* a b) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (* a b) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ PI 2)) (/ (* a b) (/ (sqrt (/ PI 2)) (+ a b))))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (* a b) (/ (/ PI 2) (cbrt (+ a b)))))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (+ a b))) (/ (* a b) (/ (/ PI 2) (sqrt (+ a b)))))) * * * * [misc]progress: [ 78 / 92 ] 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) (/ (/ PI 2) (+ a b))))) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (* a b) (/ (/ 1 2) (cbrt (+ a b)))))) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (sqrt (+ a b))) (/ (* a b) (/ (/ 1 2) (sqrt (+ a b)))))) * * * * [misc]progress: [ 81 / 92 ] 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) (/ (/ 1 2) (+ a b))))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (/ (* a b) (/ 1 (+ a b))))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (/ (* a b) (+ (* a a) (- (* b b) (* a b)))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (/ PI 2) (+ b a)) (- a b)) (/ (* a b) (- a b)))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (* (* a b) (+ a b)))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 90 / 92 ] 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: [ 91 / 92 ] 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: [ 92 / 92 ] 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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1/2 a) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* PI (/ 1/2 b)) 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 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 (/ 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 (- (/ 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 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 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 (- (/ 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 2) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (* PI 1/2) 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 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 b)))) (* 0 1/2)) 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 (+ (* 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 2)))) (+ (* 0 (- (* 1/2 (/ 1 b)))) (* 0 1/2))) 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 (- (/ 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 (+ (* 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 2) (+ (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (* PI -1/2) 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 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 b))) (* 0 -1/2)) 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (+ (* 1/2 (/ 0 2)) (* 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 (- 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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (+ (* 0 (* 1/2 (/ 1 b))) (* 0 -1/2))) 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 (/ 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 (- (/ 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 (- (/ 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]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1/2 a) into (/ 1/2 a) * [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]backup-simplify: Simplify (* PI (/ 1/2 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) a) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [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]backup-simplify: Simplify (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ a 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 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [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]backup-simplify: Simplify (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) 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 (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 b))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow b 2))))) (* 0 (/ 1/2 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 3))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 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 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 a) (/ 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 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (/ 1 b)) 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 (- (+ (* 1/2 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 b)))) (* 0 1/2)) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))))) 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 (- (+ (* 1/2 (/ 0 2)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 (pow b 2)))) (+ (* 0 (- (* 1/2 (/ 1 b)))) (* 0 1/2))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI (pow b 2))) (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))) (* (- (* 1/2 PI)) (/ 0 (/ 1 b))))) 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 (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [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]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]backup-simplify: Simplify (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [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]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]backup-simplify: Simplify (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 2) (+ (/ 1 (- a)) (/ 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 