* [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 54 additional inputs, on iter 1 have 202 / 256 * * * * [misc]points: Computing exacts on every 3 of 54 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 54 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 9 additional inputs, on iter 2 have 247 / 256 * * * * [misc]points: Computing exacts for 9 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 258 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 / 3 ] 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 / 3 ] 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 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 116 ] 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)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (+ (log (- b a)) (log (+ b a))) (log (/ PI 2)))) * * * * [misc]progress: [ 4 / 116 ] 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)))) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (* (+ b a) (- b a)))) (log (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 5 / 116 ] 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)))) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (- b a)) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (- b a)) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (pow (exp (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (pow (exp (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 8 / 116 ] 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)))) * [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]progress: [ 9 / 116 ] 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))))) * [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]progress: [ 10 / 116 ] 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))))) * [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]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (* (+ b a) 2) PI)))) * [enter]simplify: Simplifying (cbrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a)))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) 3) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) 3) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [enter]simplify: Simplifying (sqrt (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (* (/ (/ PI 2) (+ b a)) (- (/ 1 a) (/ 1 b))) (- b a))) * * * * [misc]progress: [ 14 / 116 ] 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)) * [exit]simplify: Simplified to (* (/ PI 2) (- 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)) * [exit]simplify: Simplified to (* (* a (- b a)) (* (+ b a) b)) * * * * [misc]progress: [ 15 / 116 ] 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))) * [exit]simplify: Simplified to (- (/ (/ PI 2) (pow a 3)) (/ (/ PI 2) (pow b 3))) * [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))) * [exit]simplify: Simplified to (* (+ (* (/ 1 b) (+ (/ 1 b) (/ 1 a))) (/ (/ 1 a) a)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 16 / 116 ] 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))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (+ (/ 1 b) (/ 1 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))) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (+ (/ 1 b) (/ 1 a))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (- (/ 1 a) (/ 1 b))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (- (/ 1 a) (/ 1 b))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI 2)) (+ b a))) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (/ (cbrt (/ PI 2)) (+ b a))) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* (+ b a) b))) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* (+ b a) b))) * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (+ (pow a 3) (pow b 3)) (+ b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (+ (pow a 3) (pow b 3)) (+ b a))) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (* (+ b a) 2) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (* (+ b a) 2) PI)) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (* (+ b a) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (/ PI (- b a)) (* (+ b a) (- b a))) (/ 2 (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 36 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) (/ (/ PI 2) (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 38 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 39 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 40 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 41 / 116 ] 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)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (* (+ b a) 2)) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 43 / 116 ] 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)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ a b)) * * * * [misc]progress: [ 44 / 116 ] 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))) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (/ (/ PI 2) (- b a)) (+ a b))) * * * * [misc]progress: [ 45 / 116 ] 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)))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) (* (- b a) (/ (+ a b) (/ PI 2)))) * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 116 ] 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))) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (- b a))) (log (+ b a))) * * * * [misc]progress: [ 49 / 116 ] 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)))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 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 (112 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (exp (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 52 / 116 ] 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)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ a b)) (pow (- b a) 3)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b)))) * * * * [misc]progress: [ 53 / 116 ] 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) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (+ a b)) (- b a)) 3) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (* (+ b a) (- b a)))) (cbrt (/ (/ PI 2) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))) * [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))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (/ (/ PI 2) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (- b a)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (- b a)) (+ b a)) 3) * * * * [misc]progress: [ 56 / 116 ] 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))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * [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))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * * * * [misc]progress: [ 58 / 116 ] 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)))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (/ (+ a b) (cbrt (/ PI 2)))) * [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)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 59 / 116 ] 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)) * [exit]simplify: Simplified to (/ (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)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 60 / 116 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ 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)) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * * * * [misc]progress: [ 61 / 116 ] 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)) * [exit]simplify: Simplified to (/ PI (+ 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)) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 116 ] 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)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (+ b a)) * * [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) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ PI 2))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ PI 2))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- b a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (/ 1 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ (pow b 3) (pow a 3))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ (pow b 3) (pow a 3))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ (/ PI 2) (+ a b)) (- (pow b 3) (pow a 3))) (- b a)) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ b a) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (pow b 3) (pow a 3))) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ b a) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- (* b b) (* a a))) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (+ (pow b 3) (pow a 3)) (- b a))) * * [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 (135 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (+ (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (+ (pow b 3) (pow a 3))) * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (- (* b b) (* a a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * * * * [misc]progress: [ 79 / 116 ] 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)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 116 ] 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))) * [exit]simplify: Simplified to (+ (log (- b a)) (log (+ a b))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (log (* (+ a b) (- b a))) * [exit]simplify: Simplified to (log (* (+ a b) (- b a))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (exp (* (+ a b) (- b a))) * [exit]simplify: Simplified