* [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 48 additional inputs, on iter 1 have 208 / 256 * * * * [misc]points: Computing exacts on every 3 of 48 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 48 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 12 additional inputs, on iter 2 have 244 / 256 * * * * [misc]points: Computing exacts for 12 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 254 / 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 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- 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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a 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 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ a b) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 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 -1 into -1 * [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 (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* (/ 2 PI) (pow a 2)) into (* 2 (/ (pow a 2) PI)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (/ (pow a 2) PI))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 into 1 * [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 (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (/ 2 PI) (pow b 2)) into (* 2 (/ (pow b 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (pow b 2) PI))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 into 1 * [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 (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (/ 2 PI) (pow b 2)) into (* 2 (/ (pow b 2) PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (pow b 2) PI))) 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 into PI * [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 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 b) b) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ (/ 1 b) (* 2 (/ (pow b 2) PI))) (* (* 1/2 (/ PI (pow b 2))) (/ 0 (* 2 (/ (pow b 2) PI))))) 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 into PI * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (+ (/ 0 (* 2 (/ (pow b 2) PI))) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (/ -2 PI) (* 2 (/ (pow b 2) PI)))) (* (* 1/2 (/ PI (pow b 3))) (/ 0 (* 2 (/ (pow b 2) PI)))))) 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 (/ 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 into PI * [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 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 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))) (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (/ 2 PI) (* (+ (/ 1 a) (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 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 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 into a * [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 (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ a (/ 2 PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (/ 2 PI) (* (+ (/ 1 a) (/ 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 into 1 * [misc]backup-simplify: Simplify 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 (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 into 1 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -2 PI)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (/ 2 PI) (* (+ (/ 1 a) (/ 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 into 1 * [misc]backup-simplify: Simplify 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 (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 into 1 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) (* -1 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (/ -2 PI)) (* (* -1/2 (* PI b)) (/ 0 (/ -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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) (/ 1 (pow b 2))) into (/ 2 (* (pow b 2) PI)) * [misc]backup-simplify: Simplify (+ (/ 0 (/ -2 PI)) (+ (* (* -1/2 (* PI b)) (/ (/ 2 (* (pow b 2) PI)) (/ -2 PI))) (* (- (* 1/2 PI)) (/ 0 (/ -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 into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]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 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 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 a into a * [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 (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ a (/ 2 PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 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 into -1 * [misc]backup-simplify: Simplify -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 b * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 into -1 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -2 PI)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 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 into -1 * [misc]backup-simplify: Simplify -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 b * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 into -1 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b into 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 b)) (/ 1 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ -1 (/ -2 PI)) (* (* -1/2 (* PI b)) (/ 0 (/ -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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) 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 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 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 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 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) (/ 1 (pow b 2))) into (/ 2 (* (pow b 2) PI)) * [misc]backup-simplify: Simplify (+ (/ 0 (/ -2 PI)) (+ (* (* -1/2 (* PI b)) (/ (/ 2 (* (pow b 2) PI)) (/ -2 PI))) (* (* 1/2 PI) (/ 0 (/ -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 into PI * [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 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 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ 2 PI) (* (+ a b) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ a b) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 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 (* (/ 2 PI) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 (* (/ 2 PI) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 into b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (/ 2 PI) (pow b 2)) into (* 2 (/ (pow b 2) PI)) * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow b 2) PI)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow b 2) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [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 b) b) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ -2 PI) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [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 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ -2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 1 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 PI) (pow b 2)) (* (/ -2 PI) (pow a 2))) into (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI))) * [misc]approximate: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 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 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 (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ -2 PI) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) (* -1 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) (/ 1 (pow b 2))) into (/ 2 (* (pow b 2) PI)) * [misc]taylor: Taking taylor expansion of (/ 2 (* (pow b 2) PI)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 2) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ -2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ -2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 PI) (pow (/ 1 (/ 1 a)) 2)) (* (/ 2 PI) (pow (/ 1 (/ 1 b)) 2))) into (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI))) * [misc]approximate: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]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 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 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 (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 2 PI) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 2 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ -2 PI) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 b)) (/ 1 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 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 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) (/ 1 (pow b 2))) into (/ 2 (* (pow b 2) PI)) * [misc]taylor: Taking taylor expansion of (/ 2 (* (pow b 2) PI)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow b 2) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [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)) 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 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 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ -2 PI) (/ 0 PI))) 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 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)) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ -2 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 PI) (pow (/ 1 (/ 1 (- a))) 2)) (* (/ 2 PI) (pow (/ 1 (/ 1 (- b))) 2))) into (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 b)) into (+ (/ 1 b) (/ 1 a)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 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 into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) (/ 1 a)) into (+ (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify b into 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 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 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)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (- b)) (* -1 (/ 1 (- a)))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * * * * [misc]progress: [ 2 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * * * * [misc]progress: [ 3 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (+ (log (/ 2 PI)) (+ (log (+ a b)) (log (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ 2 PI))) (+ (log (- b a)) (log (+ b a)))) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ 2 PI))) (+ (log (- b a)) (log (+ b a)))) * * * * [misc]progress: [ 5 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (+ (log (/ 2 PI)) (log (* (+ a b) (- 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 (178 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ b a) (- b a)))) (log (/ 2 PI))) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ b a) (- b a)))) (log (/ 2 PI))) * * * * [misc]progress: [ 6 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (/ 2 PI) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (/ 2 PI) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 7 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) (- b a))) * * * * [misc]progress: [ 8 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (exp (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (+ b a)))) * [exit]simplify: Simplified to (exp (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (+ b a)))) * * * * [misc]progress: [ 9 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (/ 2 PI) (/ 2 PI)) (/ 2 PI)) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- 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 (350 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (+ b a))) (* (* (- b a) (- b a)) (+ b a))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (/ 2 PI)) (* (/ 2 PI) (/ 2 PI))))) * [exit]simplify: Simplified to (* (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (+ b a))) (* (* (- b a) (- b a)) (+ b a))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (/ 2 PI)) (* (/ 2 PI) (/ 2 PI))))) * * * * [misc]progress: [ 10 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (/ 2 PI) (/ 2 PI)) (/ 2 PI)) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (/ 2 PI))) (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI))) (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (* (* (+ b a) (- b a)) (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (/ 2 PI))) (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI))) (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (* (* (+ b a) (- b a)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 11 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (/ 2 PI) (* (+ a b) (- b a))) (* (/ 2 PI) (* (+ a b) (- b a)))) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (pow (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (* (+ b a) (- b a)) 2)) 3) * [exit]simplify: Simplified to (pow (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (* (+ b a) (- b a)) 2)) 3) * * * * [misc]progress: [ 12 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (461 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)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (459 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: [ 13 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (+ b a) (- b a)) PI)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (+ b a) (- b a)) PI)) 3) * * * * [misc]progress: [ 14 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (459 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))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (459 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: [ 15 / 151 ] 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 (- (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (- a b) (/ 2 PI))) * [exit]simplify: Simplified to (* (+ b a) (* (- a b) (/ 2 PI))) * * * * [misc]progress: [ 16 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (- b a)) (* (+ b a) (/ 2 PI))) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (- b a)) (* (+ b a) (/ 2 PI))) * [enter]simplify: Simplifying (/ (/ 1 b) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (+ a b)) (* (/ 2 PI) (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (+ a b)) (* (/ 2 PI) (- b a))) * * * * [misc]progress: [ 17 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ PI 2)) * [exit]simplify: Simplified to (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ PI 2)) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 18 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 19 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (283 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: [ 20 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 21 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (283 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: [ 22 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (283 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: [ 