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [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]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]backup-simplify: Simplify (* PI -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) (/ 1 b)) 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 (- (+ (* 1/2 (/ 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 (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/2 (/ 1 b))) (* 0 -1/2)) into (* 1/2 (/ 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 (- 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) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI b)) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))))) 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 (- (+ (* 1/2 (/ 0 2)) (* 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 (- 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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* PI (- (* 1/2 (/ 1 (pow b 2))))) (+ (* 0 (* 1/2 (/ 1 b))) (* 0 -1/2))) into (- (* 1/2 (/ PI (pow b 2)))) * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI (pow b 2)))) (/ 1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 1 b))) (* (* 1/2 PI) (/ 0 (/ 1 b))))) 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: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1/2 a) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]backup-simplify: Simplify (+ 0 b) into 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 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 (+ (* 1/2 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1/2 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 (- (/ 0 1) (+ (* 1/2 (/ 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]approximate: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) 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 (- (/ 0 1) (+ (* 1/2 (/ (/ 1 b) 1)))) into (- (* 1/2 (/ 1 b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/2 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (- (* 1/2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 1/2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1/2 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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]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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (- (/ 1 b)) -1)))) into (* 1/2 (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 (+ (* 1/2 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 (- (+ (* 1/2 (/ 0 2)) (* 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 (- 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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (* 1/2 (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 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 (+ (* 1/2 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (* (cbrt (/ (/ 1 2) (+ a b))) (cbrt (/ (/ 1 2) (+ a b))))) (cbrt (/ (/ 1 2) (+ a b)))) (* a b))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (sqrt (/ (/ 1 2) (+ a b)))) (sqrt (/ (/ 1 2) (+ a b)))) (* a b))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (cbrt (/ 1 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ a b)))) (/ (cbrt (/ 1 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 12 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) (/ (cbrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 13 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (/ 1 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 (sqrt (+ a b)))) (/ (/ 1 2) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 1)) (/ (/ 1 2) (+ a b))) (* a b))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (/ 1 2) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 (sqrt (+ a b)))) (/ (/ 1 2) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ 1 1)) (/ (/ 1 2) (+ a b))) (* a b))) * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI 1) (/ (/ 1 2) (+ a b))) (* a b))) * * * * [misc]progress: [ 23 / 86 ] 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 2) to (λ (a b) (/ (* (* PI (/ 1 2)) (/ 1 (+ a b))) (* a b))) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (/ 1 2) (+ (pow a 3) (pow b 3)))) (- (* b b) (* (- b a) a))) (* a b))) * * * * [misc]progress: [ 25 / 86 ] 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) (/ (* (* PI (/ (/ 1 2) (- (* a a) (* b b)))) (- a b)) (* a b))) * * * * [misc]progress: [ 26 / 86 ] 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) to (λ (a b) (/ (/ (* PI (/ 1 2)) (+ b a)) (* a b))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* PI (/ (/ 1 2) (+ a b)))) (log (* a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (/ PI 2) (+ a b))) (log (* b a))))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* PI (/ (/ 1 2) (+ a b))) (* PI (/ (/ 1 2) (+ a b)))) (* PI (/ (/ 1 2) (+ a b)))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (* b a)) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (/ (/ PI 2) (+ a b)) (* b a)) 3))) * * * * [misc]progress: [ 33 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 86 ] 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) to (λ (a b) (* (/ PI a) (/ (/ (/ 1 2) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) b) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ 1 (* (* 2 b) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI a) (/ 1 (* (* 2 b) (+ a b))))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (* (* a b) (+ a b)))) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 2)) (log (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (- (log 2)) (log (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (exp (- (- (log 2)) (log (+ a b))))) (* a b))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (+ b a)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (cbrt (pow (/ (/ 1 2) (+ b a)) 3))) (* a b))) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (/ 1 2)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (* (/ (cbrt (/ 1 2)) (cbrt (+ b a))) (/ (cbrt (/ 1 2)) (cbrt (+ b a)))) (/ (cbrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ b a))) (/ (cbrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (+ a b))) (/ (cbrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (/ (cbrt (/ 1 2)) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (/ (cbrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 2)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ (/ (sqrt (/ 1 2)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ (sqrt (/ 1 2)) (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ (sqrt (/ 1 2)) (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 58 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (sqrt (/ 1 2)) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (sqrt (/ 1 2)) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 2) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ 1 (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ 1 (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 61 / 86 ] 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 2 1) to (λ (a b) (/ (* PI (* 1 (/ (/ 1 2) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* 1 (/ (/ 1 2) (+ a b)))) (* a b))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 2) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (* (/ 1 (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ 1 (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 64 / 86 ] 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 2 1) to (λ (a b) (/ (* PI (* 1 (/ (/ 1 2) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* 1 (/ (/ 1 2) (+ a b)))) (* a b))) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (/ (/ (/ 1 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 69 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 70 / 86 ] 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 2) to (λ (a b) (/ (* PI (/ (/ (/ 1 2) 1) (+ b a))) (* a b))) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (/ (+ a b) (cbrt (/ 1 2))))) (* a b))) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* PI (/ (sqrt (/ 1 2)) (/ (+ a b) (sqrt (/ 1 2))))) (* a b))) * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* PI (* (/ (/ 1 2) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a)))) (* a b))) * * * * [misc]progress: [ 76 / 86 ] 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 2) to (λ (a b) (/ (* PI (* (/ (/ 1 2) (- (* a a) (* b b))) (- a b))) (* a b))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 81 / 86 ] 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: [ 82 / 86 ] 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: [ 83 / 86 ] 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: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI 0) (* a b))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI 0) (* a b))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* PI 0) (* a b))) * * * [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 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (sqrt 1/2) a) into (/ (sqrt 1/2) a) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) b) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 1 b)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (sqrt 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 0 b)) (* (- (/ (sqrt 1/2) (pow b 2))) (/ 1 b)))) into (/ (sqrt 1/2) (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 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]approximate: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (/ 0 1) (+ (* (sqrt 1/2) (/ (/ 1 b) 1)))) into (- (/ (sqrt 1/2) b)) * [misc]taylor: Taking taylor expansion of (- (/ (sqrt 1/2) b)) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) b) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* (- (/ (sqrt 1/2) b)) (/ (/ 1 b) 1)))) into (/ (sqrt 1/2) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (* -1 (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (sqrt 1/2))) 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 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ (- (/ 1 b)) -1)))) into (/ (sqrt 1/2) b) * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) b) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 (- 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 (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ 0 -1)) (* (/ (sqrt 1/2) b) (/ (- (/ 1 b)) -1)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (sqrt 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (sqrt 1/2) a) into (/ (sqrt 1/2) a) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [misc]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) b)) into (/ (* PI (pow (sqrt 1/2) 2)) b) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 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 (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 1 b)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) (pow b 2)))) (* 0 (/ (sqrt 1/2) b))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 0 b)) (* (- (/ (sqrt 1/2) (pow b 2))) (/ 1 