to (exp (* (+ a b) (- b a))) * * * * [misc]progress: [ 84 / 116 ] 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)) * [exit]simplify: Simplified to (* (pow (- b a) 3) (pow (+ a b) 3)) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ a b) (- b a))) (cbrt (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (* (+ a b) (- b a))) (cbrt (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (cbrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cbrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (cbrt (* (+ a b) (- b a))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * [exit]simplify: Simplified to (pow (* (+ a b) (- b a)) 3) * [exit]simplify: Simplified to (pow (* (+ a b) (- b a)) 3) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [enter]simplify: Simplifying (sqrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * * * * [misc]progress: [ 88 / 116 ] 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))) * [exit]simplify: Simplified to (* (- (pow b 3) (pow a 3)) (+ (pow a 3) (pow b 3))) * [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))) * [exit]simplify: Simplified to (* (+ (* (+ b a) b) (* a a)) (+ (* b b) (* (- a b) a))) * * * * [misc]progress: [ 89 / 116 ] 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))) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (+ (pow a 3) (pow b 3))) * [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))) * [exit]simplify: Simplified to (* (+ b a) (+ (* b b) (* (- a b) a))) * * * * [misc]progress: [ 90 / 116 ] 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))) * [exit]simplify: Simplified to (* (- (pow b 3) (pow a 3)) (* (+ b 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)) * [exit]simplify: Simplified to (* (+ (* (+ a b) b) (* a a)) (- b a)) * * * * [misc]progress: [ 91 / 116 ] 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))) * [exit]simplify: Simplified to (* (* (- 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)) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [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)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [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)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [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)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [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)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (* (* (+ a b) (cbrt (- b a))) (cbrt (- b a))) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (+ a b) (sqrt (- b a))) * [exit]simplify: Simplified to (* (+ a b) (sqrt (- b a))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (+ a b) * [exit]simplify: Simplified to (+ a b) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ b a)) (- b a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ a b)) (- b a)) * [exit]simplify: Simplified to (* (cbrt (+ a b)) (- b a)) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ b a)) (- b a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (+ a b)) (- b a)) * [exit]simplify: Simplified to (* (sqrt (+ a b)) (- b a)) * * * * [misc]progress: [ 102 / 116 ] 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)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- (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 (95 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (* (+ a b) (- (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (* (+ a b) (- (pow b 3) (pow a 3))) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (- b a) (* (+ a b) (+ a b))) * [exit]simplify: Simplified to (* (- b a) (* (+ a b) (+ a b))) * * * * [misc]progress: [ 105 / 116 ] 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))) * [exit]simplify: Simplified to (* (- b a) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 106 / 116 ] 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))) * [exit]simplify: Simplified to (* (+ b a) (* (- b a) (- b a))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) 0) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (pow b 2) (pow a 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (pow b 2) (pow a 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (pow b 2) (pow a 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (+ a b))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 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 (24 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (+ a b))) * * * * [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) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ b a)) 3) * * * * [misc]progress: [ 6 / 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)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (/ 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 (cbrt (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (+ a b)) 3) * * * * [misc]progress: [ 8 / 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))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * [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))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (+ a b))) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- b) a) * [exit]simplify: Simplified to (- (- b) a) * * * * [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)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) * [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))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (+ 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))) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (+ b a))) (cbrt (/ PI 2))) * [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))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (+ 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))) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [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)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (+ 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))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ 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))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (+ 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)) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [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)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ 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))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 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))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ 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 * [exit]simplify: Simplified to 1 * [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)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ 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)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ a b)) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ 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))) * [exit]simplify: Simplified to (/ PI (sqrt (+ 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))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ 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 * [exit]simplify: Simplified to PI * [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)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ a b)) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 92 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ PI 2)) * * [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 (15 enodes) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a 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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt (+ a b))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [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))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ a b))) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ PI 2))) * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ PI 2))) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ PI 2)) * * [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 (15 enodes) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [misc]progress: [ 32 / 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))) * [exit]simplify: Simplified to (/ (/ PI 2) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 33 / 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)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- a b)) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (+ b a) 2) * [exit]simplify: Simplified to (* (+ b a) 2) * * * * [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))) * [exit]simplify: Simplified to (- (- (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))) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (+ a b))) (log (* a b))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI a) 2) (* (+ a b) b))) * [exit]simplify: Simplified to (log (/ (/ (/ PI a) 2) (* (+ a b) b))) * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (exp (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [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)))) * [exit]simplify: Simplified to (/ (* (/ (/ 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) * [exit]simplify: Simplified to (pow (/ (/ PI (* a b)) (* (+ a b) 2)) 3) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b))) (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (+ a b)) (* b (* a 2)))) (cbrt (/ (/ PI (+ a b)) (* b (* a 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI (+ a b)) (* b (* a 2)))) (cbrt (/ (/ PI (+ a b)) (* b (* a 2))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ PI 2) (+ a b)) (* a b)) (/ (/ (/ PI 2) (+ a b)) (* a b))) (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (* a b)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ PI 2) (* a b)) (+ a b)) 3) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ PI 2) (+ a b)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ a b)) (* a 2))) * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ PI 2) (+ a b))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) (+ a b))) * [exit]simplify: Simplified to (- (/ (/ PI 2) (+ a b))) * [enter]simplify: Simplifying (- (* a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* a (- b)) * [exit]simplify: Simplified to (* a (- b)) * * * * [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))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ PI 2) (+ a b))) (/ a (cbrt (/ (/ PI 2) (+ a 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) * [exit]simplify: Simplified to (/ (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) * [exit]simplify: Simplified to (/ (sqrt (/ (/ PI 2) (+ a b))) a) * [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) * [exit]simplify: Simplified to (/ (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) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (+ b a))) (/ (cbrt (/ PI 2)) (cbrt (+ b a)))) a) * [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))) * [exit]simplify: Simplified to (/ (/ (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)) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (sqrt (+ b a)) a)) * [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))) * [exit]simplify: Simplified to (/ (/ (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) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) a) * [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)) * [exit]simplify: Simplified to (/ (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)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (* (cbrt (+ a b)) (cbrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ (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))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) a) (sqrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ (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) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) a) * [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)) * [exit]simplify: Simplified to (/ (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))) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (cbrt (+ a b))) (cbrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ 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))) * [exit]simplify: Simplified to (/ (/ 1 a) (sqrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ 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) * [exit]simplify: Simplified to (/ 1 a) * [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)) * [exit]simplify: Simplified to (/ (/ (/ 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)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (* a (cbrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ 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))) * [exit]simplify: Simplified to (/ (/ PI a) (sqrt (+ a 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))) * [exit]simplify: Simplified to (/ (/ 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) * [exit]simplify: Simplified to (/ PI a) * [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))) * [exit]simplify: Simplified to (/ 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) * [exit]simplify: Simplified to (/ 1 a) * [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)) * [exit]simplify: Simplified to (/ (/ (/ 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)) * [exit]simplify: Simplified to (/ PI (* a 2)) * [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)) * [exit]simplify: Simplified to (/ (/ 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))) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (+ (pow a 3) (pow b 3))) * [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))) * [exit]simplify: Simplified to (- 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))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- a b) (* a 2))) * [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) * [exit]simplify: Simplified to (/ (- a b) b) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* b a)) * [exit]simplify: Simplified to (/ 1 (* b a)) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI 2) (+ a b)) a) * * [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 (* a 2)) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI (* a 2)) (+ a b)) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (cbrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (* b a) (cbrt (/ (/ PI 2) (+ b a)))) * [exit]simplify: Simplified to (/ (* b a) (cbrt (/ (/ PI 2) (+ b a)))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (sqrt (/ (/ PI 2) (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (* b a) (sqrt (/ (/ PI 2) (+ b a)))) * [exit]simplify: Simplified to (/ (* b a) (sqrt (/ (/ PI 2) (+ b a)))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (cbrt (/ PI 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (cbrt (/ PI 2)) (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (cbrt (/ PI 2))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* b a) (sqrt (/ PI 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (sqrt (/ PI 2)) (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (* (+ b a) (* b a)) (sqrt (/ PI 2))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (cbrt (+ b a))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (/ (* a 2) (/ PI b)) (sqrt (+ b a))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (* (* b a) 2)) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (* (* b a) 2)) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) (* (* b a) 2)) * [exit]simplify: Simplified to (* (sqrt (+ b a)) (* (* b a) 2)) * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ (/ PI 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (/ (* (+ b a) b) (/ (/ PI 2) a)) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (/ 1 (+ a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (+ (* a a) (- (* b b) (* a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ b (- (/ (* b b) a) (- b a))) * [exit]simplify: Simplified to (/ b (- (/ (* b b) a) (- b a))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a b) (- a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (* b a) (- a b)) * [exit]simplify: Simplified to (/ (* b a) (- a b)) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a b) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * [exit]simplify: Simplified to (* (* b a) (+ b a)) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 2 (- a)) into (* -2 a) * [misc]backup-simplify: Simplify (/ (- PI) (* -2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 2 -1) (* 0 b)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -1) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* PI a) 0) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI a) 2) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 b)) (* 0 -1)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI -2) (+ (* (* 1/2 (* PI b)) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (+ (* 2 0) (+ (* 0 (/ 1 b)) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* PI b)) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) 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 (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (/ 1 b)) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* PI b)) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) 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 (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* PI a)) 0) into (- (* PI a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI a)) -2) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 b))) (* 0 1)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* PI b)) (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) 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 (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* b a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 2 (- a)) into (* -2 a) * [misc]backup-simplify: Simplify (/ (- PI) (* -2 a)) into (* 1/2 (/ PI 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 (/ (* 1/2 (/ PI a)) a) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) 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 a) (/ PI b)) (* 2 (- b a))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- b a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) 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 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 2 -1) (* 0 b)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 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 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 -1) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (+ (* PI a) 0) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI a) 2) into (* 1/2 (* PI 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 (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* PI b)) * [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 (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [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 (- (* PI b)) into (- (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (* PI b))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* PI b)) * [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 (/ (* 1/2 (* PI 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 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 b)) (* 0 -1)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI -2) (+ (* (* 1/2 (* PI b)) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) 1)))) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (+ (* 2 0) (+ (* 0 (/ 1 b)) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* PI b)) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI b)) (/ 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 (- (/ 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 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [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 (* PI a)) 0) into (- (* PI a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI a)) -2) into (* 1/2 (* PI 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 (/ (* 1/2 (* PI a)) -1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [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 (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 2 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 (* PI b))) into (* PI b) * [misc]backup-simplify: Simplify (+ 0 (* PI b)) into (* PI b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [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 (/ (* 1/2 (* PI 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 2 (- (/ 1 b))) (* 0 1)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* PI b)) (/ (- (* 2 (/ 1 b))) 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 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -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 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 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 (- (/ 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 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI a)) * [exit]simplify: Simplified to (log (/ PI a)) * * * * [misc]progress: [ 3 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI a)) * [exit]simplify: Simplified to (exp (/ PI a)) * * * * [misc]progress: [ 4 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI a)) (cbrt (/ PI a))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI a)) (cbrt (/ PI a))) * [exit]simplify: Simplified to (* (cbrt (/ PI a)) (cbrt (/ PI a))) * [enter]simplify: Simplifying (cbrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI a)) * [exit]simplify: Simplified to (cbrt (/ PI a)) * * * * [misc]progress: [ 5 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI a) (/ PI a)) (/ PI a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ PI a) 3) * [exit]simplify: Simplified to (pow (/ PI a) 3) * * * * [misc]progress: [ 6 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [enter]simplify: Simplifying (sqrt (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI a)) * [exit]simplify: Simplified to (sqrt (/ PI a)) * * * * [misc]progress: [ 7 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 8 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 132 ] 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) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 10 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ a PI) * [exit]simplify: Simplified to (/ a PI) * * * * [misc]progress: [ 11 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI b)) * [exit]simplify: Simplified to (log (/ PI b)) * * * * [misc]progress: [ 13 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ PI b)) * [exit]simplify: Simplified to (exp (/ PI b)) * * * * [misc]progress: [ 14 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI b)) (cbrt (/ PI b))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI b)) (cbrt (/ PI b))) * [exit]simplify: Simplified to (* (cbrt (/ PI b)) (cbrt (/ PI b))) * [enter]simplify: Simplifying (cbrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI b)) * [exit]simplify: Simplified to (cbrt (/ PI b)) * * * * [misc]progress: [ 15 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI b) (/ PI b)) (/ PI b)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ PI b) 3) * [exit]simplify: Simplified to (pow (/ PI b) 3) * * * * [misc]progress: [ 16 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [enter]simplify: Simplifying (sqrt (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * * * * [misc]progress: [ 17 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- b) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- b) * [exit]simplify: Simplified to (- b) * * * * [misc]progress: [ 18 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 b) * [exit]simplify: Simplified to (/ 1 b) * * * * [misc]progress: [ 20 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ b PI) * [exit]simplify: Simplified to (/ b PI) * * * * [misc]progress: [ 21 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI a) (/ PI b))) (log (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) * * * * [misc]progress: [ 23 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * * * * [misc]progress: [ 24 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * * * * [misc]progress: [ 25 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) 3) * * * * [misc]progress: [ 26 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * * * * [misc]progress: [ 27 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 3) * * * * [misc]progress: [ 28 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * * * * [misc]progress: [ 29 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [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 (23 enodes) * [exit]simplify: Simplified to (- (/ PI b) (/ PI a)) * [exit]simplify: Simplified to (- (/ PI b) (/ PI a)) * [enter]simplify: Simplifying (- (* 2 (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* 2 (- a b)) * [exit]simplify: Simplified to (* 2 (- a b)) * * * * [misc]progress: [ 30 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI a) (* 2 (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ PI (* (- b a) (* 2 a))) * [exit]simplify: Simplified to (/ PI (* (- b a) (* 2 a))) * [enter]simplify: Simplifying (/ (/ PI b) (* 2 (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 b) (- b a))) * [exit]simplify: Simplified to (/ PI (* (* 2 b) (- b a))) * * * * [misc]progress: [ 31 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) 2) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) 2) (cbrt (- (/ PI a) (/ PI b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) * * * * [misc]progress: [ 32 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) 2) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) 2) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * * * * [misc]progress: [ 33 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 34 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) 2) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) 2) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * * * * [misc]progress: [ 35 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 36 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 37 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * * * * [misc]progress: [ 39 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 40 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 41 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (cbrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (cbrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 42 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (sqrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (sqrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (sqrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 43 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 44 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * * * * [misc]progress: [ 45 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 46 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 47 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* 2 (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * * * * [misc]progress: [ 48 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* 2 (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 49 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (- b a) (* (* 2 a) b)) * [exit]simplify: Simplified to (* (- b a) (* (* 2 a) b)) * * * * [misc]progress: [ 50 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 (- b a)) (+ (* (/ PI a) (/ PI a)) (+ (* (/ PI b) (/ PI b)) (* (/ PI a) (/ PI b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (* (- b a) 2) (+ (* (/ PI b) (+ (/ PI b) (/ PI a))) (* (/ PI a) (/ PI a)))) * [exit]simplify: Simplified to (* (* (- b a) 2) (+ (* (/ PI b) (+ (/ PI b) (/ PI a))) (* (/ PI a) (/ PI a)))) * * * * [misc]progress: [ 51 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 (- b a)) (+ (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (+ (/ PI a) (/ PI b)) (* (- b a) 2)) * [exit]simplify: Simplified to (* (+ (/ PI a) (/ PI b)) (* (- b a) 2)) * * * * [misc]progress: [ 52 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ PI a) (/ PI b))) (log (* 2 (- b a)))) (log (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) (log (+ b a))) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) (log (+ b a))) * * * * [misc]progress: [ 54 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (log (+ b a))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (log (+ b a))) * * * * [misc]progress: [ 55 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2))) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2))) * * * * [misc]progress: [ 56 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (sqrt (exp (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 57 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (* 2 (- b a)) (* 2 (- b a))) (* 2 (- b a)))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (* (* 2 (- b a)) (* 2 (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (+ b a))))) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (* (* 2 (- b a)) (* 2 (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (+ b a))))) * * * * [misc]progress: [ 58 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) 3) * * * * [misc]progress: [ 59 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (+ b a) 2)))) * [enter]simplify: Simplifying (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * * * * [misc]progress: [ 60 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) 3) * * * * [misc]progress: [ 61 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * * * * [misc]progress: [ 62 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) (* (- b a) 2)) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 63 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI b) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ PI (* 2 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 64 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 65 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 66 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (+ b a)) * * * * [misc]progress: [ 67 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (+ b a))) * * * * [misc]progress: [ 68 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (sqrt (+ b a))) * * * * [misc]progress: [ 69 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (+ b a)) * * * * [misc]progress: [ 70 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (* 2 (cbrt (+ b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) (* 2 (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 71 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 2) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 72 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 2) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 73 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 2) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 2) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 74 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) 2) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) 2)) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 75 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) 2) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) 2) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 76 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (- b a)) * * * * [misc]progress: [ 77 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ b a))) * * [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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- b a)) * * * * [misc]progress: [ 78 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 79 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* 2 (cbrt (+ a b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* 2 (cbrt (+ a b)))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 80 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 2) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* 2 (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (* 2 (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 81 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) 2) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI b)) (sqrt (/ PI a))) 2) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) (- b a))) * * * * [misc]progress: [ 82 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (- b a)) * * * * [misc]progress: [ 83 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (+ b a))) * * [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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- b a)) * * * * [misc]progress: [ 84 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 85 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a)) * * * * [misc]progress: [ 86 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (+ b a))) * * [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 (+ b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (- b a)) * * * * [misc]progress: [ 87 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 88 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (cbrt (+ b a)))) * * * * [misc]progress: [ 89 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (sqrt (+ b a)))) * * * * [misc]progress: [ 90 / 132 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 91 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ 1 (* 2 (- b a))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ a b))) * * * * [misc]progress: [ 92 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ 1 (* 2 (- b a))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ a b))) * * * * [misc]progress: [ 93 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (/ (/ 1 (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ a b)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ a b)) (- b a)) * * * * [misc]progress: [ 94 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (pow b 3) (pow a 3)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) (- (* (* b b) (* b 2)) (* (* a a) (* 2 a))))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) (- (* (* b b) (* b 2)) (* (* a a) (* 2 a))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (+ b a) b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (* a a) (* (+ b a) b)) (cbrt (+ b a))) * * * * [misc]progress: [ 95 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (pow b 3) (pow a 3)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (+ (* a a) (* (+ b a) b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (* a a) (* (+ b a) b)) (sqrt (+ b a))) * * * * [misc]progress: [ 96 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (pow b 3) (pow a 3)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b 2) (* b b)) (* (* a a) (* 2 a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b 2) (* b b)) (* (* a a) (* 2 a)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (+ b a)) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (+ (* b b) (* (+ b a) a)) (+ b a)) * [exit]simplify: Simplified to (/ (+ (* b b) (* (+ b a) a)) (+ b a)) * * * * [misc]progress: [ 97 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (* b b) (* a a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (- b a) (+ b a))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (+ b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (+ a b))) * * * * [misc]progress: [ 98 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (* b b) (* a a)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (sqrt (+ b a)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (sqrt (+ b a)) (* 2 (- b a)))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (+ a b))) * * * * [misc]progress: [ 99 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- (* b b) (* a a)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* 2 (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* 2 (+ b a))) * [enter]simplify: Simplifying (/ (+ b a) (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 100 / 132 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 132 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 102 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (/ PI a) (/ PI b)) (+ a b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (/ PI a) (/ PI b)) (+ a b))) * * * * [misc]progress: [ 103 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (* (- b a) 2) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (* (- b a) 2) (cbrt (+ b a)))) * * * * [misc]progress: [ 104 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (- b a) 2) (sqrt (+ b a)))) * * * * [misc]progress: [ 105 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * * * * [misc]progress: [ 106 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 107 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 108 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (cbrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 109 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (sqrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (sqrt (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 110 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 111 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) * * * * [misc]progress: [ 112 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 113 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 114 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (/ PI a) (/ PI b)) (+ a b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (/ PI a) (/ PI b)) (+ a b))) * * * * [misc]progress: [ 115 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (/ 