23 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (283 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: [ 24 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (283 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: [ 25 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (- b a) (+ b a))) * * * * [misc]progress: [ 27 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 28 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 29 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ b a) PI)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ b a) PI)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 30 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ b a) PI)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ b a) PI)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 31 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 32 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (/ (* (* (+ b a) 2) (/ (- b a) PI)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (+ b a) 2) (/ (- b a) PI)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 33 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 34 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 35 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 36 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ 2 PI) (* (+ a b) (- b a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ 2 PI) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 37 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (fma (* a a) (- a) (pow b 3)) (fma (* a a) a (pow b 3)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (fma (* a a) (- a) (pow b 3)) (fma (* a a) a (pow b 3)))) * * * * [misc]progress: [ 38 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (+ (* (* 2 b) (* b b)) (* (* a a) (* 2 a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (+ (* (* 2 b) (* b b)) (* (* a a) (* 2 a)))) * * * * [misc]progress: [ 39 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- a b))) (* 2 (fma (- a) (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- a b))) (* 2 (fma (- a) (* a a) (pow b 3)))) * * * * [misc]progress: [ 40 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (- (* a a) (* b b)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- a b))) (* (+ b a) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- a b))) (* (+ b a) (* (- b a) 2))) * * * * [misc]progress: [ 41 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ a b) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (fma (* (- a) (* a a)) 2 (* (* b b) (* 2 b)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (fma (* (- a) (* a a)) 2 (* (* b b) (* 2 b)))) * * * * [misc]progress: [ 42 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ a b) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (- b a) (* (+ b a) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (* (- b a) (* (+ b a) (+ b a)))) * * * * [misc]progress: [ 43 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ (pow a 3) (pow b 3)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* (* 2 a) (* a a)) (* (* 2 b) (* b b)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* (* 2 a) (* a a)) (* (* 2 b) (* b b)))) * * * * [misc]progress: [ 44 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (- (* a a) (* b b)) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (* (- b a) (- a b))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (* (- b a) (- a b))) * * * * [misc]progress: [ 45 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))) * * * * [misc]progress: [ 46 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma a (* a a) (pow b 3)) (- (* b b) (* a a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma a (* a a) (pow b 3)) (- (* b b) (* a a)))) * * * * [misc]progress: [ 47 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma (- a) (* a a) (pow b 3)) (- (* a a) (* b b)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (fma (- a) (* a a) (pow b 3)) (- (* a a) (* b b)))) * * * * [misc]progress: [ 48 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (- (* a a) (* b b)) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (* (- (* a a) (* b b)) (/ 2 PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (* (- (* a a) (* b b)) (/ 2 PI))) * * * * [misc]progress: [ 49 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (+ b a)) (fma (- a) (* a a) (pow b 3)))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (+ b a)) (fma (- a) (* a a) (pow b 3)))) * * * * [misc]progress: [ 50 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (+ b a) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (+ b a) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 51 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (fma b (* b b) (pow a 3)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) PI) (* (fma b (* b b) (pow a 3)) (* 2 (- b a)))) * * * * [misc]progress: [ 52 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (- (* a a) (* b b)) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (* (- b a) (- a b)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (* (- b a) (- a b)) (+ b a))) * * * * [misc]progress: [ 53 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* 2 (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (- b a)) * * * * [misc]progress: [ 54 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 PI) (* (+ a b) (- b a))) (* a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (- b a)) (* (* b a) (/ 2 PI))) * [exit]simplify: Simplified to (* (* (+ b a) (- b a)) (* (* b a) (/ 2 PI))) * * * * [misc]progress: [ 55 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 PI) (* (+ a b) (- b a))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (* (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) (* (* (- b a) (/ 2 PI)) (+ b a))) * * * * [misc]progress: [ 56 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 PI) (* (+ a b) (- b a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (* (* (- b a) (/ 2 PI)) (* (+ (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (* (- b a) (/ 2 PI)) (* (+ (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 57 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (expm1 (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (expm1 (* (* (- b a) (/ 2 PI)) (+ b a))) * * * * [misc]progress: [ 58 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (log1p (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (log1p (* (* (- b a) (/ 2 PI)) (+ b a))) * * * * [misc]progress: [ 59 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * * * * [misc]progress: [ 60 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * * * * [misc]progress: [ 61 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 2 PI)) (+ (log (+ a b)) (log (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (+ (log (/ 2 PI)) (+ (log (- b a)) (log (+ b a)))) * [exit]simplify: Simplified to (+ (log (/ 2 PI)) (+ (log (- b a)) (log (+ b a)))) * * * * [misc]progress: [ 63 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 2 PI)) (log (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (+ (log (/ 2 PI)) (log (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (+ (log (/ 2 PI)) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 64 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (log (/ (* (+ b a) 2) (/ PI (- b a)))) * [exit]simplify: Simplified to (log (/ (* (+ b a) 2) (/ PI (- b a)))) * * * * [misc]progress: [ 65 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (pow (exp (/ 2 PI)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (pow (exp (/ 2 PI)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 66 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 2 PI) (/ 2 PI)) (/ 2 PI)) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (* (* (+ a b) (+ a b)) (pow (/ 2 PI) 3)) (* (* (- b a) (- b a)) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (* (* (* (+ a b) (+ a b)) (pow (/ 2 PI) 3)) (* (* (- b a) (- b a)) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 67 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 2 PI) (/ 2 PI)) (/ 2 PI)) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (* (* (* (- b a) (+ a b)) (* (- b a) (+ a b))) (* (* (- b a) (+ a b)) (pow (/ 2 PI) 3))) * [exit]simplify: Simplified to (* (* (* (- b a) (+ a b)) (* (- b a) (+ a b))) (* (* (- b a) (+ a b)) (pow (/ 2 PI) 3))) * * * * [misc]progress: [ 68 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 2 PI) (* (+ a b) (- b a)))) (cbrt (* (/ 2 PI) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (+ b a) (/ 2 PI)) (- b a))) (cbrt (* (* (+ b a) (/ 2 PI)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (* (* (+ b a) (/ 2 PI)) (- b a))) (cbrt (* (* (+ b a) (/ 2 PI)) (- b a)))) * [enter]simplify: Simplifying (cbrt (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (cbrt (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (cbrt (* (* (- b a) (/ 2 PI)) (+ b a))) * * * * [misc]progress: [ 69 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 2 PI) (* (+ a b) (- b a))) (* (/ 2 PI) (* (+ a b) (- b a)))) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (pow (* (* (+ b a) (/ 2 PI)) (- b a)) 3) * [exit]simplify: Simplified to (pow (* (* (+ b a) (/ 2 PI)) (- b a)) 3) * * * * [misc]progress: [ 70 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (sqrt (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (sqrt (* (* (- b a) (/ 2 PI)) (+ b a))) * [enter]simplify: Simplifying (sqrt (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (sqrt (* (* (- b a) (/ 2 PI)) (+ b a))) * [exit]simplify: Simplified to (sqrt (* (* (- b a) (/ 2 PI)) (+ b a))) * * * * [misc]progress: [ 71 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (fma 2 (* (fma (- a) (* a a) (pow b 3)) (pow b 3)) (* (fma (- a) (* a a) (pow b 3)) (* (* a a) (* a 2)))) * [exit]simplify: Simplified to (fma 2 (* (fma (- a) (* a a) (pow b 3)) (pow b 3)) (* (fma (- a) (* a a) (pow b 3)) (* (* a a) (* a 2)))) * [enter]simplify: Simplifying (* PI (* (+ (* a a) (- (* b b) (* a b))) (+ (* b b) (+ (* a a) (* b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (* (* (fma b (- b a) (* a a)) PI) (+ (fma b b (* a a)) (* b a))) * [exit]simplify: Simplified to (* (* (fma b (- b a) (* a a)) PI) (+ (fma b b (* a a)) (* b a))) * * * * [misc]progress: [ 72 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (+ (* (* b b) (* b 2)) (* (* a 2) (* a a))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (* (+ (* (* b b) (* b 2)) (* (* a 2) (* a a))) (* (+ b a) (- b a))) * [enter]simplify: Simplifying (* PI (* (+ (* a a) (- (* b b) (* a b))) (+ b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (* (* PI (+ b a)) (fma b (- b a) (* a a))) * [exit]simplify: Simplified to (* (* PI (+ b a)) (fma b (- b a) (* a a))) * * * * [misc]progress: [ 73 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (fma (* (* a a) (- a)) 2 (* (* b 2) (* b b))) (* (+ b a) (- a b))) * [exit]simplify: Simplified to (* (fma (* (* a a) (- a)) 2 (* (* b 2) (* b b))) (* (+ b a) (- a b))) * [enter]simplify: Simplifying (* PI (* (- a b) (+ (* b b) (+ (* a a) (* b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (- a b) PI) (fma (+ b a) a (* b b))) * [exit]simplify: Simplified to (* (* (- a b) PI) (fma (+ b a) a (* b b))) * * * * [misc]progress: [ 74 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (- (* a a) (* b b)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (* (* (- (* a a) (* b b)) (- (* b b) (* a a))) 2) * [exit]simplify: Simplified to (* (* (- (* a a) (* b b)) (- (* b b) (* a a))) 2) * [enter]simplify: Simplifying (* PI (* (- a b) (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (* (+ b a) PI) (- a b)) * [exit]simplify: Simplified to (* (* (+ b a) PI) (- a b)) * * * * [misc]progress: [ 75 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ a b) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) 2)) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) 2)) * [enter]simplify: Simplifying (* PI (+ (* 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 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (fma a (+ a b) (* b b)) PI) * [exit]simplify: Simplified to (* (fma a (+ a b) (* b b)) PI) * * * * [misc]progress: [ 76 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ a b) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (+ b a)) (* 2 (- b a))) * [exit]simplify: Simplified to (* (* (+ b a) (+ b a)) (* 2 (- b a))) * [enter]simplify: Simplifying (* PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (+ a b) PI) * [exit]simplify: Simplified to (* (+ a b) PI) * * * * [misc]progress: [ 77 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ (pow a 3) (pow b 3)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* (* (- b a) 2) (fma (* b b) b (pow a 3))) * [exit]simplify: Simplified to (* (* (- b a) 2) (fma (* b b) b (pow a 3))) * [enter]simplify: Simplifying (* PI (+ (* a a) (- (* b b) (* a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (fma a (- a b) (* b b)) PI) * [exit]simplify: Simplified to (* (fma a (- a b) (* b b)) PI) * * * * [misc]progress: [ 78 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (- (* a a) (* b b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (* (- a b) (- b a))) * [exit]simplify: Simplified to (* (* (+ b a) 2) (* (- a b) (- b a))) * [enter]simplify: Simplifying (* PI (- a b)) * * [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 (23 enodes) * [exit]simplify: Simplified to (* (- a b) PI) * [exit]simplify: Simplified to (* (- a b) PI) * * * * [misc]progress: [ 79 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (/ b PI)) 2) * [exit]simplify: Simplified to (* (* (+ b a) (/ b PI)) 2) * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (- (/ 2 PI)) (* a (+ b a))) * [exit]simplify: Simplified to (* (- (/ 2 PI)) (* a (+ b a))) * * * * [misc]progress: [ 81 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (/ b PI)) 2) * [exit]simplify: Simplified to (* (* (+ b a) (/ b PI)) 2) * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (- (/ 2 PI)) (* a (+ b a))) * [exit]simplify: Simplified to (* (- (/ 2 PI)) (* a (+ b a))) * * * * [misc]progress: [ 82 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* b (+ a b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (* (/ b PI) (+ a b)) 2) * [exit]simplify: Simplified to (* (* (/ b PI) (+ a b)) 2) * [enter]simplify: Simplifying (* (/ 2 PI) (* (- a) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (+ a b) (* (- a) (/ 2 PI))) * [exit]simplify: Simplified to (* (+ a b) (* (- a) (/ 2 PI))) * * * * [misc]progress: [ 83 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* b (+ a b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (* (/ b PI) (+ a b)) 2) * [exit]simplify: Simplified to (* (* (/ b PI) (+ a b)) 2) * [enter]simplify: Simplifying (* (/ 2 PI) (* (- a) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (+ a b) (* (- a) (/ 