b)))) into (/ (sqrt 1/2) (pow b 3)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) (pow b 3))) (+ (* 0 (- (/ (sqrt 1/2) (pow b 2)))) (* 0 (/ (sqrt 1/2) b)))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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]approximate: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (sqrt 1/2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify 0 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 (- (/ 0 1) (+ (* (sqrt 1/2) (/ (/ 1 b) 1)))) into (- (/ (sqrt 1/2) b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) b))) (* 0 (sqrt 1/2))) into (- (/ (* PI (pow (sqrt 1/2) 2)) b)) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) b)) in b * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 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 (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* (- (/ (sqrt 1/2) b)) (/ (/ 1 b) 1)))) into (/ (sqrt 1/2) (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) (pow b 2))) (+ (* 0 (- (/ (sqrt 1/2) b))) (* 0 (sqrt 1/2)))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [misc]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (* -1 (sqrt 1/2))) into (* -1 (* PI (pow (sqrt 1/2) 2))) * [misc]taylor: Taking taylor expansion of (* -1 (* PI (pow (sqrt 1/2) 2))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* PI (pow (sqrt 1/2) 2)))) 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 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ (- (/ 1 b)) -1)))) into (/ (sqrt 1/2) b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) b)) (* 0 (* -1 (sqrt 1/2)))) into (/ (* PI (pow (sqrt 1/2) 2)) b) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 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 (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* PI (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 (- 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 (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ 0 -1)) (* (/ (sqrt 1/2) b) (/ (- (/ 1 b)) -1)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) (pow b 2)))) (+ (* 0 (/ (sqrt 1/2) b)) (* 0 (* -1 (sqrt 1/2))))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (pow (sqrt 1/2) 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b)) in b * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (sqrt 1/2) a) into (/ (sqrt 1/2) a) * [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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) a)) into (/ (* PI (pow (sqrt 1/2) 2)) a) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ (/ (* PI (pow (sqrt 1/2) 2)) a) a) into (/ (* PI (pow (sqrt 1/2) 2)) (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) b)) into (/ (* PI (pow (sqrt 1/2) 2)) b) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (/ (* PI (pow (sqrt 1/2) 2)) b) b) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b)) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (sqrt 1/2) b) into (/ (sqrt 1/2) b) * [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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) b)) into (/ (* PI (pow (sqrt 1/2) 2)) b) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (/ (/ (* PI (pow (sqrt 1/2) 2)) b) b) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 1 b)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) (pow b 2)))) (* 0 (/ (sqrt 1/2) b))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) b) (+ (* (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) (/ 0 b)))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (sqrt 1/2) b) (/ 0 b)) (* (- (/ (sqrt 1/2) (pow b 2))) (/ 1 b)))) into (/ (sqrt 1/2) (pow b 3)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) (pow b 3))) (+ (* 0 (- (/ (sqrt 1/2) (pow b 2)))) (* 0 (/ (sqrt 1/2) b)))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3)) b) (+ (* (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) (/ 0 b)) (* (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 3))) (/ 0 b)))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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]approximate: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [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 (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (sqrt 1/2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (/ 1 a)) into (* PI (* a (pow (sqrt 1/2) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [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 (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (sqrt 1/2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (/ 1 b)) into (* PI (* b (pow (sqrt 1/2) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [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 (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (sqrt 1/2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) (/ 1 b)) into (* PI (* b (pow (sqrt 1/2) 2))) * [misc]taylor: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 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 (* b (pow (sqrt 1/2) 2)) 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 (pow (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 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 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ (/ 1 b) 1)))) into (- (/ (sqrt 1/2) b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) b))) (* 0 (sqrt 1/2))) into (- (/ (* PI (pow (sqrt 1/2) 2)) b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ (* PI (pow (sqrt 1/2) 