1 (* 2 (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * [exit]simplify: Simplified to (* (* (- b a) (+ a b)) 2) * * * * [misc]progress: [ 116 / 132 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ (* (+ a b) a) (* b b))) * [exit]simplify: Simplified to (/ (+ a b) (+ (* (+ a b) a) (* b b))) * * * * [misc]progress: [ 117 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 118 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ (* (* b b) (* b 2)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ (* (* b b) (* b 2)) (* (* 2 a) (* a a)))) * * * * [misc]progress: [ 119 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (* (- b a) (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (* (- b a) (- b a)))) * * * * [misc]progress: [ 120 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* 2 (- 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 (122 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * * * * [misc]progress: [ 121 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 122 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 123 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 124 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 125 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 126 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 127 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 b) PI) (* a (+ a b))) * * * * [misc]progress: [ 128 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 b) PI) (* a (+ a b))) * * * * [misc]progress: [ 129 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 b) PI) (* a (+ a b))) * * * * [misc]progress: [ 130 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 131 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 132 / 132 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 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 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI a)) 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 a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 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 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 1 (- a))))) 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 (/ 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 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 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) 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 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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]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 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) 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 (/ (* 1/2 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 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 (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) 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 a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI a)) (/ (- (/ 1 a)) 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 (+ (* 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 (+ (* 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 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) 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 (/ (* 1/2 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 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 -1) (+ (* (* -1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) 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 a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI a))) (/ (/ 1 a) -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 (/ 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 (+ (* 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]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 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 (/ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ 1 b)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 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 (/ 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 (+ (* 2 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)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 2 (/ 1 (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (- (* 2 (/ 1 (pow b 2)))) (/ 0 b)) (* (* 2 (/ 1 (pow b 3))) (/ 1 b)))) into (- (* 2 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (* (/ 1 b) (/ 1 a))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- b) 1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- b) 1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* (* -1 b) (/ (/ 1 b) 1)))) into 2 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (/ 0 1) (+ (* (* -1 b) (/ 0 1)) (* 2 (/ (/ 1 b) 1)))) into (- (* 2 (/ 1 b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 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 (+ (* 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 b) (/ 0 1)) (* 2 (/ 0 1)) (* (- (* 2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 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 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 b) (/ 1 a))) into (/ -1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* (* -1 b) (/ (- (/ 1 b)) -1)))) into 2 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 -1) (+ (* (* -1 b) (/ 0 -1)) (* 2 (/ (- (/ 1 b)) -1)))) into (- (* 2 (/ 1 b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 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 (+ (* 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 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 b) (/ 0 -1)) (* 2 (/ 0 -1)) (* (- (* 2 (/ 1 b))) (/ (- (/ 1 b)) -1)))) into (* 2 (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow b 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 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1 (* b a)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ 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 (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- 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) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (* (/ 1 b) (* 1/2 (/ PI b))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ 1 b)))) into (- (* 2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) (* 1/2 (/ PI (pow b 2)))) (* (- (* 2 (/ 1 (pow b 2)))) (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 2 (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) (* 1/2 (/ PI (pow b 3)))) (+ (* (- (* 2 (/ 1 (pow b 2)))) (* 1/2 (/ PI (pow b 2)))) (* (* 2 (/ 1 (pow b 3))) (* 1/2 (/ PI b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- b) 1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (+ (/ 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 (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- b) 1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 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 (- (/ 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 (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* (* -1 b) (/ (/ 1 b) 1)))) into 2 * [misc]backup-simplify: Simplify (+ (* (* -1 b) (- (* 1/2 (/ PI b)))) (* 2 (* -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 (- (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (/ 0 1) (+ (* (* -1 b) (/ 0 1)) (* 2 (/ (/ 1 b) 1)))) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (* -1 b) (- (* 1/2 (/ PI (pow b 2))))) (+ (* 2 (- (* 1/2 (/ PI b)))) (* (- (* 2 (/ 1 b))) (* -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)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (+ (/ 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 (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 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))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 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 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 (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* (* -1 b) (/ (- (/ 1 b)) -1)))) into 2 * [misc]backup-simplify: Simplify (+ (* (* -1 b) (* 1/2 (/ PI b))) (* 2 (* 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 -1) (+ (* (* -1 b) (/ 0 -1)) (* 2 (/ (- (/ 1 b)) -1)))) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (* -1 b) (* 1/2 (/ PI (pow b 2)))) (+ (* 2 (* 1/2 (/ PI b))) (* (- (* 2 (/ 1 b))) (* 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: simplifying candidates * * * * [misc]progress: [ 1 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (- b a))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (- b a))) * * * * [misc]progress: [ 3 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 4 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 5 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * * * * [misc]progress: [ 6 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) (- b a))) (cbrt (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (- b a))) (cbrt (/ (/ PI 2) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI 2) (- b a))) (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 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 7 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * * * * [misc]progress: [ 8 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (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 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * * * * [misc]progress: [ 9 