2 PI))) * [exit]simplify: Simplified to (* (+ a b) (* (- a) (/ 2 PI))) * * * * [misc]progress: [ 84 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ a b) b) (/ 2 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (* 2 b) (/ PI (+ a b))) * [exit]simplify: Simplified to (/ (* 2 b) (/ PI (+ a b))) * [enter]simplify: Simplifying (* (* (+ a b) (- a)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (* (/ (- a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 85 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ a b) b) (/ 2 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (* 2 b) (/ PI (+ a b))) * [exit]simplify: Simplified to (/ (* 2 b) (/ PI (+ a b))) * [enter]simplify: Simplifying (* (* (+ a b) (- a)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (* (/ (- a) (/ PI 2)) (+ a b)) * [exit]simplify: Simplified to (* (/ (- a) (/ PI 2)) (+ a b)) * * * * [misc]progress: [ 86 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b (+ a b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (/ 2 PI) b)) * [exit]simplify: Simplified to (* (+ b a) (* (/ 2 PI) b)) * [enter]simplify: Simplifying (* (* (- a) (+ a b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (* (/ a PI) (* (+ b a) (- 2))) * [exit]simplify: Simplified to (* (/ a PI) (* (+ b a) (- 2))) * * * * [misc]progress: [ 87 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* b (+ a b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (/ 2 PI) b)) * [exit]simplify: Simplified to (* (+ b a) (* (/ 2 PI) b)) * [enter]simplify: Simplifying (* (* (- a) (+ a b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (* (/ a PI) (* (+ b a) (- 2))) * [exit]simplify: Simplified to (* (/ a PI) (* (+ b a) (- 2))) * * * * [misc]progress: [ 88 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * [exit]simplify: Simplified to (/ (+ b a) (/ PI 2)) * * * * [misc]progress: [ 89 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 PI)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (cbrt (/ 2 PI))) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (cbrt (/ 2 PI))) * * * * [misc]progress: [ 90 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 2 PI)) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (sqrt (/ 2 PI))) * [exit]simplify: Simplified to (* (* (- b a) (+ b a)) (sqrt (/ 2 PI))) * * * * [misc]progress: [ 91 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) (/ PI 2)) * * * * [misc]progress: [ 92 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) PI) * [exit]simplify: Simplified to (/ (* (+ b a) (- b a)) PI) * * * * [misc]progress: [ 93 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (/ (fma 2 (* (* a a) (- a)) (* (* b b) (* b 2))) (/ PI (fma b (* b b) (pow a 3)))) * [exit]simplify: Simplified to (/ (fma 2 (* (* a a) (- a)) (* (* b b) (* b 2))) (/ PI (fma b (* b b) (pow a 3)))) * * * * [misc]progress: [ 94 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (/ (+ (* (* a a) (* a 2)) (* (* b b) (* b 2))) (/ (/ PI (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (+ (* (* a a) (* a 2)) (* (* b b) (* b 2))) (/ (/ PI (+ a b)) (- b a))) * * * * [misc]progress: [ 95 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (fma 2 (* (- a) (* a a)) (* (* 2 b) (* b b))) (/ PI (- (* a a) (* b b)))) * [exit]simplify: Simplified to (/ (fma 2 (* (- a) (* a a)) (* (* 2 b) (* b b))) (/ PI (- (* a a) (* b b)))) * * * * [misc]progress: [ 96 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (- (* a a) (* b b)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * [exit]simplify: Simplified to (* (* (- (* b b) (* a a)) (- (* a a) (* b b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (* (- (* b b) (* a a)) (- (* a a) (* b b))) (/ 2 PI)) * * * * [misc]progress: [ 97 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) (/ 2 PI))) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) (/ 2 PI))) * * * * [misc]progress: [ 98 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ a b) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (+ b a)) (* (/ 2 PI) (- b a))) * [exit]simplify: Simplified to (* (* (+ b a) (+ b a)) (* (/ 2 PI) (- b a))) * * * * [misc]progress: [ 99 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (+ (pow a 3) (pow b 3)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (* (- b a) (/ 2 PI)) (fma b (* b b) (pow a 3))) * [exit]simplify: Simplified to (* (* (- b a) (/ 2 PI)) (fma b (* b b) (pow a 3))) * * * * [misc]progress: [ 100 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 PI) (* (- (* a a) (* b b)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (* (/ 2 PI) (- b a)) (- (* a a) (* b b))) * [exit]simplify: Simplified to (* (* (/ 2 PI) (- b a)) (- (* a a) (* b b))) * * * * [misc]progress: [ 101 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (* (- b a) 2) (+ b a)) * [exit]simplify: Simplified to (* (* (- b a) 2) (+ b a)) * * * * [misc]progress: [ 102 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 104 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 105 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 106 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 107 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 108 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 109 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 110 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 111 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 112 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 113 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 114 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 115 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 116 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 117 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 118 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 119 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 120 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 121 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 122 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 123 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 124 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 125 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 126 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 128 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 129 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 130 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * * * * [misc]progress: [ 131 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 132 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 133 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (fma (+ (/ 1 b) (/ 1 a)) (/ 1 a) (/ 1 (* b b))) * [exit]simplify: Simplified to (fma (+ (/ 1 b) (/ 1 a)) (/ 1 a) (/ 1 (* b b))) * * * * [misc]progress: [ 134 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 135 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * * * * [misc]progress: [ 137 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * * * [misc]progress: [ 138 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 139 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 140 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 141 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 142 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 143 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 144 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 145 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 146 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (+ b a) (- b a)) (/ 2 PI))) * * * * [misc]progress: [ 147 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (+ b a) (- b a)) (/ 2 PI))) * * * * [misc]progress: [ 148 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* 2 (/ (pow b 2) PI)) (* 2 (/ (pow a 2) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (+ b a) (- b a)) (/ 2 PI))) * * * * [misc]progress: [ 149 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 b) (/ 1 a)) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ 1 a) (/ 1 b)) (/ 2 PI)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 150 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ 1 b) (/ 1 a)) (/ 2 PI)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 151 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 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 a into a * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow a 2)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 into b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify b 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 a) (/ PI b)) 2) (* (+ a b) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 into b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify b 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 (* 1/2 (/ 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 into PI * [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 (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ (/ PI b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 b) b) into 0 * [misc]backup-simplify: Simplify (+ (/ (* 1/2 (/ PI b)) (pow b 2)) (* (* 1/2 (/ PI (pow b 2))) (/ 0 (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 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 into PI * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 (pow b 2))) (* (* 1/2 (/ PI (pow b 3))) (/ 0 (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 (/ 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 into PI * [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 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 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 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 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 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 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 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) (* -1 (/ 1 b))) into 0 * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (* -1/2 (* PI b)) (/ (/ 1 (pow b 2)) -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 into PI * [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 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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]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 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 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- 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]taylor: Taking 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 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 b)) (/ 1 b)) into 0 * [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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 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 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (* (* -1/2 (* PI b)) (/ (/ 1 (pow b 2)) -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 into PI * [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 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 0 into 0 * * * * [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 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 into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 0 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 into 1 * [misc]backup-simplify: Simplify PI 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 0 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 into 1 * [misc]backup-simplify: Simplify PI 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ PI a) (/ PI b)) in (a b) around 0 * [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 into PI * [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 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 (- (/ 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 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]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 b) (* (/ PI b) (/ 0 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI (/ 1 a)) (* PI (/ 1 b))) into (+ (/ PI b) (/ PI a)) * [misc]approximate: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (- (/ 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI (/ 1 b)) (* PI (/ 1 a))) into (+ (/ PI b) (/ PI a)) * [misc]approximate: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) in (a b) around 0 * [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 (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [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 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 (* b PI) * [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 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 (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 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)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 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)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (- b))) (* (* -1 PI) (/ 1 (- a)))) into (- (/ PI a) (/ PI b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (+ b a))) * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ a b)) (log (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (* (+ b a) (- b a)))) * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (225 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: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (486 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: [ 8 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (+ b a)) (* (- b a) (- b a))))) * [exit]simplify: Simplified to (* (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (+ b a)) (* (- b a) (- b a))))) * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) 3) * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (456 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) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (456 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: [ 11 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (132 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: [ 12 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (456 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))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (456 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: [ 13 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) 2) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) 2) * [enter]simplify: Simplifying (- (* (+ a b) (- 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 (135 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a b)) * [exit]simplify: Simplified to (* (+ a b) (- a b)) * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (* 2 a) (- b a))) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (* 2 a) (- b a))) * [enter]simplify: Simplifying (/ (/ (/ PI b) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 b) (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 b) (+ b a))) * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (+ a b)) * * [misc]simplify: iters left: 6 (12 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 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 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 (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- b a)) * * * * [misc]progress: [ 17 / 109 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (157 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: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ 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: [ 19 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ a b) (- 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 (65 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) * * [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 (152 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ 2 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (/ 2 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ 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 (63 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (140 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: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) * * [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 (152 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (/ 2 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (/ 2 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ a b) (- 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 (121 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ (pow a 3) (pow b 3)) (- (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 (89 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (fma (* b b) b (pow a 3))) (* (fma (* a a) (- a) (pow b 3)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (fma (* b b) b (pow a 3))) (* (fma (* a a) (- a) (pow b 3)) 2)) * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma a (* a a) (pow b 3)) (- (* b b) (* a a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma a (* a a) (pow b 3)) (- (* b b) (* a a)))) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma (* a a) (- a) (pow b 3)) (- (* a a) (* b b)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma (* a a) (- a) (pow b 3)) (- (* a a) (* b b)))) * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- (* a a) (* b b)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* (* (- b a) 2) (* (+ b a) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* (* (- b a) 2) (* (+ b a) (+ b a)))) * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- (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 (85 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (fma (- a) (* a a) (pow b 3)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (fma (- a) (* a a) (pow b 3)) 2)) * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ (pow a 3) (pow b 3)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma (* b b) b (pow a 3)) (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (fma (* b b) b (pow a 3)) (- b a))) * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- (* a a) (* b b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* (+ b a) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* (+ b a) (* (- b a) 2))) * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ a b) (- 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 (134 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * [exit]simplify: Simplified to (* 2 (* (+ a b) (- b a))) * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI b)) * [exit]simplify: Simplified to (expm1 (/ PI b)) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI b)) * [exit]simplify: Simplified to (log1p (/ PI b)) * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 109 ] 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: [ 40 / 109 ] 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: [ 41 / 109 ] 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: [ 42 / 109 ] 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 (123 enodes) * [exit]simplify: Simplified to (pow (/ PI b) 3) * [exit]simplify: Simplified to (pow (/ PI b) 3) * * * * [misc]progress: [ 43 / 109 ] 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: [ 44 / 109 ] 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: [ 45 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 109 ] 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: [ 47 / 109 ] 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: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI a)) * [exit]simplify: Simplified to (expm1 (/ PI a)) * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI a)) * [exit]simplify: Simplified to (log1p (/ PI a)) * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 109 ] 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: [ 52 / 109 ] 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: [ 53 / 109 ] 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: [ 54 / 109 ] 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 (123 enodes) * [exit]simplify: Simplified to (pow (/ PI a) 3) * [exit]simplify: Simplified to (pow (/ PI a) 3) * * * * [misc]progress: [ 55 / 109 ] 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: [ 56 / 109 ] 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: [ 57 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 109 ] 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: [ 59 / 109 ] 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: [ 60 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (- (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ PI b))) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (- (* (sqrt (/ PI b)) (sqrt (/ PI b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ PI b))) (sqrt (/ PI b)) (* (sqrt (/ PI b)) (sqrt (/ 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 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (- (* (/ PI b) 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 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ PI b)) 1 (* (/ PI b) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (- (* (/ 1 b) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) PI (* (/ 1 b) PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ PI a)) (sqrt (/ PI a)) (- (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ PI b))) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ PI a)) (sqrt (/ PI a)) (- (* (sqrt (/ PI b)) (sqrt (/ PI b))))) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ PI b))) (sqrt (/ PI b)) (* (sqrt (/ PI b)) (sqrt (/ 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 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ PI a)) (sqrt (/ PI a)) (- (* (/ PI b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ PI b)) 1 (* (/ PI b) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ PI a)) (sqrt (/ PI a)) (- (* (/ 1 b) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) PI (* (/ 1 b) PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ PI a) (- (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ PI b))) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ PI a) (- (* (sqrt (/ PI b)) (sqrt (/ PI b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ PI b))) (sqrt (/ PI b)) (* (sqrt (/ PI b)) (sqrt (/ 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 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ PI a) (- (* (/ PI b) 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 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ PI b)) 1 (* (/ PI b) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ PI a) (- (* (/ 1 b) PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) PI (* (/ 1 b) PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma PI (/ 1 a) (- (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ PI b))) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (* (cbrt (/ PI b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma PI (/ 1 a) (- (* (sqrt (/ PI b)) (sqrt (/ PI b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ PI b))) (sqrt (/ PI b)) (* (sqrt (/ PI b)) (sqrt (/ 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 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma PI (/ 1 a) (- (* (/ PI b) 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 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ PI b)) 1 (* (/ PI b) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (fma PI (/ 1 a) (- (* (/ 1 b) PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) PI (* (/ 1 b) PI)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (expm1 (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (expm1 (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log1p (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (log1p (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ PI a)) (exp (/ PI b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (exp (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (exp (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (log (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (log (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (exp (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [enter]simplify: Simplifying (cbrt (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (cbrt (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (pow (- (/ PI a) (/ PI b)) 3) * [exit]simplify: Simplified to (pow (- (/ PI a) (/ PI b)) 3) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [enter]simplify: Simplifying (sqrt (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI b) (* a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* PI (- b a)) * [exit]simplify: Simplified to (* PI (- b a)) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ PI a) 3) (pow (/ PI b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) * [exit]simplify: Simplified to (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) * [enter]simplify: Simplifying (+ (* (/ PI a) (/ PI a)) (+ (* (/ PI b) (/ PI b)) (* (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (fma (/ PI b) (+ (/ PI a) (/ PI b)) (* (/ PI a) (/ PI a))) * [exit]simplify: Simplified to (fma (/ PI b) (+ (/ PI a) (/ PI b)) (* (/ PI a) (/ PI a))) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI a) (/ PI a)) (* (/ PI b) (/ PI b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) (+ (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) (+ (/ PI a) (/ PI b))) * [enter]simplify: Simplifying (+ (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (/ PI b) (/ PI a)) * [exit]simplify: Simplified to (+ (/ PI b) (/ PI a)) * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [enter]simplify: Simplifying (- (sqrt (/ PI a)) (sqrt (/ PI b))) * * [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 a)) (sqrt (/ PI b))) * [exit]simplify: Simplified to (- (sqrt (/ PI a)) (sqrt (/ PI b))) * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI a) (/ PI b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (- PI) b) * [exit]simplify: Simplified to (/ (- PI) b) * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (/ PI b) (/ PI a)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI a) (/ PI b)) (* (* (+ a b) 2) (- b a))) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (/ PI b) (/ PI a)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI a) (/ PI b)) (* (* (+ a b) 2) (- b a))) * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) * * * * [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 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 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 into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 0 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 into 1 * [misc]backup-simplify: Simplify PI 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 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 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 into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 0 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 into 1 * [misc]backup-simplify: Simplify PI 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 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 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 into 0 * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ (/ PI b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ (* 1/2 (/ PI b)) b) (* (* 1/2 (/ PI b)) (/ 1 b))) into (/ PI (pow b 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 into PI * [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 0 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (/ PI (pow b 2)) (/ 1 b)))) into (/ PI (pow b 3)) * [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 into PI * [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 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 b) (* (/ PI b) (/ 0 b))) 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 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b))))) into (/ PI (pow b 4)) * [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 into PI * [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 (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b 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 PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [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 (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* (* 1/2 (* b PI)) (/ 1 b))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [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 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [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 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1 b)) into (/ PI (pow b 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 into PI * [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 (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 into PI * [misc]backup-simplify: Simplify 0 into 0 * [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 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)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ (* -1/2 PI) -1) (* (* -1/2 (* PI b)) (/ (/ 1 b) -1))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [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 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)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 (* PI (/ (/ 1 b) -1)) into (* -1 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI 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 (/ 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 into PI * [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 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 