2)) b)) (/ 1 b)) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ 0 (/ 1 b))))) into (- (* PI (pow (sqrt 1/2) 2))) * [misc]taylor: Taking taylor expansion of (- (* PI (pow (sqrt 1/2) 2))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* (- (/ (sqrt 1/2) b)) (/ (/ 1 b) 1)))) into (/ (sqrt 1/2) (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) (pow b 2))) (+ (* 0 (- (/ (sqrt 1/2) b))) (* 0 (sqrt 1/2)))) into (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2)) (/ 1 b)) (+ (* (* PI (* b (pow (sqrt 1/2) 2))) (/ 0 (/ 1 b))) (* (- (* PI (pow (sqrt 1/2) 2))) (/ 0 (/ 1 b))))) into (/ (* PI (pow (sqrt 1/2) 2)) b) * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 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 (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 1/2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 1/2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 1/2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 1/2) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 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 (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 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]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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [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]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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (* -1 (sqrt 1/2))) into (* -1 (* PI (pow (sqrt 1/2) 2))) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (* -1 (* PI (pow (sqrt 1/2) 2))) (/ 1 a)) into (* -1 (* PI (* a (pow (sqrt 1/2) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [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]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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (* -1 (sqrt 1/2))) into (* -1 (* PI (pow (sqrt 1/2) 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 (* PI (pow (sqrt 1/2) 2))) (/ 1 b)) into (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (sqrt (/ 1 2)) 1)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ 1 2)) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 2)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [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]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) -1) into (* -1 (sqrt 1/2)) * [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]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]backup-simplify: Simplify (* PI (sqrt 1/2)) into (* PI (sqrt 1/2)) * [misc]backup-simplify: Simplify (* (* PI (sqrt 1/2)) (* -1 (sqrt 1/2))) into (* -1 (* PI (pow (sqrt 1/2) 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (* -1 (* PI (pow (sqrt 1/2) 2))) (/ 1 b)) into (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* PI (* b (pow (sqrt 1/2) 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 (* b (pow (sqrt 1/2) 2)) 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 (pow (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sqrt 1/2) 2))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (* 0 (pow (sqrt 1/2) 2)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI (pow (sqrt 1/2) 2)) (* 0 0)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 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 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ (- (/ 1 b)) -1)))) into (/ (sqrt 1/2) b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (/ (sqrt 1/2) b)) (* 0 (* -1 (sqrt 1/2)))) into (/ (* PI (pow (sqrt 1/2) 2)) 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 (- 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) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ (* PI (pow (sqrt 1/2) 2)) b) (/ 1 b)) (+ (* (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) (/ 0 (/ 1 b))))) into (* PI (pow (sqrt 1/2) 2)) * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) 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 (- 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 (- (/ 0 -1) (+ (* (* -1 (sqrt 1/2)) (/ 0 -1)) (* (/ (sqrt 1/2) b) (/ (- (/ 1 b)) -1)))) into (- (/ (sqrt 1/2) (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* PI (sqrt 1/2)) (- (/ (sqrt 1/2) (pow b 2)))) (+ (* 0 (/ (sqrt 1/2) b)) (* 0 (* -1 (sqrt 1/2))))) into (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ (* PI (pow (sqrt 1/2) 2)) (pow b 2))) (/ 1 b)) (+ (* (* -1 (* PI (* b (pow (sqrt 1/2) 2)))) (/ 0 (/ 1 b))) (* (* PI (pow (sqrt 1/2) 2)) (/ 0 (/ 1 b))))) into (- (/ (* PI (pow (sqrt 1/2) 2)) b)) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (pow (sqrt 1/2) 2)) b)) in b * [misc]taylor: Taking taylor expansion of (/ (* PI (pow (sqrt 1/2) 2)) b) in b * [misc]taylor: Taking taylor expansion of (* PI (pow (sqrt 1/2) 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 (sqrt 1/2) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 1/2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 1/2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sqrt 1/2)) in b * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 1/2)) into (log (sqrt 1/2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 1/2))) into (* 2 (log (sqrt 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 1/2)))) into (pow (sqrt 1/2) 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 (* PI (pow (sqrt 1/2) 2)) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (* PI (pow (sqrt 1/2) 2)) 1) into (* PI (pow (sqrt 1/2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 