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 10 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * * * [misc]progress: [ 11 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * * * [misc]progress: [ 12 / 164 ] 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))) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [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)) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 13 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI 2)) (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * * * [misc]progress: [ 14 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * * * [misc]progress: [ 15 / 164 ] 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)) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [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)) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * * * * [misc]progress: [ 16 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * * * * [misc]progress: [ 17 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * * * * [misc]progress: [ 18 / 164 ] 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 * [exit]simplify: Simplified to 1 * [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)) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * * * * [misc]progress: [ 19 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * * * * [misc]progress: [ 20 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * * * * [misc]progress: [ 21 / 164 ] 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 * [exit]simplify: Simplified to PI * [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)) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * * * * [misc]progress: [ 22 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 24 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ PI 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (- b a) (/ PI 2)) * * * * [misc]progress: [ 25 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (cbrt (- b a))) (cbrt (- b a))) * * * * [misc]progress: [ 26 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * * * * [misc]progress: [ 27 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 28 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (/ PI 2))) * * [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 (18 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ PI 2))) * * * * [misc]progress: [ 29 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (/ PI 2))) * * [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 (18 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ PI 2))) * * * * [misc]progress: [ 30 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ PI 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (- b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (- b a) (/ PI 2)) * * * * [misc]progress: [ 31 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ 1 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* 2 (- b a)) * [exit]simplify: Simplified to (* 2 (- b a)) * * * * [misc]progress: [ 32 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- (pow b 3) (pow a 3))) * [exit]simplify: Simplified to (/ (/ PI 2) (- (pow b 3) (pow a 3))) * * * * [misc]progress: [ 33 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* b b) (* a a))) * * [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) (+ a b)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * * * * [misc]progress: [ 34 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (- b a) 2) * [exit]simplify: Simplified to (* (- b a) 2) * * * * [misc]progress: [ 35 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))) * * * * [misc]progress: [ 37 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 38 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 39 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 3) * * * * [misc]progress: [ 40 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 41 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 3) * * * * [misc]progress: [ 42 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 43 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 44 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (+ b a)) * [exit]simplify: Simplified to (/ (/ 1 a) (+ b a)) * [enter]simplify: Simplifying (/ (/ 1 b) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (+ a b)) * [exit]simplify: Simplified to (/ (/ 1 b) (+ a b)) * * * * [misc]progress: [ 45 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * * * * [misc]progress: [ 46 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * * * * [misc]progress: [ 47 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * * * [misc]progress: [ 48 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) * * * * [misc]progress: [ 49 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) * * * * [misc]progress: [ 50 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * * * [misc]progress: [ 51 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 52 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 53 / 164 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 54 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (+ a b))) * * * * [misc]progress: [ 55 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (+ a b))) * * * * [misc]progress: [ 56 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ a b)) * * * * [misc]progress: [ 57 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 58 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 59 / 164 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 60 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 61 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 62 / 164 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 63 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 64 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 65 / 164 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 66 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) * * * * [misc]progress: [ 67 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 68 / 164 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 69 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 164 ] 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)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 71 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 72 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 73 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) * * * * [misc]progress: [ 74 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 75 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 76 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 77 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 78 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 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 (/ (+ a b) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 79 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 80 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 81 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 82 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 83 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ (pow a 3) (pow b 3))) * * * * [misc]progress: [ 84 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * * * [misc]progress: [ 85 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (+ a b) (* a b)) * [exit]simplify: Simplified to (* (+ a b) (* a b)) * * * * [misc]progress: [ 86 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (+ (+ (/ (+ a b) (* b b)) (/ (+ a b) (* a a))) (/ (+ a b) (* a b))) * [exit]simplify: Simplified to (+ (+ (/ (+ a b) (* b b)) (/ (+ a b) (* a a))) (/ (+ a b) (* a b))) * * * * [misc]progress: [ 87 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (+ (/ (+ a b) b) (/ (+ a b) a)) * [exit]simplify: Simplified to (+ (/ (+ a b) b) (/ (+ a b) a)) * * * * [misc]progress: [ 88 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 89 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (+ b a))) (- (log (- b a)) (log (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (- (- (log (/ PI 2)) (log (+ b a))) (- (log (- b a)) (log (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 91 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (- b a))) (- (log (+ b a)) (log (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (- (log (/ (/ PI 2) (- b a))) (- (log (+ b a)) (log (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 92 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 93 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ PI 2) (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (+ (log (/ (/ PI 2) (- b a))) (log (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 94 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * * * [misc]progress: [ 95 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 96 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ PI 2) (- b a)))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ PI 2) (- b a)))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ b a) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 97 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ PI 2) (- b a))))) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ b a) (+ b a)) (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 98 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (* (pow (/ (/ PI 2) (- b a)) 3) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (* (* (pow (/ (/ PI 