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 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)) (* (* b PI) (/ 0 (/ 1 b)))) 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 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ PI b)) (/ (/ 1 b) -1)) into (/ PI (pow b 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 into PI * [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 (* (* -1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 a into a * [misc]backup-simplify: Simplify 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) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 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 a) (/ PI b)) 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) 2) 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 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 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 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 into PI * [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 (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ (/ PI b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ (* 1/2 (/ PI b)) b) (* (* 1/2 (/ PI b)) (/ 1 b))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (/ (/ PI (pow b 2)) 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 into PI * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (/ PI (pow b 2)) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ (/ PI (pow b 3)) 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 into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* (* 1/2 (* b PI)) (/ 1 b))) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ PI -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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 (+ (/ (/ PI b) -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 into PI * [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 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 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 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 (* a PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 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 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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ (* -1/2 PI) -1) (* (* -1/2 (* PI b)) (/ (/ 1 b) -1))) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ PI (* (* -1/2 (* PI b)) (/ 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (/ 1 b)) (* (* b PI) (/ 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 (* PI (/ (/ 1 b) -1)) into (* -1 (/ 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ PI b)) (* (* 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 (/ 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 into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI b)) * [exit]simplify: Simplified to (expm1 (/ PI b)) * * * * [misc]progress: [ 2 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI b)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI b)) * [exit]simplify: Simplified to (log1p (/ PI b)) * * * * [misc]progress: [ 3 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 168 ] 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: [ 5 / 168 ] 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: [ 6 / 168 ] 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: [ 7 / 168 ] 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 (123 enodes) * [exit]simplify: Simplified to (pow (/ PI b) 3) * [exit]simplify: Simplified to (pow (/ PI b) 3) * * * * [misc]progress: [ 8 / 168 ] 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: [ 9 / 168 ] 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: [ 10 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 168 ] 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: [ 12 / 168 ] 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: [ 13 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI a)) * [exit]simplify: Simplified to (expm1 (/ PI a)) * * * * [misc]progress: [ 14 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI a)) * [exit]simplify: Simplified to (log1p (/ PI a)) * * * * [misc]progress: [ 15 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 168 ] 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: [ 17 / 168 ] 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: [ 18 / 168 ] 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: [ 19 / 168 ] 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 (123 enodes) * [exit]simplify: Simplified to (pow (/ PI a) 3) * [exit]simplify: Simplified to (pow (/ PI a) 3) * * * * [misc]progress: [ 20 / 168 ] 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: [ 21 / 168 ] 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: [ 22 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 168 ] 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: [ 24 / 168 ] 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: [ 25 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * * * * [misc]progress: [ 26 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * * * * [misc]progress: [ 27 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (+ (log 2) (log (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (+ (log 2) (log (+ b a)))) * * * * [misc]progress: [ 29 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (204 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: [ 30 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (168 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: [ 31 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (182 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: [ 32 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (142 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) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 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: [ 33 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (303 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: [ 34 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 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) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (141 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: [ 35 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) 2) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) 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: [ 36 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) 2) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI b) 2) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 b) (+ b a))) * [exit]simplify: Simplified to (/ PI (* (* 2 b) (+ b a))) * * * * [misc]progress: [ 37 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 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 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ b a))) * * * * [misc]progress: [ 38 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 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 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * * * * [misc]progress: [ 39 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 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 (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * * * * [misc]progress: [ 40 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 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 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (+ b a))) * * * * [misc]progress: [ 41 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 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 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 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 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (+ b a))) * * * * [misc]progress: [ 42 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 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)) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (11 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 (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * * * * [misc]progress: [ 43 / 168 ] 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 (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ b a))) * * * * [misc]progress: [ 44 / 168 ] 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 (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * * * * [misc]progress: [ 45 / 168 ] 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) (+ 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 (63 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (140 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: [ 46 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [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) (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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ b a))) * * * * [misc]progress: [ 47 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * * [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) (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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ b a))) * * * * [misc]progress: [ 48 / 168 ] 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) (+ 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) (+ b a)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ b a)) * * * * [misc]progress: [ 49 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 168 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 51 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 52 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) 2)) * * * * [misc]progress: [ 53 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * * * * [misc]progress: [ 54 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 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 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 55 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (11 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 (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 56 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * [misc]simplify: iters left: 6 (11 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 (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 57 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ (- (/ PI a) (/ PI b)) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 58 / 168 ] 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 (* 2 (+ a b)) * [exit]simplify: Simplified to (* 2 (+ a b)) * * * * [misc]progress: [ 59 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) (* 2 b)) (* (* a a) (* 2 a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) (* 2 b)) (* (* a a) (* 2 a)))) * * * * [misc]progress: [ 60 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ b a)) (- a b))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* 2 (+ b a)) (- a b))) * * * * [misc]progress: [ 61 / 168 ] 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) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (+ a b) 2) * [exit]simplify: Simplified to (* (+ a b) 2) * * * * [misc]progress: [ 62 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 63 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 64 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ b a)))) * * * * [misc]progress: [ 66 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (431 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: [ 67 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 68 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (285 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: [ 69 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (- b a)) (* (- b a) (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (- b a)) (* (- b a) (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * * * * [misc]progress: [ 70 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (146 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: [ 71 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a)))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (280 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: [ 72 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) 2)) 3) * * * * [misc]progress: [ 73 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (280 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) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (280 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: [ 74 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (210 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 (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: [ 75 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ PI a) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (+ a b) a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (+ a b) a)) * [enter]simplify: Simplifying (/ (/ (/ (/ PI b) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (* (- b a) b)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (* (- b a) b)) * * * * [misc]progress: [ 76 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (170 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) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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: [ 77 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) (sqrt (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) (sqrt (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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: [ 78 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (170 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) (+ a b))) (- 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 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 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: [ 79 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (150 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) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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: [ 80 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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: [ 81 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 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) (+ a b))) (- 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 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 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: [ 82 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 83 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (* (sqrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (* (sqrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 84 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 85 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 86 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 87 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 88 