1/2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 1/2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow (sqrt 1/2) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (pow (sqrt 1/2) 2)) (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 1/2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 1/2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 1/2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 1/2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 1/2) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 1/2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (sqrt 1/2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 1/2) 2)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* PI (pow (sqrt 1/2) 2))) (* 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 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (/ 1 2))) (log (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (log (sqrt (/ 1 2))) (log (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (exp (- (log (sqrt (/ 1 2))) (log (+ b a))))) (* a b))) * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (/ 1 2)) (sqrt (/ 1 2))) (sqrt (/ 1 2))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (* (* (+ a b) (+ a b)) (* 2 (+ a b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (cbrt (/ (sqrt (/ 1 2)) (* (* (+ a b) (+ a b)) (* 2 (+ a b)))))) (* a b))) * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b))) (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (* (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b))) (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b)))) (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (/ (sqrt (+ a b)) (cbrt (sqrt (/ 1 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (cbrt (sqrt (/ 1 2))) (/ (sqrt (+ a b)) (cbrt (sqrt (/ 1 2))))) (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (sqrt (+ a b))) (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (/ (cbrt (sqrt (/ 1 2))) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (/ (cbrt (sqrt (/ 1 2))) (+ b a)))) (* a b))) * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (fabs (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (fabs (cbrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ 1 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (fabs (cbrt (/ 1 2))) (sqrt (+ a b))) (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (fabs (cbrt (/ 1 2))) (sqrt (+ a b))) (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (fabs (cbrt (/ 1 2))) (/ (sqrt (cbrt (/ 1 2))) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (fabs (cbrt (/ 1 2))) (/ (sqrt (cbrt (/ 1 2))) (+ b a)))) (* a b))) * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt (sqrt (/ 1 2))) (/ (sqrt (sqrt (/ 1 2))) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt (sqrt (/ 1 2))) (/ (sqrt (sqrt (/ 1 2))) (+ b a)))) (* a b))) * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (/ (sqrt 1) (cbrt (+ b a))) (cbrt (+ b a))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (sqrt (+ b a))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt 1) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt 1) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (/ (sqrt 1) (cbrt (+ b a))) (cbrt (+ b a))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (sqrt (+ b a))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt 1) (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt 1) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt 1) (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))))) (* a b))) * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt (sqrt (/ 1 2))) (/ (sqrt (sqrt (/ 1 2))) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (sqrt (sqrt (/ 1 2))) (/ (sqrt (sqrt (/ 1 2))) (+ b a)))) (* a b))) * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ 1 2)) (cbrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ 1 (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ 1 (sqrt (+ a b))) (/ (sqrt (/ 1 2)) (sqrt (+ a b))))) (* a b))) * * * * [misc]progress: [ 30 / 121 ] 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 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* 1 (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* 1 (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (/ (sqrt (/ 1 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (/ (sqrt (/ 1 2)) (sqrt (+ a b))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 36 / 121 ] 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 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (/ (sqrt (/ 1 2)) 1) (+ b a))) (* a b))) * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (/ (+ a b) (cbrt (sqrt (/ 1 2)))))) (* a b))) * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (fabs (cbrt (/ 1 2))) (/ (+ a b) (sqrt (cbrt (/ 1 2)))))) (* a b))) * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (/ (+ a b) (sqrt (sqrt (/ 1 2)))))) (* a b))) * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (/ (+ a b) (sqrt (/ 1 2))))) (* a b))) * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (/ (+ a b) (sqrt (/ 1 2))))) (* a b))) * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 1 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (/ (+ a b) (sqrt (sqrt (/ 1 2)))))) (* a b))) * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (/ 1 2)) (+ (pow a 3) (pow b 3))) (- (* b b) (* (- b a) a)))) (* a b))) * * * * [misc]progress: [ 45 / 121 ] 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 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (/ (sqrt (/ 1 2)) (- (* a a) (* b b))) (- a b))) (* a b))) * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (* (+ a b) (sqrt 2)))) (* a b))) * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (/ (/ PI 2) (+ b a)) 1) (* a b))) * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* PI (/ (sqrt (/ 1 2)) 1))) (- (log (sqrt (/ 1 2))) (log (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (/ 1 2))) (log (+ a b))) (log (* (sqrt (/ 1 2)) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (- (log (sqrt (/ 1 2))) (log (+ a b))) (log (* (sqrt (/ 1 2)) PI)))) (* a b))) * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* PI (/ (sqrt (/ 1 2)) 1))) (log (/ (sqrt (/ 1 2)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (/ 1 2)) (+ b a))) (log (* (sqrt (/ 1 2)) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (log (/ (sqrt (/ 1 2)) (+ b a))) (log (* (sqrt (/ 1 2)) PI)))) (* a b))) * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (* PI (/ (sqrt (/ 1 2)) 1))) (* PI (/ (sqrt (/ 1 2)) 1))) (/ (* (* (sqrt (/ 1 2)) (sqrt (/ 1 2))) (sqrt (/ 1 2))) (* (* (+ a b) (+ a b)) (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 1 2) (+ a b)) (* (+ a b) (+ a b))) (* (* (/ 1 2) (* PI PI)) (* (/ 1 2) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (/ (/ (/ 1 2) (+ a b)) (* (+ a b) (+ a b))) (* (* (/ 1 2) (* PI PI)) (* (/ 1 2) PI)))) (* a b))) * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (* PI (/ (sqrt (/ 1 2)) 1))) (* PI (/ (sqrt (/ 1 2)) 1))) (* (* (/ (sqrt (/ 1 2)) (+ a b)) (/ (sqrt (/ 1 2)) (+ a b))) (/ (sqrt (/ 1 2)) (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (* (* (* (/ 1 2) (* PI PI)) PI) (* (/ (/ 1 2) (+ a b)) (/ (/ (/ 1 2) (+ a b)) (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (* (* (/ 1 2) (* PI PI)) PI) (* (/ (/ 1 2) (+ a b)) (/ (/ (/ 1 2) (+ a b)) (+ a b))))) (* a b))) * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (sqrt (/ 1 2))) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ PI 2) (* 1 (+ a b))) (* a b))) * [enter]simplify: Simplifying (* 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* a b))) * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 1 2)) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 1 2)) (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (* (cbrt (/ (sqrt (/ 1 2)) (+ a b))) (cbrt (/ (sqrt (/ 1 2)) (+ a b))))) (cbrt (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ 1 2)) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ 1 2)) (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (sqrt (/ (sqrt (/ 1 2)) (+ a b)))) (sqrt (/ (sqrt (/ 1 2)) (+ a b)))) (* a b))) * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (cbrt (sqrt (/ 1 2))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) (sqrt (+ a b)))) (/ (cbrt (sqrt (/ 1 2))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (* (cbrt (sqrt (/ 1 2))) (cbrt (sqrt (/ 1 2)))) 1)) (/ (cbrt (sqrt (/ 1 2))) (+ b a))) (* a b))) * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (cbrt (/ 1 2))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (sqrt (+ a b)))) (/ (sqrt (cbrt (/ 1 2))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) 1)) (/ (sqrt (cbrt (/ 1 2))) (+ b a))) (* a b))) * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b)))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) 1)) (/ (sqrt (sqrt (/ 1 2))) (+ b a))) (* a b))) * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (/ 1 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (sqrt (+ a b)))) (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (/ 1 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) (sqrt (+ a b)))) (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (sqrt (/ 1 2))) (cbrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ a b)))) (/ (sqrt (sqrt (/ 1 2))) (sqrt (+ b a)))) (* a b))) * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ 1 2))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ 1 2))) (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (sqrt (/ 1 2))) 1)) (/ (sqrt (sqrt (/ 1 2))) (+ b a))) (* a b))) * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (sqrt (/ 1 2)) (cbrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ 1 (sqrt (+ a b)))) (/ (sqrt (/ 1 2)) (sqrt (+ a b)))) (* a b))) * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ 1 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (+ a b)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) 1) (/ (sqrt (/ 1 2)) (+ a b))) (* a b))) * * * * [misc]progress: [ 84 / 121 ] 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 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (sqrt (/ 1 2))) (/ 1 (+ a b))) (* a b))) * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* b b) (* (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ (pow a 3) (pow b 3)))) (- (* b b) (* (- b a) a))) (* a b))) * * * * [misc]progress: [ 86 / 121 ] 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) (/ (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (- (* a a) (* b b)))) (- a b)) (* a b))) * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 121 ] 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) to (λ (a b) (/ (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) (sqrt (/ 1 2))) (+ b a)) (* a b))) * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (sqrt (/ 1 2))) (/ (sqrt (/ 1 2)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (/ PI 2) (+ a b)) 1) (* a b))) * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (* PI (/ (sqrt (/ 1 2)) 1))) (- (log (sqrt (/ 1 2))) (log (+ a b)))) (log (* a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (/ 1 2))) (- (log (+ a b)) (log PI))) (- (log (sqrt (/ 1 2))) (log (* b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (sqrt (/ 1 2))) (- (log (+ a b)) (log PI))) (- (log (sqrt (/ 1 2))) (log (* b a)))))) * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (* PI (/ (sqrt (/ 1 2)) 1))) (log (/ (sqrt (/ 1 2)) (+ a b)))) (log (* a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (- (- (log (sqrt (/ 1 2))) (log (* a b))) (- (- (log (+ b a)) (log PI)) (log (sqrt (/ 1 2))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (sqrt (/ 1 2))) (log (* a b))) (- (- (log (+ b a)) (log PI)) (log (sqrt (/ 1 2))))))) * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b)))) (log (* a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (- (log (* PI (/ 1 2))) (+ (log (+ b a)) (log (* b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (* PI (/ 1 2))) (+ (log (+ b a)) (log (* b a)))))) * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (* PI (/ (sqrt (/ 1 2)) 1))) (* PI (/ (sqrt (/ 1 2)) 1))) (/ (* (* (sqrt (/ 1 2)) (sqrt (/ 1 2))) (sqrt (/ 1 2))) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (421 enodes) * [exit]simplify: Simplified to (* (/ (* (/ 1 2) (* PI PI)) (* (* a b) (* a b))) (/ (* PI (* (/ 1 2) (/ 1 2))) (* (* (+ a b) (* a b)) (* (+ a b) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (/ 1 2) (* PI PI)) (* (* a b) (* a b))) (/ (* PI (* (/ 1 2) (/ 1 2))) (* (* (+ a b) (* a b)) (* (+ a b) (+ a b))))))) * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (* PI (/ (sqrt (/ 1 2)) 1))) (* PI (/ (sqrt (/ 1 2)) 1))) (* (* (/ (sqrt (/ 1 2)) (+ a b)) (/ (sqrt (/ 1 2)) (+ a b))) (/ (sqrt (/ 1 2)) (+ a b)))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (/ (* (* PI (/ (/ 1 2) (+ a b))) (* (* PI (/ 1 2)) PI)) (/ (* (* (* b a) (* b a)) a) (/ (/ (/ 1 2) (+ a b)) (* b (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (* PI (/ (/ 1 2) (+ a b))) (* (* PI (/ 1 2)) PI)) (/ (* (* (* b a) (* b a)) a) (/ (/ (/ 1 2) (+ a b)) (* b (+ a b))))))) * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b))) (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b)))) (* (* PI (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (+ a b)))) (* (* (* a b) (* a b)) (* a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (pow (/ (* (/ 1 2) PI) (* (* b a) (+ b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (* (/ 1 2) PI) (* (* b a) (+ b a))) 3))) * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (sqrt (/ 1 2)) 1)) a) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (/ a PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 2)) (/ a PI)) (/ (/ (sqrt (/ 1 2)) (+ a b)) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 1 2)) (+ a b)) b) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (* (+ a b) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 2)) (/ a PI)) (/ (sqrt (/ 1 2)) (* (+ a b) b)))) * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (/ 1 2)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 2)) PI) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (sqrt (/ 1 2)) PI) (/ (* a b) (/ (sqrt (/ 1 2)) (+ a b))))) * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (sqrt (/ 1 2))) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (* (* a b) (* 1 (+ a b))))) * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ (sqrt (/ 1 2)) 1)) (sqrt (/ 1 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (* (* a b) (+ a b)))) * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (sqrt (/ 1 2))) (/ (sqrt (/ 1 2)) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI 2) (+ a b)) (* (* a b) 1))) * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) 0) (* a b))) * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) 0) (* a b))) * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* PI (/ (sqrt (/ 1 2)) 1)) 0) (* a b))) * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (* a b))) * * * * [misc]progress: [ 119 / 121 ] 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: [ 120 / 121 ] 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: [ 121 / 121 ] 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 2) (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (* 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: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1302 additional inputs, on iter 1 have 6698 / 8000 * * * * [misc]points: Computing exacts on every 81 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 40 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 20 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1302 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1302 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 200 additional inputs, on iter 2 have 7800 / 8000 * * * * [misc]points: Computing exacts on every 12 of 200 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 200 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 200 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 200 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 28 additional inputs, on iter 3 have 7972 / 8000 * * * * [misc]points: Computing exacts for 28 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 5 additional inputs, on iter 4 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 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 8003 points with exact outputs