2) (- b a)) 3) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 99 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (pow (/ (/ PI 2) (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (pow (/ (/ PI 2) (- b a)) 3)) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 100 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ PI 2) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (cbrt (* (/ (/ PI 2) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ PI 2) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (cbrt (* (/ (/ PI 2) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * [enter]simplify: Simplifying (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * * * * [misc]progress: [ 101 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * [exit]simplify: Simplified to (pow (/ (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) 3) * * * * [misc]progress: [ 102 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * [enter]simplify: Simplifying (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (+ b a) (/ PI 2)))) * * * * [misc]progress: [ 103 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [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)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 104 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (* (cbrt (/ (/ PI 2) (- b a))) (cbrt (/ (/ PI 2) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ PI 2) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (cbrt (/ (/ PI 2) (- b a)))) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ PI 2) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (cbrt (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 106 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ PI 2) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (sqrt (/ (/ PI 2) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 107 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 108 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ (sqrt (- b a)) (cbrt (/ PI 2))) (cbrt (/ PI 2)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ (sqrt (- b a)) (cbrt (/ PI 2))) (cbrt (/ PI 2)))) * * * * [misc]progress: [ 109 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 110 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ b a))) * [exit]simplify: Simplified to (/ (* (sqrt (/ PI 2)) (- (/ 1 a) (/ 1 b))) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ b a))) * * * * [misc]progress: [ 111 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (sqrt (/ PI 2)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ (+ b a) (sqrt (/ PI 2)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ (+ b a) (sqrt (/ PI 2)))) * * * * [misc]progress: [ 112 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (sqrt (/ PI 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* b (+ b a)))) * [exit]simplify: Simplified to (- (/ (sqrt (/ PI 2)) (* (+ b a) a)) (/ (sqrt (/ PI 2)) (* b (+ b a)))) * * * * [misc]progress: [ 113 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 114 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * * * [misc]progress: [ 115 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 116 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ PI (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 117 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ PI (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI a) (/ (- PI) b)) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (+ (/ PI a) (/ (- PI) b)) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 118 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ PI 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 119 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 120 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) * * * * [misc]progress: [ 121 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (pow b 3) (pow a 3))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- (pow b 3) (pow a 3))) (/ (+ b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 122 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (* (/ (+ b a) PI) (* (+ b a) 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (* (/ (+ b a) PI) (* (+ b a) 2))) * * * * [misc]progress: [ 123 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 124 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 125 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 126 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 127 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (- b a) (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (- b a) (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 128 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 129 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 130 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 131 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * * * * [misc]progress: [ 132 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * * * * [misc]progress: [ 133 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 134 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ a b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (cbrt (+ a b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 135 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ a b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (sqrt (+ a b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 136 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (+ a b) (/ 2 PI)) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (+ a b) (/ 2 PI)) (- b a))) * * * * [misc]progress: [ 137 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * * * * [misc]progress: [ 138 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * * * * [misc]progress: [ 139 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 140 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * * * * [misc]progress: [ 141 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * * * * [misc]progress: [ 142 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 143 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * * * * [misc]progress: [ 144 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * * * * [misc]progress: [ 145 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 146 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * * * * [misc]progress: [ 147 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * * * * [misc]progress: [ 148 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 149 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 150 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* 2 (- b a))) * * * * [misc]progress: [ 151 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (+ (* b b) (* (- a b) a)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (+ (* b b) (* (- a b) a)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 152 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 153 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) * * * * [misc]progress: [ 154 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * * * * [misc]progress: [ 155 / 164 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 157 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 158 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) 0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 159 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* a (* 2 b))) * * * * [misc]progress: [ 160 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ -1 (* b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ PI 2)) (* (- b a) (* a b))) * * * * [misc]progress: [ 161 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ -1 (* b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ PI 2)) (* (- b a) (* a b))) * * * * [misc]progress: [ 162 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 163 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 164 / 164 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 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) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [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) * [exit]simplify: Simplified to (+ b a) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1358 additional inputs, on iter 1 have 6642 / 8000 * * * * [misc]points: Computing exacts on every 84 of 1358 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 42 of 1358 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 21 of 1358 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 10 of 1358 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 1358 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 1358 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1358 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 219 additional inputs, on iter 2 have 7781 / 8000 * * * * [misc]points: Computing exacts on every 13 of 219 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 219 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 219 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 219 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 33 additional inputs, on iter 3 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 33 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 10 additional inputs, on iter 4 have 7990 / 8000 * * * * [misc]points: Computing exacts for 10 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 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8002 points with exact outputs