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 89 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 90 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 91 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 92 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 93 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 94 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (sqrt (+ b a))) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (- b a)) (sqrt (+ b a))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 95 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 96 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 97 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (* (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 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 98 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 99 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 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)) 2)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 100 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 101 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 102 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (25 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) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 103 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 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 (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 104 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 105 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 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) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 106 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (369 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: [ 107 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- 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 (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (369 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: [ 108 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 109 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (cbrt (- b a)))) (* (cbrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (cbrt (- b a)))) (* (cbrt (+ b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 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))) * * * * [misc]progress: [ 110 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 111 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (209 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) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * * * * [misc]progress: [ 112 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (- b a))) (sqrt (+ b a))) * * * * [misc]progress: [ 113 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (sqrt (- 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 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (sqrt (+ b a))) * * * * [misc]progress: [ 114 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (111 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) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * * * * [misc]progress: [ 115 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (216 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) (+ a b)) (cbrt (- b a))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 116 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (103 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) (+ a b)) (sqrt (- b a))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 117 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 118 / 168 ] 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 a) (/ PI b)) 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (369 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: [ 119 / 168 ] 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 a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (369 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: [ 120 / 168 ] 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) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 121 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (* (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 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) 2)) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 122 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 123 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 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 (68 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * * * * [misc]progress: [ 124 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ (* (* b b) (* 2 b)) (* (* 2 a) (* a a))))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ (* (* b b) (* 2 b)) (* (* 2 a) (* a a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (cbrt (- b a))) * * * * [misc]progress: [ 125 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (+ (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (sqrt (- b a))) * * * * [misc]progress: [ 126 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma a (* (* 2 a) a) (* (* 2 b) (* b b)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma a (* (* 2 a) a) (* (* 2 b) (* b b)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * * * * [misc]progress: [ 127 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (* (- a b) (+ b a))) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (* (- a b) (+ b a))) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * * * * [misc]progress: [ 128 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (* (+ b a) (- a b)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (* (+ b a) (- a b)))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * * * * [misc]progress: [ 129 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* 2 (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- a b)) (* 2 (+ b a))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * * * * [misc]progress: [ 130 / 168 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 168 ] 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: [ 132 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 133 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ b a) 2))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ b a) 2))) * * * * [misc]progress: [ 134 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (369 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: [ 135 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (270 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: [ 136 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))))) * * * * [misc]progress: [ 137 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))))) * * * * [misc]progress: [ 138 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 139 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ b a)) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (+ b a)) (- b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 140 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 141 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 142 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ b a)) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (+ b a)) (- b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 143 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 144 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b)))) * * [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 (133 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ b a)) 2) (/ (- b a) (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (* (* (cbrt (+ b a)) 2) (/ (- b a) (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 145 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b)))) * * [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 (133 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ b a)) 2) (/ (- b a) (- (/ PI a) (/ PI b)))) * [exit]simplify: Simplified to (* (* (sqrt (+ b a)) 2) (/ (- b a) (- (/ PI a) (/ PI b)))) * * * * [misc]progress: [ 146 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 147 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (* 2 (- b a)) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (* 2 (- b a)) (cbrt (+ b a))) * * * * [misc]progress: [ 148 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (* 2 (- b a)) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (* 2 (- b a)) (sqrt (+ b a))) * * * * [misc]progress: [ 149 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * * * * [misc]progress: [ 150 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (* 2 (- b a)) (+ b a)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 151 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ 1 (+ a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * * * * [misc]progress: [ 152 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (+ (* a a) (- (* b b) (* a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * * * * [misc]progress: [ 153 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- b a) (- a b)) * [exit]simplify: Simplified to (/ (- b a) (- a b)) * * * * [misc]progress: [ 154 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 155 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- (* 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 (168 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (* (- b a) 2) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (* (- b a) 2) (+ b a))) * * * * [misc]progress: [ 156 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * * * * [misc]progress: [ 157 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 158 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 159 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 160 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 161 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 162 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 163 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 164 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 165 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ -1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 166 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 167 / 168 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 168 / 168 ] 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 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) * * * * [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 2) * [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 into 1 * [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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 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 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 (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (/ 1 (- b)))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 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 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 into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 0 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 into 1 * [misc]backup-simplify: Simplify PI 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 (/ 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 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 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]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 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]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 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 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 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ (/ PI b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ (* 1/2 (/ PI b)) b) (* (* 1/2 (/ PI b)) (/ 1 b))) into (/ PI (pow b 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 into PI * [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 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 (+ (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (/ PI (pow b 2)) (/ 1 b)))) into (/ PI (pow b 3)) * [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 into PI * [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 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 b) (/ 0 b)) 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 (+ (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (+ (* (/ PI (pow b 2)) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b))))) into (/ PI (pow b 4)) * [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 into PI * [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 (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b 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 PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [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 (* (/ 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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* (* 1/2 (* b PI)) (/ 1 b))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [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 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify PI into PI * [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 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 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 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1 b)) into (/ PI (pow b 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 into PI * [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 (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 (* a PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 into PI * [misc]backup-simplify: Simplify 0 into 0 * [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 into 0 * [misc]backup-simplify: Simplify b into 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ (* -1/2 PI) -1) (* (* -1/2 (* PI b)) (/ (/ 1 b) -1))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [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 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)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) 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 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 (* PI (/ (/ 1 b) -1)) into (* -1 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI 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 (/ 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 into PI * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify b into 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 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 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)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ PI b)) (/ (/ 1 b) -1)) into (/ PI (pow b 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 into PI * [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 (* (* -1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 (/ 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 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify PI into PI * [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 into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 a into a * [misc]backup-simplify: Simplify 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 (/ 1 b))) 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 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]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 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 a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (* PI (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI a) (* PI (/ 1 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 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]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify PI into PI * [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 b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 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 into PI * [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 (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ (/ PI b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ (* 1/2 (/ PI b)) b) (* (* 1/2 (/ PI b)) (/ 1 b))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (/ (/ PI (pow b 2)) 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 into PI * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (/ PI (pow b 2)) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ (/ PI (pow b 3)) 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 into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 1 b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 a)) (* PI (/ 1 (/ 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 into 1 * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* (* 1/2 (* b PI)) (/ 1 b))) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ PI -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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 0 b)) 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 (+ (/ (/ PI b) -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 into PI * [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 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 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 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 (* a PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a PI) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a 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 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 1 (- b))))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (/ 1 (- a))) (* PI (/ 1 (/ 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 into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (/ 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 (/ 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 b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (* b PI) into (* PI b) * [misc]backup-simplify: Simplify (* PI b) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b 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 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 into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) 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 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [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 b into 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 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ (* -1/2 PI) -1) (* (* -1/2 (* PI b)) (/ (/ 1 b) -1))) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ PI (* (* -1/2 (* PI b)) (/ 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 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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)) into 0 * [misc]backup-simplify: Simplify (* b (/ 0 (/ 1 b))) 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 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 (* PI (/ (/ 1 b) -1)) into (* -1 (/ 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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ PI b)) (* (* 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 (/ 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 into PI * [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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (/ PI b)) * [exit]simplify: Simplified to (expm1 (/ PI b)) * * * * [misc]progress: [ 2 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (/ PI b)) * [exit]simplify: Simplified to (log1p (/ PI b)) * * * * [misc]progress: [ 3 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ PI b)) * [exit]simplify: Simplified to (log (/ PI b)) * * * * [misc]progress: [ 5 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (/ PI b)) * [exit]simplify: Simplified to (exp (/ PI b)) * * * * [misc]progress: [ 6 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI (/ 1 b))) (cbrt (* PI (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 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 (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ PI b)) * [exit]simplify: Simplified to (cbrt (/ PI b)) * * * * [misc]progress: [ 7 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI (/ 1 b)) (* PI (/ 1 b))) (* PI (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (pow (/ PI b) 3) * [exit]simplify: Simplified to (pow (/ PI b) 3) * * * * [misc]progress: [ 8 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [enter]simplify: Simplifying (sqrt (* PI (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ PI b)) * [exit]simplify: Simplified to (sqrt (/ PI b)) * * * * [misc]progress: [ 9 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 b)) PI) (cbrt (/ 1 b))) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 b)) PI) (cbrt (/ 1 b))) * * * * [misc]progress: [ 12 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 b)) PI) * [exit]simplify: Simplified to (* (sqrt (/ 1 b)) PI) * * * * [misc]progress: [ 13 / 172 ] 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 * * * * [misc]progress: [ 14 / 172 ] 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 * * * * [misc]progress: [ 15 / 172 ] 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 * * * * [misc]progress: [ 16 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (/ PI a)) * [exit]simplify: Simplified to (expm1 (/ PI a)) * * * * [misc]progress: [ 18 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ PI a)) * [exit]simplify: Simplified to (log1p (/ PI a)) * * * * [misc]progress: [ 19 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 172 ] 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: [ 21 / 172 ] 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: [ 22 / 172 ] 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: [ 23 / 172 ] 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 (123 enodes) * [exit]simplify: Simplified to (pow (/ PI a) 3) * [exit]simplify: Simplified to (pow (/ PI a) 3) * * * * [misc]progress: [ 24 / 172 ] 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: [ 25 / 172 ] 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: [ 26 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 172 ] 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: [ 28 / 172 ] 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: [ 29 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * * * * [misc]progress: [ 30 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * * * * [misc]progress: [ 31 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (log (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (+ (log 2) (log (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (+ (log 2) (log (+ b a)))) * * * * [misc]progress: [ 33 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (268 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: [ 34 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (262 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: [ 35 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI a) (* PI (/ 1 b))) 2) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (197 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: [ 36 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) * * [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 (109 enodes) * * [misc]simplify: iters left: 2 (234 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 (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 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: [ 37 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (333 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: [ 38 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 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 (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 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: [ 39 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI a) (* PI (/ 1 b))) 2)) * * [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 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ (/ PI 2) a)) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ (/ PI 2) a)) * [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: [ 40 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI a) 2) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (* PI (/ 1 b)) 2) (+ 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 (172 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) b)) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) b)) * * * * [misc]progress: [ 41 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) * * * * [misc]progress: [ 42 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * * * * [misc]progress: [ 43 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) 1) * * [misc]simplify: iters left: 6 (13 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 (138 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * * * * [misc]progress: [ 44 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) * * * * [misc]progress: [ 45 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * * * * [misc]progress: [ 46 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (206 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 (/ 1 b))) 2)) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) * * * * [misc]progress: [ 47 / 172 ] 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 (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ b a))) * * * * [misc]progress: [ 48 / 172 ] 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 (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * * * * [misc]progress: [ 49 / 172 ] 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 (/ 1 b))) 2) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (233 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: [ 50 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (* PI (/ 1 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (421 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) (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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (+ b a))) * * * * [misc]progress: [ 51 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (* PI (/ 1 b))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (280 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) (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 (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (+ b a))) * * * * [misc]progress: [ 52 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI a) (* PI (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 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 (106 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (/ (/ 1 2) (+ a b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ b a)) * * * * [misc]progress: [ 53 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 172 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 55 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 56 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (* (cbrt (+ b a)) 2)) * * * * [misc]progress: [ 57 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ b a))) * * * * [misc]progress: [ 58 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 59 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 60 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 61 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 62 / 172 ] 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 (* 2 (+ a b)) * [exit]simplify: Simplified to (* 2 (+ a b)) * * * * [misc]progress: [ 63 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* (* 2 b) b) b (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* (* 2 b) b) b (* (* 2 a) (* a a)))) * * * * [misc]progress: [ 64 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- a b) (+ b a))) 2) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- a b) (+ b a))) 2) * * * * [misc]progress: [ 65 / 172 ] 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) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (+ a b) 2) * [exit]simplify: Simplified to (* (+ a b) 2) * * * * [misc]progress: [ 66 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * * * * [misc]progress: [ 67 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * * * * [misc]progress: [ 68 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (log (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 70 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (342 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: [ 71 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * [exit]simplify: Simplified to (log (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) * * * * [misc]progress: [ 72 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (465 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: [ 73 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (- (/ PI a) (* PI (/ 1 b))) 2) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (- b a)) (* (- b a) (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (* (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (- b a) (- b a)) (* (- b a) (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * * * * [misc]progress: [ 74 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (159 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: [ 75 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- b a)))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 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: [ 76 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (489 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: [ 77 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 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))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 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: [ 78 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (- (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (- (/ (- (/ PI a) (/ PI b)) (* (+ b a) 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: [ 79 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (/ PI a) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (+ a b) a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* (+ a b) a)) * [enter]simplify: Simplifying (/ (/ (/ (* PI (/ 1 b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (* 2 b) (- b a))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (* 2 b) (- b a))) * * * * [misc]progress: [ 80 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) (* (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 (77 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (261 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 (/ 1 b))) 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (240 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: [ 81 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) (sqrt (- 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 (120 enodes) * * [misc]simplify: iters left: 2 (243 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 (/ 1 b))) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (240 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: [ 82 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (257 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 (/ 1 b))) 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (237 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: [ 83 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (* (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 (63 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (241 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 (/ 1 b))) 2) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (240 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: [ 84 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (240 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 (/ 1 b))) 2) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (240 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: [ 85 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (236 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 (/ 1 b))) 2) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (237 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: [ 86 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 87 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 88 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 89 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (sqrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 90 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 91 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 92 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 93 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 94 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) (- b a)) * * [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 (114 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 95 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 96 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 97 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 98 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 99 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 100 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 101 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 102 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) 1) (sqrt (- 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 (80 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 103 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (214 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 (/ 1 b))) 2)) (+ a b)) (- b a)) * * [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 (114 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 104 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (+ b a)) 2)) * * * * [misc]progress: [ 105 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) 2)) * * * * [misc]progress: [ 106 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (25 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 (/ 1 b))) 2) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 107 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 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 (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (sqrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (sqrt (+ b a)) 2)) * * * * [misc]progress: [ 108 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (sqrt (+ b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (sqrt (+ b a)) 2)) * * * * [misc]progress: [ 109 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) (* (- b a) 2))) * * * * [misc]progress: [ 110 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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 (/ 1 b))) 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (+ b a))) * * * * [misc]progress: [ 111 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- 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 (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 112 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 113 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 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))) * * * * [misc]progress: [ 114 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 115 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (351 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) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * * * * [misc]progress: [ 116 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (cbrt (- b a))) (sqrt (+ b a))) * * * * [misc]progress: [ 117 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (sqrt (- b a))) (sqrt (+ b a))) * * * * [misc]progress: [ 118 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (456 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) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * * * * [misc]progress: [ 119 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (436 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) (+ a b)) (cbrt (- b a))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 120 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (404 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) (+ a b)) (sqrt (- b a))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 121 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (/ (/ (/ 1 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 122 / 172 ] 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 a) (* PI (/ 1 b))) 2) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (- b a)) (+ b a))) * * * * [misc]progress: [ 123 / 172 ] 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 a) (* PI (/ 1 b))) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 124 / 172 ] 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 (/ 1 b))) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 125 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) 2)) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) (* (cbrt (- b a)) 2)) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 126 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 127 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * * * * [misc]progress: [ 128 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ (* (* 2 a) (* a a)) (* (* 2 b) (* b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ (* (* 2 a) (* a a)) (* (* 2 b) (* b b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (cbrt (- b a))) * * * * [misc]progress: [ 129 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (fma (* (* b b) 2) b (* (* a a) (* 2 a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (fma (* (* b b) 2) b (* (* a a) (* 2 a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (sqrt (- b a))) * * * * [misc]progress: [ 130 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* a a) (* 2 a) (* (* b b) (* 2 b)))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* a a) (* 2 a) (* (* b b) (* 2 b)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * * * * [misc]progress: [ 131 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (- a b)) * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (- a b)) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * * * * [misc]progress: [ 132 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (* (+ b a) 2) (- a b))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (* (* (+ b a) 2) (- a b))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * * * * [misc]progress: [ 133 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) 2) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) 2) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * * * * [misc]progress: [ 134 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 172 ] 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: [ 136 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * * * * [misc]progress: [ 137 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 138 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 139 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (365 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: [ 140 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * * * * [misc]progress: [ 141 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)))) * * * * [misc]progress: [ 142 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 143 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 144 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 145 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 146 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 147 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (/ (- (/ PI a) (* PI (/ 1 b))) 2)) (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [exit]simplify: Simplified to (/ (* (- b a) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 148 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (cbrt (+ a b)))) * * [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 (176 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * * * [misc]progress: [ 149 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (sqrt (+ a b)))) * * [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 (176 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * * * * [misc]progress: [ 150 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * * * * [misc]progress: [ 151 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (* 2 (- b a)) (cbrt (+ b a))) * [exit]simplify: Simplified to (* (* 2 (- b a)) (cbrt (+ b a))) * * * * [misc]progress: [ 152 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (* 2 (- b a)) (sqrt (+ b a))) * [exit]simplify: Simplified to (* (* 2 (- b a)) (sqrt (+ b a))) * * * * [misc]progress: [ 153 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ 1 2) (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * * * * [misc]progress: [ 154 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (- (/ PI a) (/ PI b))) (* (+ b a) 2)) * * * * [misc]progress: [ 155 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ 1 (+ a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * * * * [misc]progress: [ 156 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (+ (* a a) (- (* b b) (* a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * * * * [misc]progress: [ 157 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- b a) (- a b)) * [exit]simplify: Simplified to (/ (- b a) (- a b)) * * * * [misc]progress: [ 158 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- (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 (91 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (fma (* a a) (- a) (pow b 3)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (fma (* a a) (- a) (pow b 3)))) * * * * [misc]progress: [ 159 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (214 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: [ 160 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * * * * [misc]progress: [ 161 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 162 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 163 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* 2 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 164 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 165 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 166 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (- (/ PI a) (* PI (/ 1 b))) 2) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 167 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 168 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ 1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 169 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (461 enodes) * [exit]simplify: Simplified to (/ (* (/ -1/2 a) (/ PI b)) (- b a)) * * * * [misc]progress: [ 170 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 171 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 172 / 172 ] 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 b +nan.0)) , with alts (#) * [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]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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 8000 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 7 of 8000 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 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 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 1333 additional inputs, on iter 1 have 6667 / 8000 * * * * [misc]points: Computing exacts on every 83 of 1333 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 41 of 1333 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 20 of 1333 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1333 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1333 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1333 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1333 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 215 additional inputs, on iter 2 have 7785 / 8000 * * * * [misc]points: Computing exacts on every 13 of 215 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 215 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 215 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 215 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 28 additional inputs, on iter 3 have 7972 / 8000 * * * * [misc]points: Computing exacts for 28 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 4 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs