* [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 34 additional inputs, on iter 1 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 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 8 additional inputs, on iter 2 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ PI (pow b 2)))) (* (- (/ 1 b)) (* 1/2 (/ PI b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ PI (pow b 3)))) (+ (* (- (/ 1 b)) (* 1/2 (/ PI (pow b 2)))) (* 0 (* 1/2 (/ PI b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (* 1/2 (/ PI (pow b 3))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ PI (pow b 4)))) (+ (* (- (/ 1 b)) (* 1/2 (/ PI (pow b 3)))) (+ (* 0 (* 1/2 (/ PI (pow b 2)))) (* 0 (* 1/2 (/ PI b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (* -1/2 PI)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/2 (/ PI b)))) (* 1 (* -1/2 PI))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/2 (/ PI (pow b 2))))) (+ (* 1 (- (* 1/2 (/ PI b)))) (* 0 (* -1/2 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI b))) (/ 0 -1)) (* (- (* 1/2 (/ PI (pow b 2)))) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/2 (/ PI (pow b 3))))) (+ (* 1 (- (* 1/2 (/ PI (pow b 2))))) (+ (* 0 (- (* 1/2 (/ PI b)))) (* 0 (* -1/2 PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* 1/2 PI)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* b (* 1/2 (/ PI b))) (* -1 (* 1/2 PI))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b (* 1/2 (/ PI (pow b 2)))) (+ (* -1 (* 1/2 (/ PI b))) (* 0 (* 1/2 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI b)) (/ 0 1)) (* (* 1/2 (/ PI (pow b 2))) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b (* 1/2 (/ PI (pow b 3)))) (+ (* -1 (* 1/2 (/ PI (pow b 2)))) (+ (* 0 (* 1/2 (/ PI b))) (* 0 (* 1/2 PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (+ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) a) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 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 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ PI (pow b 2)))) (* (- (/ 1 b)) (* 1/2 (/ PI b)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ PI (pow b 3)))) (+ (* (- (/ 1 b)) (* 1/2 (/ PI (pow b 2)))) (* 0 (* 1/2 (/ PI b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a (* 1/2 PI)) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (* -1/2 PI)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (* (- b) (* -1/2 PI)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/2 (/ PI b)))) (* 1 (* -1/2 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) 1)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI b))) (/ (/ 1 b) -1)))) into (- (* 1/2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- b) (- (* 1/2 (/ PI (pow b 2))))) (+ (* 1 (- (* 1/2 (/ PI b)))) (* 0 (* -1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (* (- a) (* -1/2 PI)) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* 1/2 PI)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b (* 1/2 PI)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* b (* 1/2 (/ PI b))) (* -1 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* b PI)) (/ (- (/ 1 b)) -1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI b)) (/ (- (/ 1 b)) 1)))) into (* 1/2 (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b (* 1/2 (/ PI (pow b 2)))) (+ (* -1 (* 1/2 (/ PI b))) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* b PI)) (/ 0 -1)) (* (* 1/2 PI) (/ (- (/ 1 b)) -1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 4 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (- (log (/ PI 2)) (log (- b a))) (log (- (/ 1 a) (/ 1 b))))) (+ a b))) * * * * [misc]progress: [ 6 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ PI 2) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (+ (log (/ (/ PI 2) (- b a))) (log (- (/ 1 a) (/ 1 b))))) (+ a b))) * * * * [misc]progress: [ 7 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (pow (- (/ 1 a) (/ 1 b)) 3) (pow (/ (/ PI 2) (- b a)) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (pow (- (/ 1 a) (/ 1 b)) 3) (pow (/ (/ PI 2) (- b a)) 3))) (+ a b))) * * * * [misc]progress: [ 10 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ PI 2) (- b a)) 3) (pow (- (/ 1 a) (/ 1 b)) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (* (pow (/ (/ PI 2) (- b a)) 3) (pow (- (/ 1 a) (/ 1 b)) 3))) (+ a b))) * * * * [misc]progress: [ 11 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (/ PI 2) (- b a)) (* (* a b) (- b a))) (+ a b))) * [enter]simplify: Simplifying (* (* a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* a b) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (/ PI 2) (- b a)) (* (* a b) (- b a))) (+ a b))) * * * * [misc]progress: [ 15 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) b) (/ (/ PI 2) (* b b)) (/ (/ PI 2) (pow a 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (fma (/ (- 1) b) (/ (/ PI 2) (* b b)) (/ (/ PI 2) (pow a 3))) (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (- b a))) (+ a b))) * [enter]simplify: Simplifying (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (fma (+ (/ 1 a) (/ 1 b)) (* (- b a) (/ 1 b)) (/ (/ 1 a) (/ a (- b a)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) (fma (+ (/ 1 a) (/ 1 b)) (* (- b a) (/ 1 b)) (/ (/ 1 a) (/ a (- b a))))) (+ a b))) * * * * [misc]progress: [ 16 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) (* (+ (/ 1 a) (/ 1 b)) (- b a))) (+ a b))) * [enter]simplify: Simplifying (* (+ (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (+ (/ (- b a) b) (/ (- b a) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) (+ (/ (- b a) b) (/ (- b a) a))) (+ a b))) * * * * [misc]progress: [ 17 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (/ PI 2) (- b a))) (cbrt (/ (/ PI 2) (- b a))))) (cbrt (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 19 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (sqrt (/ (/ PI 2) (- b a)))) (sqrt (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 20 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 21 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a)))) (/ (cbrt (/ PI 2)) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 22 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1)) (/ (cbrt (/ PI 2)) (- b a))) (+ a b))) * * * * [misc]progress: [ 23 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (/ PI 2)) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 24 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (sqrt (- b a)))) (/ (sqrt (/ PI 2)) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 25 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) 1)) (/ (sqrt (/ PI 2)) (- b a))) (+ a b))) * * * * [misc]progress: [ 26 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ PI 2) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 27 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ 1 (sqrt (- b a)))) (/ (/ PI 2) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 28 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ 1 1)) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 29 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ PI (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ 1 2) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 30 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ PI (sqrt (- b a)))) (/ (/ 1 2) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 31 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ PI 1)) (/ (/ 1 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 32 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) 1) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 33 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) (/ 1 (- b a))) (+ a b))) * * * * [misc]progress: [ 34 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b))) (+ a b))) * * * * [misc]progress: [ 35 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- (* b b) (* a a)))) (+ a b)) (+ a b))) * * * * [misc]progress: [ 36 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 37 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 38 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 40 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 45 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ PI 2) (* a b)) (+ a b))) * * * * [misc]progress: [ 46 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (- b a) (/ PI 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (- b a) (/ PI 2))) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) (+ a b))) * * * * [misc]progress: [ 47 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1 b) (/ 1 a)) 2) (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (/ (+ (/ 1 b) (/ 1 a)) 2) (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) (+ a b))) * * * * [misc]progress: [ 48 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (exp (- (log (/ PI 2)) (log (- b a))))) (+ a b))) * * * * [misc]progress: [ 53 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (cbrt (pow (/ (/ PI 2) (- b a)) 3))) (+ a b))) * * * * [misc]progress: [ 56 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (* (/ (cbrt (/ PI 2)) (cbrt (- b a))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))) (/ (cbrt (/ PI 2)) (cbrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (/ PI 2)) (cbrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 61 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI 2)) (sqrt (- b a))) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (* (/ (cbrt (/ PI 2)) (sqrt (- b a))) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (sqrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) (/ (cbrt (/ PI 2)) (sqrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 62 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (cbrt (/ PI 2)) (- b a)))) (+ a b))) * * * * [misc]progress: [ 63 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI 2)) (cbrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ PI 2)) (cbrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 64 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (sqrt (- b a))) (/ (sqrt (/ PI 2)) (sqrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (sqrt (/ PI 2)) (sqrt (- b a))) (/ (sqrt (/ PI 2)) (sqrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 65 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (- b a)))) (+ a b))) * * * * [misc]progress: [ 66 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ PI 2) (cbrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI 2) (cbrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 67 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (sqrt (- b a))) (/ (/ PI 2) (sqrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ 1 (sqrt (- b a))) (/ (/ PI 2) (sqrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 68 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* 1 (/ (/ PI 2) (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* 1 (/ (/ PI 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 69 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (/ 1 2) (cbrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 2) (cbrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 70 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ PI (sqrt (- b a))) (/ (/ 1 2) (sqrt (- b a))))) (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ PI (sqrt (- b a))) (/ (/ 1 2) (sqrt (- b a))))) (+ a b))) * * * * [misc]progress: [ 71 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* PI (/ (/ 1 2) (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* PI (/ (/ 1 2) (- b a)))) (+ a b))) * * * * [misc]progress: [ 72 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 76 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ (/ PI 2) (sqrt (- b a))) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 77 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ (/ PI 2) 1) (- b a))) (+ a b))) * * * * [misc]progress: [ 78 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (- b a) (cbrt (/ PI 2))))) (+ a b))) * * * * [misc]progress: [ 79 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (sqrt (/ PI 2)) (/ (- b a) (sqrt (/ PI 2))))) (+ a b))) * * * * [misc]progress: [ 80 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b)))) (+ a b))) * * * * [misc]progress: [ 83 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (* (/ (/ PI 2) (- (* b b) (* a a))) (+ a b))) (+ a b))) * * * * [misc]progress: [ 84 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (/ 1 a) (/ 1 b))) (- (log (/ PI 2)) (log (- b a)))) (log (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (+ (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ a b)) (log (- b a)))) (log (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ a b)) (log (- b a)))) (log (/ PI 2))))) * * * * [misc]progress: [ 89 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (/ 1 a) (/ 1 b))) (log (/ (/ PI 2) (- b a)))) (log (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (- (+ (log (/ (/ PI 2) (- b a))) (log (- (/ 1 a) (/ 1 b)))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (+ (log (/ (/ PI 2) (- b a))) (log (- (/ 1 a) (/ 1 b)))) (log (+ a b))))) * * * * [misc]progress: [ 90 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a)))) (log (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (log (+ a b))))) * * * * [misc]progress: [ 91 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (323 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (/ PI 2) (- b a)) (+ a b)) (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a)))) (/ (/ (* (+ a b) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (/ (/ (/ PI 2) (- b a)) (+ a b)) (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a)))) (/ (/ (* (+ a b) (+ a b)) (- (/ 1 a) (/ 1 b))) (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 94 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ a b) (+ a b)) (/ (/ PI 2) (- b a)))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ a b) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (* (+ a b) (+ a b)) (/ (/ PI 2) (- b a)))) (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (+ a b) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 95 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a)))) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a)))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (* (+ a b) (+ a b)) (/ (/ PI 2) (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (/ (* (+ a b) (+ a b)) (/ (/ PI 2) (- b a))))))) * * * * [misc]progress: [ 96 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ PI 2) (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 101 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) (/ (/ (/ PI 2) (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 102 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ (/ PI 2) (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (/ PI 2) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ (/ PI 2) (- b a)) (+ b a)))) * * * * [misc]progress: [ 103 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a)))) * * * * [misc]progress: [ 107 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (sqrt (+ a b))) (sqrt (+ b a)))) * * * * [misc]progress: [ 108 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) 1) (+ b a))) * * * * [misc]progress: [ 109 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 110 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 111 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (- (* a a) (* b b))) (- a b))) * * * * [misc]progress: [ 112 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (+ a b) (* (* a b) (- b a))))) * * * * [misc]progress: [ 113 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) b) (/ (/ PI 2) (* b b)) (/ (/ PI 2) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (fma (/ (- 1) b) (/ (/ PI 2) (* b b)) (/ (/ PI 2) (pow a 3))) (* (+ a b) (* (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) (- b a))))) * * * * [misc]progress: [ 114 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) (* (+ a b) (* (+ (/ 1 a) (/ 1 b)) (- b a))))) * * * * [misc]progress: [ 115 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 116 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 b) (* a 1)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI 2) (* (+ a b) (* a b)))) * * * * [misc]progress: [ 117 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (- b a) (/ PI 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ (- b a) (/ PI 2))) (* (+ a b) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 118 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1 b) (/ 1 a)) 2) (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (+ (/ 1 b) (/ 1 a)) 2) (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b)))) (* (+ a b) (+ (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 119 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 120 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 121 / 170 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 122 / 170 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 123 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 124 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 125 / 170 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 126 / 170 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 127 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 128 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 129 / 170 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 130 / 170 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 131 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 132 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) (/ (/ PI 2) (- b a))) (+ a 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 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 133 / 170 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 134 / 170 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) (/ (/ PI 2) (- b a))) (+ a 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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (+ (- (/ 1 a) (/ 1 b)) 0) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 135 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 138 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 139 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (log (exp (- (/ 1 a) (/ 1 b)))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 142 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (/ (- b a) (* a b)) (/ (/ PI 2) (- b a))) (+ a b))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (/ (- b a) (* a b)) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 149 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (* (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (/ PI 2) (- b a))) (+ a 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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 154 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* 1 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 155 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* 1 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 156 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* 1 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 157 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (* (* 1 (- (/ 1 a) (/ 1 b))) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 158 / 170 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 160 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 161 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 162 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) 0) (+ a b))) * * * * [misc]progress: [ 163 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) 0) (+ a b))) * * * * [misc]progress: [ 164 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) 0) (+ a b))) * * * * [misc]progress: [ 165 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 166 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 167 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 168 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 169 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 170 / 170 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (- (/ 1 a) (/ 1 b)) (/ (/ PI 2) (- b a))) (+ a b))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 2) into (* -2 a) * [misc]backup-simplify: Simplify (/ (- PI) (* -2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 2)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI -2) (+ (* (* 1/2 (* b PI)) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* b PI)) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* b PI)) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* a PI)) -2) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 2) into (* -2 a) * [misc]backup-simplify: Simplify (/ (- PI) (* -2 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ PI a))) into (log (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/2 (/ PI a)))) into (- (log (* 1/2 (/ PI a))) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 (/ PI a))) (log b))) into (- (log (* 1/2 (/ PI a))) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 (/ PI a))) (log b))) into (exp (- (log (* 1/2 (/ PI a))) (log 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]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (exp (- (log (* 1/2 (/ PI a))) (log b))) a) into (/ (exp (- (log (* 1/2 (/ PI a))) (log b))) a) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ PI b))) into (log (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 (/ PI b)))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 (/ PI b))) (log a))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 (/ PI b))) (log a))) into (exp (- (log (* 1/2 (/ PI b))) (log 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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) into (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ PI b))) into (log (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 (/ PI b)))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 (/ PI b))) (log a))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 (/ PI b))) (log a))) into (exp (- (log (* 1/2 (/ PI b))) (log 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]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) into (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) in b * [misc]taylor: Taking taylor expansion of (exp (- (log (* 1/2 (/ PI b))) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ PI b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log (* 1/2 PI)) (log b)) (- (log a))) into (- (log (* 1/2 PI)) (+ (log b) (log a))) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) into (exp (- (log (* 1/2 PI)) (+ (log b) (log 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 (/ (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) 1) into (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 2)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ PI b)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 (/ PI b)))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log (* 1/2 (/ PI b))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 (/ PI b))) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) (/ 1 b)))) into (- (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (- (log (* 1/2 (/ PI b))) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ PI b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log (* 1/2 PI)) (log b)) (- (log a))) into (- (log (* 1/2 PI)) (+ (log b) (log a))) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) into (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) 1) into (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ (- 2) (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ PI b)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 (/ PI b)))) into (- (log (* 1/2 (/ PI b))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ PI b))) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 (/ PI b))) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) b) (/ 0 b)) (* (- (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 2))) (/ 1 b)))) into (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* 1/2 (/ PI b))) (log a))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (- (log (* 1/2 (/ PI b))) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ PI b))) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (- (log (* 1/2 PI)) (log b)) (- (log a))) into (- (log (* 1/2 PI)) (+ (log b) (log a))) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) into (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) 1) into (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* 1/2 PI)) (+ (log b) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 (* a PI)))) into (+ (log (* 1/2 (* a PI))) (log b)) * [misc]backup-simplify: Simplify (* 1 (+ (log (* 1/2 (* a PI))) (log b))) into (+ (log (* 1/2 (* a PI))) (log b)) * [misc]backup-simplify: Simplify (exp (+ (log (* 1/2 (* a PI))) (log b))) into (exp (+ (log (* 1/2 (* a PI))) (log b))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (+ (log (* 1/2 (* a PI))) (log b))) 1) into (exp (+ (log (* 1/2 (* a PI))) (log b))) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1 (+ (log a) (log (* 1/2 (* b PI))))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log (* 1/2 (* b PI))))) into (exp (+ (log a) (log (* 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) 1) into (exp (+ (log a) (log (* 1/2 (* b PI))))) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* PI b)) -2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1 (+ (log a) (log (* 1/2 (* b PI))))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log (* 1/2 (* b PI))))) into (exp (+ (log a) (log (* 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) 1) into (exp (+ (log a) (log (* 1/2 (* b PI))))) * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI -2) (+ (* (* 1/2 (* b PI)) (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (log a) (log (* 1/2 (* b PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (/ (/ 1 b) 1)))) into (- (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b)) * [misc]taylor: Taking taylor expansion of (- (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b)) in b * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b) in b * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 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 (/ (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) 1) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/2 (* b PI)) (/ 0 -2)) (* 0 (/ (* 2 (/ 1 b)) -2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (log a) (log (* 1/2 (* b PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (/ 0 1)) (* (- (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b)) (/ (/ 1 b) 1)))) into (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) 1) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (- (* a PI)) -2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 (* a PI)))) into (+ (log (* 1/2 (* a PI))) (log b)) * [misc]backup-simplify: Simplify (* 1 (+ (log (* 1/2 (* a PI))) (log b))) into (+ (log (* 1/2 (* a PI))) (log b)) * [misc]backup-simplify: Simplify (exp (+ (log (* 1/2 (* a PI))) (log b))) into (exp (+ (log (* 1/2 (* a PI))) (log b))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (exp (+ (log (* 1/2 (* a PI))) (log b))) -1) into (* -1 (exp (+ (log (* 1/2 (* a PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1 (+ (log a) (log (* 1/2 (* b PI))))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log (* 1/2 (* b PI))))) into (exp (+ (log a) (log (* 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) -1) into (* -1 (exp (+ (log a) (log (* 1/2 (* b PI)))))) * [misc]taylor: Taking taylor expansion of (/ (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1 (+ (log a) (log (* 1/2 (* b PI))))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log (* 1/2 (* b PI))))) into (exp (+ (log a) (log (* 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) -1) into (* -1 (exp (+ (log a) (log (* 1/2 (* b PI)))))) * [misc]taylor: Taking taylor expansion of (* -1 (exp (+ (log a) (log (* 1/2 (* b 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 (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (exp (+ (log a) (+ (log b) (log (* 1/2 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 (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (log a) (log (* 1/2 (* b PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (+ (log a) (log (* 1/2 (* b PI)))))) (/ (- (/ 1 b)) -1)))) into (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b) * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b) in b * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 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 (/ (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) 1) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (+ (log a) (+ (log b) (log (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* 0 (/ (- (* 2 (/ 1 b))) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 (* b PI)))) into (+ (log a) (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (log a) (log (* 1/2 (* b PI))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log (* 1/2 (* b PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (+ (log a) (log (* 1/2 (* b PI)))))) (/ 0 -1)) (* (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) b) (/ (- (/ 1 b)) -1)))) into (- (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (exp (+ (log a) (log (* 1/2 (* b PI))))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (log a) (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log a) (+ (log b) (log (* 1/2 PI)))) into (+ (log a) (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) 1) into (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (+ (log a) (+ (log b) (log (* 1/2 PI))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (exp (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2)))) 1) (+ a b))) * * * * [misc]progress: [ 29 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (* (- b a) 2) (* (- b a) 2)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))) 3)) 1) (+ a b))) * * * * [misc]progress: [ 32 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI a) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) 2) (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (- (/ (/ (/ PI a) 2) (- b a)) (/ (/ PI b) (* (- b a) 2))) 1) (+ a b))) * * * * [misc]progress: [ 37 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI a) (/ PI b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) (/ (cbrt (- (/ PI a) (/ PI b))) 2)) 1) (+ a b))) * * * * [misc]progress: [ 38 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (sqrt (- (/ PI a) (/ PI b))) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI a) (/ PI b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (sqrt (- (/ PI a) (/ PI b))) 2)) 1) (+ a b))) * * * * [misc]progress: [ 39 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) 1) (+ a b))) * * * * [misc]progress: [ 40 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2)) 1) (+ a b))) * * * * [misc]progress: [ 41 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (- (/ PI a) (/ PI b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) 2)) 1) (+ a b))) * * * * [misc]progress: [ 42 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) 1) (+ a b))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 2) a) (/ (/ 1 2) b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ PI (- b a)) (- (/ (/ 1 2) a) (/ (/ 1 2) b))) 1) (+ a b))) * * * * [misc]progress: [ 43 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (/ (* (- b a) 2) (cbrt (- (/ PI a) (/ PI b))))) 1) (+ a b))) * * * * [misc]progress: [ 48 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ PI a) (/ PI b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) (/ (* (- b a) 2) (sqrt (- (/ PI a) (/ PI b))))) 1) (+ a b))) * * * * [misc]progress: [ 49 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI a)) (sqrt (/ PI b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (* (- b a) 2) (- (sqrt (/ PI a)) (sqrt (/ PI b))))) 1) (+ a b))) * * * * [misc]progress: [ 51 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) (fma (+ b a) a (* b b))) 1) (+ a b))) * * * * [misc]progress: [ 54 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (/ (pow (* (/ (- (/ PI a) (/ PI b)) (* (- (* b b) (* a a)) 2)) (+ a b)) 1) (+ a b))) * * * * [misc]progress: [ 55 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI b) (* a PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* PI (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (* PI (- b a)) (* (* (- b a) 2) (* a b))) 1) (+ a b))) * * * * [misc]progress: [ 56 / 151 ] 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 (325 enodes) * [exit]simplify: Simplified to (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (fma (- (/ PI b)) (* (/ PI b) (/ PI b)) (pow (/ PI a) 3)) (* (* (- b a) 2) (+ (* (/ PI a) (/ PI a)) (+ (* (/ PI b) (/ PI b)) (* (/ PI a) (/ PI b)))))) 1) (+ a b))) * * * * [misc]progress: [ 57 / 151 ] 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 (83 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (+ (/ PI b) (/ PI a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (/ (pow (/ (* (+ (/ PI b) (/ PI a)) (- (/ PI a) (/ PI b))) (* (* (- b a) 2) (+ (/ PI a) (/ PI b)))) 1) (+ a b))) * * * * [misc]progress: [ 58 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) 1) (log (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- (/ PI a) (/ PI b))) (log (* (- b a) 2))) (log (+ a b))))) * * * * [misc]progress: [ 62 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (log (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))))) * * * * [misc]progress: [ 63 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (log (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))))) * * * * [misc]progress: [ 64 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (log (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (log (+ a b))))) * * * * [misc]progress: [ 65 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI a) (/ PI b)) (* (* (+ a b) (- b a)) 2)) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (* (+ a b) (- b a)) 2)) 3))) * * * * [misc]progress: [ 68 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))))) * * * * [misc]progress: [ 73 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))))) (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (+ a b)) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))))) * * * * [misc]progress: [ 74 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) 1) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)))) * * * * [misc]progress: [ 75 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))))) * * * * [misc]progress: [ 76 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))))) * * * * [misc]progress: [ 77 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)))) * * * * [misc]progress: [ 78 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (- (/ PI a) (/ PI b))))) (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (- (/ PI a) (/ PI b))))) (/ (cbrt (- (/ PI a) (/ PI b))) (* (cbrt (+ a b)) 2)))) * * * * [misc]progress: [ 79 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ a b)))) (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ PI a) (/ PI b))) (- b a)) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ a b)))) (/ (cbrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) 2)))) * * * * [misc]progress: [ 80 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI a) (/ PI b))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) (/ (cbrt (- (/ PI a) (/ PI b))) (* (+ a b) 2)))) * * * * [misc]progress: [ 81 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ a b)) 2)))) * * * * [misc]progress: [ 82 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) (- b a))) (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) (- b a))) (/ (sqrt (- (/ PI a) (/ PI b))) (* (sqrt (+ a b)) 2)))) * * * * [misc]progress: [ 83 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (sqrt (- (/ PI a) (/ PI b))) (* (+ a b) 2)))) * * * * [misc]progress: [ 84 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 85 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- b a)) (sqrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- b a)) (sqrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 86 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (- b a)) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)))) * * * * [misc]progress: [ 87 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (+ a b)) 2)))) * * * * [misc]progress: [ 88 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (sqrt (+ a b)) (- b a))) (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (sqrt (+ a b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (sqrt (+ a b)) (- b a))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (sqrt (+ a b)) 2)))) * * * * [misc]progress: [ 89 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (* (+ a b) 2)))) * * * * [misc]progress: [ 90 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ 1 (- b a)) (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 91 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- b a)) (sqrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- b a)) (sqrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 92 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ 1 (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (- b a)) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (- b a)) (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)))) * * * * [misc]progress: [ 93 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ PI (- b a)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ b a))) (* (cbrt (+ b a)) (- b a))) (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 2) a) (/ (/ 1 2) b)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (cbrt (+ b a))) (* (cbrt (+ b a)) (- b a))) (/ (- (/ (/ 1 2) a) (/ (/ 1 2) b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 94 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ PI (- b a)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- b a)) (sqrt (+ b a))) (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1 2) a) (/ (/ 1 2) b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- b a)) (sqrt (+ b a))) (/ (- (/ (/ 1 2) a) (/ (/ 1 2) b)) (sqrt (+ a b))))) * * * * [misc]progress: [ 95 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ PI (- b a)) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ PI (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (- b a)) (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (* (+ a b) 2)))) * * * * [misc]progress: [ 96 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 97 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 98 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))))) * * * * [misc]progress: [ 99 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (- (/ PI a) (/ PI b)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (pow (/ 1 (* (- b a) 2)) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ 1 (* (- b a) 2)) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (- b a)) 2) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 (- b a)) 2) (cbrt (+ b a))))) * * * * [misc]progress: [ 100 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (- (/ PI a) (/ PI b)) 1) (sqrt (+ a 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 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (pow (/ 1 (* (- b a) 2)) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ 1 (* (- b a) 2)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (- b a)) 2) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ (/ 1 (- b a)) 2) (sqrt (+ b a))))) * * * * [misc]progress: [ 101 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (- (/ PI a) (/ PI b)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (pow (/ 1 (* (- b a) 2)) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ 1 (* (- b a) 2)) 1) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* 2 (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 (- b a)) (* 2 (+ b a))))) * * * * [misc]progress: [ 102 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- (* (* 2 b) (* b b)) (* (* 2 a) (* a a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- (* (* 2 b) (* b b)) (* (* 2 a) (* a a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) a (* b b)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (fma (+ b a) a (* b b)) (cbrt (+ b a))))) * * * * [misc]progress: [ 103 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (- (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (- (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) a (* b b)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) (sqrt (+ a b))) (/ (fma (+ b a) a (* b b)) (sqrt (+ b a))))) * * * * [misc]progress: [ 104 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (370 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (- (* (* b b) (* 2 b)) (* (* 2 a) (* a a)))) (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (+ (* b b) (+ (* a a) (* b a))) 1) (+ a b)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) a (* b b)) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) 1) (/ (fma (+ b a) a (* b b)) (+ b a)))) * * * * [misc]progress: [ 105 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (* b b) (* a a)) 2)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) (cbrt (+ a b))) (* 2 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) (cbrt (+ a b))) (* 2 (cbrt (+ a b)))) (/ (pow (+ b a) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (+ b a) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) (cbrt (+ a b))) (* 2 (cbrt (+ a b)))) (/ (+ a b) (cbrt (+ a b))))) * * * * [misc]progress: [ 106 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (* b b) (* a a)) 2)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (* (sqrt (+ a b)) (- b a))) (/ (pow (+ b a) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (+ b a) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) 2)) (* (sqrt (+ a b)) (- b a))) (/ (+ a b) (sqrt (+ a b))))) * * * * [misc]progress: [ 107 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- (* b b) (* a a)) 2)) 1) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* (- b a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* (- b a) 2))) (/ (pow (+ b a) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (+ b a) 1) (+ a b)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* (- b a) 2))) (/ (+ a b) (+ a b)))) * * * * [misc]progress: [ 108 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))))) * * * * [misc]progress: [ 109 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))))) * * * * [misc]progress: [ 110 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)))) * * * * [misc]progress: [ 111 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (+ a b))))) * * * * [misc]progress: [ 112 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (sqrt (+ a b))))) * * * * [misc]progress: [ 113 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (+ a b)))) * * * * [misc]progress: [ 114 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 115 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 116 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)))) * [enter]simplify: Simplifying (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))))) * * * * [misc]progress: [ 117 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a)))) * * * * [misc]progress: [ 121 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (sqrt (+ a b))) (sqrt (+ b a)))) * * * * [misc]progress: [ 122 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) 1) (+ b a))) * * * * [misc]progress: [ 123 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) 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 (84 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1)))) * * * * [misc]progress: [ 124 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 (83 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) (* (- b a) 2))) 1)))) * * * * [misc]progress: [ 125 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (- b a)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI a) (/ PI b))) (/ (cbrt (- (/ PI a) (/ PI b))) (- b a))) (/ (+ a b) (pow (/ (cbrt (- (/ PI a) (/ PI b))) 2) 1)))) * * * * [misc]progress: [ 126 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (+ a b) (pow (/ (sqrt (- (/ PI a) (/ PI b))) 2) 1)))) * * * * [misc]progress: [ 127 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (- b a)) 1) * * [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 (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 128 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (- b a)) (/ (+ a b) (pow (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) 2) 1)))) * * * * [misc]progress: [ 129 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (- b a)) 1) * * [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 (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 130 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ PI (- b a)) 1) * * [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 (/ PI (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 131 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)))) * * * * [misc]progress: [ 132 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (/ PI a) (/ PI b)) 1) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI a) (/ PI b)) (/ (+ a b) (pow (/ 1 (* (- b a) 2)) 1)))) * * * * [misc]progress: [ 133 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ PI a) (/ PI b)) (* (- (pow b 3) (pow a 3)) 2)) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (- (* (* b b) (* 2 b)) (* (* a a) (* 2 a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI a) (/ PI b)) (- (* (* b b) (* 2 b)) (* (* a a) (* 2 a)))) (/ (+ a b) (pow (+ (* b b) (+ (* a a) (* b a))) 1)))) * * * * [misc]progress: [ 134 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ PI a) (/ PI b)) (* (- (* b b) (* a a)) 2)) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- (/ PI a) (/ PI b)) (* (+ a b) (- b a))) 2) (/ (+ a b) (pow (+ b a) 1)))) * * * * [misc]progress: [ 135 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 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 (84 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a))))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1))))) * * * * [misc]progress: [ 136 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 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 (83 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (- (/ PI a) (/ PI b)) (* 2 (- b a)))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1))))) * * * * [misc]progress: [ 137 / 151 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 139 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (- (* a a) (* b b))) (- a b))) * * * * [misc]progress: [ 140 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 141 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 142 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 143 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 144 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 145 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (/ (pow (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) 1) (+ a b))) * * * * [misc]progress: [ 146 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (/ (/ PI b) (/ a 1/2)) 1) (+ a b))) * * * * [misc]progress: [ 147 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (/ (/ PI b) (/ a 1/2)) 1) (+ a b))) * * * * [misc]progress: [ 148 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (pow (/ (/ PI b) (/ a 1/2)) 1) (+ a b))) * * * * [misc]progress: [ 149 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 150 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 151 / 151 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) 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 (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -1/2 PI)) (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log (* -1/2 PI)) (log b)))) into (/ a (exp (- (log (* -1/2 PI)) (log b)))) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 PI)) (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log (* 1/2 PI)) (log a)))) into (/ b (exp (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 PI)) (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log (* 1/2 PI)) (log a)))) into (/ b (exp (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (/ b (exp (- (log (* 1/2 PI)) (log 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 (exp (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ PI b)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 2) (+ (* (* 1/2 PI) (/ 0 2)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1)) (pow (* 1/2 PI) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into (* -1 (/ (exp (- (log (* 1/2 PI)) (log a))) b)) * [misc]backup-simplify: Simplify (- (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (+ (* (/ b (exp (- (log (* 1/2 PI)) (log a)))) (/ (* -1 (/ (exp (- (log (* 1/2 PI)) (log a))) b)) (exp (- (log (* 1/2 PI)) (log a))))))) into (* 2 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (exp (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))) into (/ 2 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (/ 2 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 2 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (* 1/2 PI)) (log a)))) (+ (* (/ b (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* (* 2 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))) (/ (* -1 (/ (exp (- (log (* 1/2 PI)) (log a))) b)) (exp (- (log (* 1/2 PI)) (log a))))))) into (* 2 (/ 1 (* b (exp (- (log (* 1/2 PI)) (log a)))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* b (exp (- (log (* 1/2 PI)) (log a)))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* b (exp (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of (* b (exp (- (log (* 1/2 PI)) (log 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 (exp (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (* 0 (exp (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (- (log (* 1/2 PI)) (log a))))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (exp (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (exp (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (* 1/2 PI)) (log a)))) (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* (- (* 1/2 (/ PI b))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (* 1/2 PI)) (log a)))) (+ (* (/ b (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* (* 2 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* (* 2 (/ 1 (* b (exp (- (log (* 1/2 PI)) (log a)))))) (/ (* -1 (/ (exp (- (log (* 1/2 PI)) (log a))) b)) (exp (- (log (* 1/2 PI)) (log a))))))) into (* 2 (/ 1 (* (pow b 2) (exp (- (log (* 1/2 PI)) (log a)))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 2) (exp (- (log (* 1/2 PI)) (log a)))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 2) (exp (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 2) (exp (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of (exp (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (* 1 (exp (- (log (* 1/2 PI)) (log a)))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) into (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (exp (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (exp (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* 0 (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* 0 (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 1/2 PI)) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (/ 0 (exp (- (log (* 1/2 PI)) (log a))))) (* 0 (/ 0 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (- (log (* 1/2 PI)) (log a)))) (* b 1)) (* (/ 2 (exp (- (log (* 1/2 PI)) (log a)))) (* 1 a))) into (+ (/ b (exp (- (log (* 1/2 PI)) (log a)))) (* 2 (/ a (exp (- (log (* 1/2 PI)) (log a)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* a PI)))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* a PI)))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* b PI))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* b PI)))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* b PI)))) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* b PI))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* b PI)))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* b PI)))) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ -2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 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 (+ PI 0) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (* -1/2 (* b PI)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (log (* -1/2 (* b PI))))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) (* -1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ (* 1/2 PI) (* -1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (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 (/ 1 (* (pow b 2) PI)) in b * [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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (* -1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 (* b PI)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* -1/2 (* b PI)))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ 0 (* -1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) (/ (* 1/2 PI) (* -1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 3) 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 (/ 1 (* (pow b 3) PI)) in b * [misc]taylor: Taking taylor expansion of (* (pow b 3) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 3) 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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 PI)) 3)) (pow (* -1/2 (* b PI)) 3))) (* -3 (/ (* (pow (* 1 (* 1/2 PI)) 1) (pow (* 2 0) 1)) (pow (* -1/2 (* b PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1/2 (* b PI)) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* -1/2 (* b PI))))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ 0 (* -1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) (/ 0 (* -1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) (/ (* 1/2 PI) (* -1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 4) 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 (/ 1 (* (pow b 4) PI)) in b * [misc]taylor: Taking taylor expansion of (* (pow b 4) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 4) 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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -2 PI) (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) into (* -2 (/ (* a b) PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* a PI))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* a PI)))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* a PI)))) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* b PI)))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* b PI)))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* b PI)))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* b PI)))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ -2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) 0) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* b PI)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (log (* 1/2 (* b PI))))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ (* -1/2 PI) (* 1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (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 (/ 1 (* (pow b 2) PI)) in b * [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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* b PI)))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ 0 (* 1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) (/ (* -1/2 PI) (* 1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 3) 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 (/ 1 (* (pow b 3) PI)) in b * [misc]taylor: Taking taylor expansion of (* (pow b 3) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 3) 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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 PI))) 3)) (pow (* 1/2 (* b PI)) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 PI))) 1) (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* b PI))))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 (* b PI)))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (* b PI))) (+ (* (/ -2 (* PI b)) (/ 0 (* 1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 2)))) (* 2 (/ 1 (* (pow b 2) PI))))) (/ 0 (* 1/2 (* b PI)))) (* (- (+ (* 2 (/ 1 (* PI (pow b 3)))) (* 2 (/ 1 (* (pow b 3) PI))))) (/ (* -1/2 PI) (* 1/2 (* b PI)))))) into (- (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow b 4) PI))) (* 2 (/ 1 (* PI (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 4) 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 (/ 1 (* (pow b 4) PI)) in b * [misc]taylor: Taking taylor expansion of (* (pow b 4) PI) in b * [misc]taylor: Taking taylor expansion of (pow b 4) 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 PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (* PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -2 PI) (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) into (* -2 (/ (* a b) PI)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ PI 0) into PI * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log (* 1/2 PI)) (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (exp (- (log (* 1/2 PI)) (log a))) into (exp (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log (* 1/2 PI)) (log a)))) into (/ b (exp (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (/ (/ 1 b) (/ b (exp (- (log (* 1/2 PI)) (log a))))) into (/ (exp (- (log (* 1/2 PI)) (log a))) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) 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 (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -1/2 PI)) (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log (* -1/2 PI)) (log b)))) into (/ a (exp (- (log (* -1/2 PI)) (log b)))) * [misc]backup-simplify: Simplify (/ (/ -1 a) (/ a (exp (- (log (* -1/2 PI)) (log b))))) into (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) 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 (pow (/ (- (/ PI a) (/ PI b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI a) (/ PI b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI a) (/ PI b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI a) (/ PI b)) 2)) 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 1) 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 (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log (* -1/2 PI)) (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log (* -1/2 PI)) (log b)))) into (/ a (exp (- (log (* -1/2 PI)) (log b)))) * [misc]backup-simplify: Simplify (/ (/ -1 a) (/ a (exp (- (log (* -1/2 PI)) (log b))))) into (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (- (log (* -1/2 PI)) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log (* -1/2 PI)) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (* -1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (* -1/2 PI)) (- (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (- (log (* -1/2 PI)) (log b))) 1) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (- (log (* -1/2 PI)) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 1 (- a))))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ PI a) 0) into (/ PI a) * [misc]backup-simplify: Simplify (- (/ (/ PI a) 2) (+ (* (* -1/2 PI) (/ 0 2)))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 1)) (pow (* -1/2 PI) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (- (log (* -1/2 PI)) (log b)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) a)) * [misc]backup-simplify: Simplify (- (/ 1 (exp (- (log (* -1/2 PI)) (log b)))) (+ (* (/ a (exp (- (log (* -1/2 PI)) (log b)))) (/ (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) a)) (exp (- (log (* -1/2 PI)) (log b))))))) into (* 2 (/ 1 (exp (- (log (* -1/2 PI)) (log b))))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (pow a 2))) (/ a (exp (- (log (* -1/2 PI)) (log b))))) (+ (* (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2))) (/ (* 2 (/ 1 (exp (- (log (* -1/2 PI)) (log b))))) (/ a (exp (- (log (* -1/2 PI)) (log b)))))))) into (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 3)) * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (- (log (* -1/2 PI)) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log (* -1/2 PI)) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (* -1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (* -1/2 PI)) (- (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (- (log (* -1/2 PI)) (log b))) 1) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log (* -1/2 PI)) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* (- (/ 1 (pow a 2))) (/ 1 (- a))))) into (- (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 PI) (/ 0 2)) (* (* 1/2 (/ PI a)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 2)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 PI) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log (* -1/2 PI)) (log b))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log (* -1/2 PI)) (log b)))) (+ (* (/ a (exp (- (log (* -1/2 PI)) (log b)))) (/ 0 (exp (- (log (* -1/2 PI)) (log b))))) (* (* 2 (/ 1 (exp (- (log (* -1/2 PI)) (log b))))) (/ (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) a)) (exp (- (log (* -1/2 PI)) (log b))))))) into (* 2 (/ 1 (* a (exp (- (log (* -1/2 PI)) (log b)))))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (pow a 3))) (/ a (exp (- (log (* -1/2 PI)) (log b))))) (+ (* (* -1 (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 2))) (/ (* 2 (/ 1 (* a (exp (- (log (* -1/2 PI)) (log b)))))) (/ a (exp (- (log (* -1/2 PI)) (log b)))))) (* (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 3)) (/ (* 2 (/ 1 (exp (- (log (* -1/2 PI)) (log b))))) (/ a (exp (- (log (* -1/2 PI)) (log b)))))))) into (- (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 4))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (* -1/2 PI)) (log b))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (exp (- (log (* -1/2 PI)) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log (* -1/2 PI)) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (* -1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (* -1/2 PI)) (- (log b))) into (- (log (* -1/2 PI)) (log b)) * [misc]backup-simplify: Simplify (exp (- (log (* -1/2 PI)) (log b))) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ (exp (- (log (* -1/2 PI)) (log b))) 1) into (exp (- (log (* -1/2 PI)) (log b))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1/2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1/2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1/2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1/2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1/2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1/2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1/2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1/2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -1/2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -1/2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -1/2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -1/2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -1/2 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -1/2 PI)) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (* -1/2 PI)) (log b))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log (* -1/2 PI)) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* b PI)) into (- (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) * [misc]backup-simplify: Simplify (/ (- (* PI b)) 2) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* b PI))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* b PI)))) into (log (* -1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* b PI)))) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]backup-simplify: Simplify (/ -1 (/ -2 (* PI b))) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* a PI)))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* a PI)))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2)) 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 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* a PI) 0) into (* a PI) * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* a PI)))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* a PI)))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 a)) 1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* a PI) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (+ 0 (- PI)) into (- PI) * [misc]backup-simplify: Simplify (- (/ (- PI) 2) (+ (* (* 1/2 (* a PI)) (/ 0 2)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* a PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (log (* 1/2 (* a PI))))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 (* a PI)))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (* 1/2 (* a PI))) (+ (* (/ 2 (* a PI)) (/ (* -1/2 PI) (* 1/2 (* a PI)))))) into (* 4 (/ 1 (* (pow a 2) PI))) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 2 (* a PI))) (+ (* (* 1/2 (* a PI)) (/ (* 4 (/ 1 (* (pow a 2) PI))) (/ 2 (* a PI)))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ (- (/ 1 a)) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* a PI) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* a PI)) (/ 0 2)) (* (- (* 1/2 PI)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* a PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* a PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* 1/2 (* a PI)))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 (* a PI)))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 (* a PI))) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 (* a PI)))) (* (* 4 (/ 1 (* (pow a 2) PI))) (/ (* -1/2 PI) (* 1/2 (* a PI)))))) into (* 4 (/ 1 (* (pow a 3) PI))) * [misc]backup-simplify: Simplify (- (/ (/ 1 (pow a 2)) (/ 2 (* a PI))) (+ (* (* 1/2 (* a PI)) (/ (* 4 (/ 1 (* (pow a 3) PI))) (/ 2 (* a PI)))) (* (- (* 1/2 PI)) (/ (* 4 (/ 1 (* (pow a 2) PI))) (/ 2 (* a PI)))))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 (* b PI))) into (* b PI) * [misc]backup-simplify: Simplify (+ 0 (* b PI)) into (* b PI) * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 (* b PI)))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (exp (log (* 1/2 (* b PI)))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 (* b PI))) into (/ -2 (* PI b)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* PI b))) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* a PI))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* a PI)))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* a PI)))) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ -1 (/ 2 (* a PI))) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2)) 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 (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 (* a PI)) 0) into (- (* a PI)) * [misc]backup-simplify: Simplify (/ (- (* a PI)) 2) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* -1/2 (* a PI))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 (* a PI)))) into (log (* -1/2 (* a PI))) * [misc]backup-simplify: Simplify (exp (log (* -1/2 (* a PI)))) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 (* a PI))) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ -1 (/ 2 (* a PI))) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (/ 1 a) -1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 a) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* -1 (* a PI)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (* -1 PI)) into PI * [misc]backup-simplify: Simplify (+ 0 PI) into PI * [misc]backup-simplify: Simplify (- (/ PI 2) (+ (* (* -1/2 (* a PI)) (/ 0 2)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (* -1/2 (* a PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (log (* -1/2 (* a PI))))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 (* a PI)))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (* -1/2 (* a PI))) (+ (* (/ 2 (* a PI)) (/ (* 1/2 PI) (* -1/2 (* a PI)))))) into (* 4 (/ 1 (* (pow a 2) PI))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 2 (* a PI))) (+ (* (* -1/2 (* a PI)) (/ (* 4 (/ 1 (* (pow a 2) PI))) (/ 2 (* a PI)))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (/ 1 a)) (/ (/ 1 a) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* -1 (* a PI)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* a PI)) (/ 0 2)) (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (* -1/2 (* a PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 (* a PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* -1/2 (* a PI)))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 (* a PI)))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 (* a PI))) (+ (* (/ 2 (* a PI)) (/ 0 (* -1/2 (* a PI)))) (* (* 4 (/ 1 (* (pow a 2) PI))) (/ (* 1/2 PI) (* -1/2 (* a PI)))))) into (* 4 (/ 1 (* (pow a 3) PI))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (pow a 2))) (/ 2 (* a PI))) (+ (* (* -1/2 (* a PI)) (/ (* 4 (/ 1 (* (pow a 3) PI))) (/ 2 (* a PI)))) (* (* 1/2 PI) (/ (* 4 (/ 1 (* (pow a 2) PI))) (/ 2 (* a PI)))))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (+ (log (+ b a)) (log 2)) (log (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (exp (- (+ (log (+ b a)) (log 2)) (log (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 5 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (+ (log (+ b a)) (log 2)) (log (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (exp (- (+ (log (+ b a)) (log 2)) (log (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 6 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (log (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (log (+ b a)) (log (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (exp (- (log (+ b a)) (log (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 7 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (pow (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (cbrt (pow (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))) 3)))) * * * * [misc]progress: [ 10 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 15 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 16 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 17 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (cbrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (cbrt (+ b a)) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (* (cbrt (+ b a)) 2)))) * * * * [misc]progress: [ 18 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 19 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 20 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 21 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 22 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 23 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow 1 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 24 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))) (* (sqrt (+ b a)) 2)))) * * * * [misc]progress: [ 25 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 26 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 27 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 28 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [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 (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 29 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [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 (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 30 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* 1 (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* 1 (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 31 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (- (/ PI a) (/ PI b)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ 1 (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (- (/ PI a) (/ PI b))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* 2 (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (- (/ PI a) (/ PI b))) (* 2 (+ b a))))) * * * * [misc]progress: [ 32 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 33 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* (/ 1 (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2)))))) * * * * [misc]progress: [ 34 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (* 1 (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (* 1 (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 35 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cbrt (/ (- (/ 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 (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 a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 39 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (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 (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 a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 40 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ (/ PI 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (pow 1 1)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 41 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 2) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (pow (- (/ PI a) (/ PI b)) 1)) (/ 1 2)))) * * * * [misc]progress: [ 42 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- (/ 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 (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 a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 43 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ (- (/ 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 (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 a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 44 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ (/ PI 2) b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (/ (+ a b) 1) (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 45 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a b)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (cbrt (+ a b)))))) * * * * [misc]progress: [ 46 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (sqrt (+ b a)) (/ (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (sqrt (+ a b)))))) * * * * [misc]progress: [ 47 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 3) (pow b 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fma b (* b b) (pow a 3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (fma b (* b b) (pow a 3)) (* (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (+ (* a a) (- (* b b) (* a b))))))) * * * * [misc]progress: [ 49 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* a a) (* b b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (- (* a a) (* b b)) (* (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (- a b))))) * * * * [misc]progress: [ 50 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- b a))) (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ a b)))))) * * * * [misc]progress: [ 78 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- b a))) (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ a b)))))) * * * * [misc]progress: [ 79 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- b a))) (- (log (+ a b)) (log (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 80 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- b a))) (log (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (- (- (log (- b a))) (log (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- b a))) (log (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 81 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- b a))) (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ PI a) (/ PI b)) 2)) (- (- (log (+ b a))) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ PI a) (/ PI b)) 2)) (- (- (log (+ b a))) (log (- b a)))))) * * * * [misc]progress: [ 82 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- b a))) (- (log (+ a b)) (* (log (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ PI a) (/ PI b)) 2)) (- (- (log (+ b a))) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ PI a) (/ PI b)) 2)) (- (- (log (+ b a))) (log (- b a)))))) * * * * [misc]progress: [ 83 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- b a))) (- (log (+ a b)) (log (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (- (/ PI a) (/ PI b)) 2)) (+ (log (- b a)) (log (+ b a)))))) * * * * [misc]progress: [ 84 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- b a))) (log (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (- (- (log (- b a))) (log (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (- b a))) (log (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 85 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (- b a)) (/ 1 (- b a))) (/ 1 (- b a))) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (pow (/ (- (/ PI a) (/ PI b)) 2) 1) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ 1 (- b a)) 3) (/ (* (+ b a) 2) (- (/ PI a) (/ PI b)))) (* (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))) (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (/ (pow (/ 1 (- b a)) 3) (/ (* (+ b a) 2) (- (/ PI a) (/ PI b)))) (* (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))) (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 88 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 1 (- b a)) (/ 1 (- b a))) (/ 1 (- b a))) (* (* (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (pow (* (/ (- (/ PI a) (/ PI b)) 2) (/ (/ 1 (- b a)) (+ b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (- (/ PI a) (/ PI b)) 2) (/ (/ 1 (- b a)) (+ b a))) 3))) * * * * [misc]progress: [ 89 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (cbrt (/ 1 (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (cbrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 94 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 95 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 96 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 97 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (cbrt (+ b a))))) * * * * [misc]progress: [ 98 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (462 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (- (/ PI a) (/ PI b)) (cbrt (/ 1 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (- (/ PI a) (/ PI b)) (cbrt (/ 1 (- b a))))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- b a))) (* 2 (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (- (/ PI a) (/ PI b)) (cbrt (/ 1 (- b a))))) (/ (cbrt (/ 1 (- b a))) (* 2 (cbrt (+ b a)))))) * * * * [misc]progress: [ 99 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 100 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 101 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a))) (/ (cbrt (/ 1 (- b a))) (cbrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (cbrt (+ b a))))) * * * * [misc]progress: [ 102 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 103 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 104 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (sqrt (+ b a))))) * * * * [misc]progress: [ 105 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- b a))) (* 2 (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b))))) (/ (cbrt (/ 1 (- b a))) (* 2 (sqrt (+ b a)))))) * * * * [misc]progress: [ 106 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (cbrt (/ 1 (- b a))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (cbrt (/ 1 (- b a))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (cbrt (/ 1 (- b a))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 107 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 108 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (/ (cbrt (/ 1 (- b a))) (sqrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (cbrt (/ 1 (- b a)))) (sqrt (+ b a))))) * * * * [misc]progress: [ 109 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 110 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 111 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 112 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (- (/ PI a) (/ PI b))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- b a))) (* 2 (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (- (/ PI a) (/ PI b))) (/ (cbrt (/ 1 (- b a))) (* 2 (+ b a))))) * * * * [misc]progress: [ 113 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ 1 (- b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 114 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 115 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 116 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (cbrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 117 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (+ b a)) (/ (cbrt (/ 1 (- b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (+ a b)) (* (cbrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) 2)))) * * * * [misc]progress: [ 118 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (sqrt (/ 1 (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (sqrt (/ 1 (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 119 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (sqrt (/ 1 (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (sqrt (/ 1 (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 120 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 121 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 122 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (cbrt (+ b a))))) * * * * [misc]progress: [ 123 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (sqrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (cbrt (+ b a))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (* 2 (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (sqrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (cbrt (+ b a))) (/ (sqrt (/ 1 (- b a))) (* 2 (cbrt (+ b a)))))) * * * * [misc]progress: [ 124 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 125 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (sqrt (/ 1 (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 126 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (cbrt (+ b a))))) * * * * [misc]progress: [ 127 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 128 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 129 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (sqrt (+ b a))))) * * * * [misc]progress: [ 130 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (* 2 (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) (/ (sqrt (/ 1 (- b a))) (* 2 (sqrt (+ b a)))))) * * * * [misc]progress: [ 131 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 132 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 133 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) 1)) * * [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 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (sqrt (+ b a))) (/ (* (/ (- (/ PI a) (/ PI b)) 2) (sqrt (/ 1 (- b a)))) (sqrt (+ b a))))) * * * * [misc]progress: [ 134 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 135 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 136 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ 1 (- b a))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ 1 (- b a))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 137 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- b a))) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ 1 (- b a))) (- (/ PI a) (/ PI b))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (* 2 (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ 1 (- b a))) (- (/ PI a) (/ PI b))) (/ (sqrt (/ 1 (- b a))) (* 2 (+ b a))))) * * * * [misc]progress: [ 138 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a))))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 139 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (/ 1 (- b a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ 1 (- b a))) (+ b a))))) * * * * [misc]progress: [ 140 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ 1 (- b a))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ 1 (- b a))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 141 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ 1 (- b a))) (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ 1 (- b a))) (* (/ (- (/ PI a) (/ PI b)) (* 2 (+ b a))) (sqrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 142 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- b a))) (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (+ b a)) (/ (sqrt (/ 1 (- b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ 1 (- b a))) (+ a b)) (* (sqrt (/ 1 (- b a))) (/ (- (/ PI a) (/ PI b)) 2)))) * * * * [misc]progress: [ 143 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) (/ (/ 1 (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 144 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) (/ (/ 1 (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 145 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 146 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [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 (62 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 147 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))))) * * * * [misc]progress: [ 148 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 149 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 150 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [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 (72 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 151 / 290 ] 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 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))))) * * * * [misc]progress: [ 152 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 153 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 154 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))))) * * * * [misc]progress: [ 155 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 156 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 157 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 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 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 158 / 290 ] 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 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))))) * * * * [misc]progress: [ 159 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 160 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 161 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 162 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 163 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 164 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 165 / 290 ] 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 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 166 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 167 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 168 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b)))))) (/ (/ 1 (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 169 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (/ (* 2 (+ a b)) (- (/ PI a) (/ PI b))))) (/ (/ 1 (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 170 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 171 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [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 (62 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 172 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))))) * * * * [misc]progress: [ 173 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 174 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 175 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [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 (72 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 176 / 290 ] 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 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (cbrt (+ b a))))) * * * * [misc]progress: [ 177 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 178 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 179 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))))) * * * * [misc]progress: [ 180 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 181 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ a b))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 182 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 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 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ a b))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 183 / 290 ] 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 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) (sqrt (+ b a))))) * * * * [misc]progress: [ 184 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 185 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 186 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 187 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 188 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 189 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 190 / 290 ] 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 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 191 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) 2))) * * * * [misc]progress: [ 192 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI a) (/ PI b)) (* (- b a) 2)))) * * * * [misc]progress: [ 193 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (fma a (+ b a) (* b b)) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 194 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (pow b 3) (pow a 3))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (/ (fma a (+ b a) (* b b)) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 195 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 196 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 197 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 198 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [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 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) 2))) * * * * [misc]progress: [ 199 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 200 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (* (cbrt (+ b a)) (fma (- a) (* a a) (pow b 3))))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 201 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ b a))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 202 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 203 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 204 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 205 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [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 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (/ (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) 2))) * * * * [misc]progress: [ 206 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 207 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (fma (* a a) (- a) (pow b 3)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 208 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) 1)) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 209 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) (cbrt (/ (- (/ PI a) (/ PI b)) 2)))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 210 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 211 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 212 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) b (* a a)) (* 2 (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (/ (fma (+ b a) b (* a a)) (* 2 (+ b a))))) * * * * [misc]progress: [ 213 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 214 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 215 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 216 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (pow b 3) (pow a 3))) 1) (/ (/ (fma a (+ b a) (* b b)) 2) (/ (+ b a) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 217 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (pow b 3) (pow a 3))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (* (- (/ PI a) (/ PI b)) (fma (+ b a) a (* b b))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (pow b 3) (pow a 3))) (+ a b)) (/ (* (- (/ PI a) (/ PI b)) (fma (+ b a) a (* b b))) 2))) * * * * [misc]progress: [ 218 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (+ b a) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) (/ (+ a b) (cbrt (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 219 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (+ b a) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) (/ (+ a b) (sqrt (/ (* (+ a b) 2) (- (/ PI a) (/ PI b))))))) * * * * [misc]progress: [ 220 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (+ b a) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (+ b a) (- b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (+ b a) (- b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))))) * * * * [misc]progress: [ 221 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))))) * * * * [misc]progress: [ 222 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (/ (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (/ (+ a b) 2)))) * * * * [misc]progress: [ 223 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (- (* b b) (* a a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (+ a b) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 224 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))))) * * * * [misc]progress: [ 225 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (* (- b a) (+ b a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (cbrt (+ a b)))))) * * * * [misc]progress: [ 226 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (* (+ b a) (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ b a))) (* (* (+ b a) (- b a)) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (/ (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ b a))) (* (* (+ b a) (- b a)) (cbrt (+ b a)))) (* (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (/ (+ a b) 2)))) * * * * [misc]progress: [ 227 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (sqrt (+ b a)) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (sqrt (+ b a)) (* (- b a) (+ b a)))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (sqrt (+ b a)) (* (- b a) (+ b a)))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))))) * * * * [misc]progress: [ 228 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))))) * * * * [misc]progress: [ 229 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ b a))) (* (+ b a) (- b a))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ b a))) (* (+ b a) (- b a))) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (+ a b) 2)))) * * * * [misc]progress: [ 230 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) (sqrt (+ b a)))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) (sqrt (+ b a)))) (/ (/ (+ a b) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 231 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (* (- b a) (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (* (- b a) (+ b a))))) (/ (+ b a) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (* (- b a) (+ b a))))) (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))))) * * * * [misc]progress: [ 232 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) (/ (+ b a) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (sqrt (+ b a)) (- (* b b) (* a a)))) (* (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (/ (+ a b) (sqrt (+ a b)))))) * * * * [misc]progress: [ 233 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (+ b a))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (+ a b) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- b a)) (* (sqrt (+ b a)) (+ b a))) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (+ a b) 2)))) * * * * [misc]progress: [ 234 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (- (* b b) (* a a))) (/ (+ b a) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (- (* b b) (* a a))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 235 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) (/ (+ b a) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 236 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (pow 1 1))) * * [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 (96 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (- b a)) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (+ b a)) (- b a)) (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 237 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (+ b a) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 2))) * * * * [misc]progress: [ 238 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (/ (+ b a) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (- (* b b) (* a a))) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 239 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) (/ (+ b a) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (+ b a) (- b a))) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 240 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ 1 (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (- b a) (+ b a))) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (- b a) (+ b a))) (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 241 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (- b a)) (+ b a)) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- b a)) (+ b a)) (/ (- (/ PI a) (/ PI b)) 2))) * * * * [misc]progress: [ 242 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (* b b) (* a a))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ b a)) (* (- b a) (+ b a))) (/ (+ b a) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ 1 (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (/ 2 (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- (* b b) (* a a))) (+ a b)) (/ (- (/ PI a) (/ PI b)) (/ 2 (+ a b))))) * * * * [misc]progress: [ 243 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 245 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (* (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) (cbrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 247 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (sqrt (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 248 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 249 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 250 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 251 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ PI a) (/ PI b)) 1))) (* (cbrt (+ b a)) 2))) * * * * [misc]progress: [ 252 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 253 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (/ (cbrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 254 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (* 2 (/ (cbrt (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 255 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 256 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 257 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow 1 1))) (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 258 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (- (/ PI a) (/ PI b)) 1))) (* (sqrt (+ b a)) 2))) * * * * [misc]progress: [ 259 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 260 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (/ (sqrt (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 261 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) 1)) (* 2 (/ (sqrt (+ b a)) (- (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 262 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (cbrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [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 (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (pow (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1))) (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 263 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1)) * * [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 (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (pow (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1))) (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 264 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (pow 1 1))) (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * * * * [misc]progress: [ 265 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* 2 (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (pow (- (/ PI a) (/ PI b)) 1))) (* 2 (+ b a)))) * * * * [misc]progress: [ 266 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (* (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))))) (/ (+ b a) (cbrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 267 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1))) * * [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 (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 (sqrt (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) (/ (+ b a) (sqrt (/ (- (/ PI a) (/ PI b)) 2))))) * * * * [misc]progress: [ 268 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (/ 1 1)) (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * * * * [misc]progress: [ 269 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) 1) (/ (* 2 (+ b a)) (- (/ PI a) (/ PI b))))) * * * * [misc]progress: [ 270 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (/ (- (/ 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 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ PI a) (/ PI b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ 1 (- b a)) (+ a b)) (/ 2 (- (/ PI a) (/ PI b))))) * * * * [misc]progress: [ 271 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ 1 (- b a))) (cbrt (/ 1 (- b a)))) (/ (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (cbrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 272 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- 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 (sqrt (/ 1 (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ 1 (- b a))) (/ (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (sqrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 273 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 274 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 275 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (fma (* a a) (- a) (pow b 3))) (/ (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (+ (* b b) (+ (* a a) (* b a)))))) * * * * [misc]progress: [ 276 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (+ b a)) (- b a)) (/ (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)) (+ b a)))) * * * * [misc]progress: [ 277 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ PI a) (/ PI b)) 2) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ (/ PI 2) b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (- b a)) (+ a b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 278 / 290 ] simplifiying candidate # * * * * [misc]progress: [ 279 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ b (exp (- (log (* 1/2 PI)) (log a)))) (* 2 (/ a (exp (- (log (* 1/2 PI)) (log a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (fma (/ (* a 2) 1/2) (/ a PI) (* (/ a PI) (/ b 1/2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ 1 (- b a)) (fma (/ (* a 2) 1/2) (/ a PI) (* (/ a PI) (/ b 1/2))))) * * * * [misc]progress: [ 280 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (/ (* a b) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (* -2 b) (/ PI a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (* -2 b) (/ PI a)))) * * * * [misc]progress: [ 281 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (/ (* a b) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (* -2 b) (/ PI a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (* -2 b) (/ PI a)))) * * * * [misc]progress: [ 282 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 283 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 284 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 285 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 286 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 287 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ PI a) (/ PI b)) 2) 1)))) * * * * [misc]progress: [ 288 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 289 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 290 / 290 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1/2)) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log -1/2) (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log -1/2) (log b)))) into (/ a (exp (- (log -1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log 1/2) (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log 1/2) (log a)))) into (/ b (exp (- (log 1/2) (log a)))) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log 1/2) (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log 1/2) (log a)))) into (/ b (exp (- (log 1/2) (log a)))) * [misc]taylor: Taking taylor expansion of (/ b (exp (- (log 1/2) (log 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 (exp (- (log 1/2) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log a)) in b * [misc]taylor: Taking taylor expansion of (log 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log 1/2) (log a)))) into (/ 1 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) 2) (+ (* 1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 b)))) 1)) (pow 1/2 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (- (log 1/2) (log a)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into (* -1 (/ (exp (- (log 1/2) (log a))) b)) * [misc]backup-simplify: Simplify (- (/ 1 (exp (- (log 1/2) (log a)))) (+ (* (/ b (exp (- (log 1/2) (log a)))) (/ (* -1 (/ (exp (- (log 1/2) (log a))) b)) (exp (- (log 1/2) (log a))))))) into (* 2 (/ 1 (exp (- (log 1/2) (log a))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (exp (- (log 1/2) (log a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (- (log 1/2) (log a)))) in b * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log a)) in b * [misc]taylor: Taking taylor expansion of (log 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log 1/2) (log a)))) into (/ 1 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (exp (- (log 1/2) (log a))))) into (/ 2 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (/ 2 (exp (- (log 1/2) (log a)))) into (/ 2 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log 1/2) (log a)))) into (/ 1 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 b))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 b)))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log 1/2) (log a))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log 1/2) (log a)))) (+ (* (/ b (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))) (* (* 2 (/ 1 (exp (- (log 1/2) (log a))))) (/ (* -1 (/ (exp (- (log 1/2) (log a))) b)) (exp (- (log 1/2) (log a))))))) into (* 2 (/ 1 (* (exp (- (log 1/2) (log a))) b))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (exp (- (log 1/2) (log a))) b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (exp (- (log 1/2) (log a))) b)) in b * [misc]taylor: Taking taylor expansion of (* (exp (- (log 1/2) (log a))) b) in b * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log a)) in b * [misc]taylor: Taking taylor expansion of (log 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log 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 (* (exp (- (log 1/2) (log a))) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (log a))) 1) (* 0 0)) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log 1/2) (log a)))) into (/ 1 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (log a))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (exp (- (log 1/2) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (exp (- (log 1/2) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log 1/2) (log a)))) (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 b))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ 1 b)))) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ 1 b)))) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log 1/2) (log a)))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log 1/2) (log a)))) (+ (* (/ b (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))) (* (* 2 (/ 1 (exp (- (log 1/2) (log a))))) (/ 0 (exp (- (log 1/2) (log a))))) (* (* 2 (/ 1 (* (exp (- (log 1/2) (log a))) b))) (/ (* -1 (/ (exp (- (log 1/2) (log a))) b)) (exp (- (log 1/2) (log a))))))) into (* 2 (/ 1 (* (pow b 2) (exp (- (log 1/2) (log a)))))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow b 2) (exp (- (log 1/2) (log a)))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow b 2) (exp (- (log 1/2) (log a))))) in b * [misc]taylor: Taking taylor expansion of (* (pow b 2) (exp (- (log 1/2) (log a)))) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of (exp (- (log 1/2) (log a))) in b * [misc]taylor: Taking taylor expansion of (- (log 1/2) (log a)) in b * [misc]taylor: Taking taylor expansion of (log 1/2) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log 1/2) (- (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (* 1 (exp (- (log 1/2) (log a)))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (/ 1 (exp (- (log 1/2) (log a)))) into (/ 1 (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (exp (- (log 1/2) (log a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (exp (- (log 1/2) (log a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))) (* 0 (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/2) (log a))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))) (* 0 (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log 1/2) (log a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (/ 0 (exp (- (log 1/2) (log a))))) (* 0 (/ 0 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (exp (- (log 1/2) (log a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (- (log 1/2) (log a)))) (* b 1)) (* (/ 2 (exp (- (log 1/2) (log a)))) (* 1 a))) into (+ (* 2 (/ a (exp (- (log 1/2) (log a))))) (/ b (exp (- (log 1/2) (log a))))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]backup-simplify: Simplify (log (* 1/2 a)) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 a))) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 a))) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 a)) into (/ 2 a) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]backup-simplify: Simplify (log (* -1/2 b)) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 b))) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 b))) into (* -1/2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]backup-simplify: Simplify (log (* -1/2 b)) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 b))) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 b))) into (* -1/2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ -2 b) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 b) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* -1/2 b) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (log (* -1/2 b)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ (/ 1 b) (* -1/2 b)) (+ (* (/ -2 b) (/ 1/2 (* -1/2 b))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* -1/2 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 b) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* -1/2 b))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 b)) (+ (* (/ -2 b) (/ 0 (* -1/2 b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 1/2 (* -1/2 b))))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 b) (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow (* -1/2 b) 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 0) 1)) (pow (* -1/2 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1/2 b) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* -1/2 b)))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 b)) (+ (* (/ -2 b) (/ 0 (* -1/2 b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 (* -1/2 b))) (* (- (* 4 (/ 1 (pow b 3)))) (/ 1/2 (* -1/2 b))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) into (* -2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ (- a) 2) into (* -1/2 a) * [misc]backup-simplify: Simplify (log (* -1/2 a)) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 a))) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 a))) into (* -1/2 a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 a)) into (/ 2 a) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]backup-simplify: Simplify (log (* 1/2 b)) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 b))) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 b))) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]backup-simplify: Simplify (log (* 1/2 b)) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 b))) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 b))) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 b)) into (/ -2 b) * [misc]taylor: Taking taylor expansion of (/ -2 b) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* (* 1/2 b) (/ 0 2)))) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2)) 1)) (pow (* 1/2 b) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 b)) (* 0 (log (* 1/2 b)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (* 1/2 b)) (+ (* (/ -2 b) (/ -1/2 (* 1/2 b))))) into (- (* 4 (/ 1 (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 b) (/ 0 2)) (* (- 1/2) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2)) 2)) (pow (* 1/2 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 b) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 b))))) into (- (* 1/2 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 b)) (+ (* (/ -2 b) (/ 0 (* 1/2 b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ -1/2 (* 1/2 b))))) into (- (* 4 (/ 1 (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 b) (/ 0 2)) (* (- 1/2) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1/2)) 3)) (pow (* 1/2 b) 3))) (* -3 (/ (* (pow (* 1 (- 1/2)) 1) (pow (* 2 0) 1)) (pow (* 1/2 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 b) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 b)))))) into (- (* 1/3 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 b))) (+ (* (/ (pow (- (/ 1 b)) 3) 6)) (* (/ (pow (- (/ 1 b)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow b 3)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 b)) (+ (* (/ -2 b) (/ 0 (* 1/2 b))) (* (- (* 4 (/ 1 (pow b 2)))) (/ 0 (* 1/2 b))) (* (- (* 4 (/ 1 (pow b 3)))) (/ -1/2 (* 1/2 b))))) into (- (* 4 (/ 1 (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 4 (/ 1 (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 4 in b * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) into (* -2 (* a b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log 1/2)) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (* 1 (- (log 1/2) (log a))) into (- (log 1/2) (log a)) * [misc]backup-simplify: Simplify (exp (- (log 1/2) (log a))) into (exp (- (log 1/2) (log a))) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (exp (- (log 1/2) (log a)))) into (/ b (exp (- (log 1/2) (log a)))) * [misc]backup-simplify: Simplify (/ (/ PI b) (/ b (exp (- (log 1/2) (log a))))) into (/ (* (exp (- (log 1/2) (log a))) PI) (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1/2)) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log -1/2) (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log -1/2) (log b)))) into (/ a (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI a)) (/ a (exp (- (log -1/2) (log b))))) into (* -1 (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) 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 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 a) (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 a) (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1/2)) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1 (- (log -1/2) (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (exp (- (log -1/2) (log b)))) into (/ a (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI a)) (/ a (exp (- (log -1/2) (log b))))) into (* -1 (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (* PI (exp (- (log -1/2) (log 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 (exp (- (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (* PI (exp (- (log -1/2) (log b)))) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (* PI (exp (- (log -1/2) (log b)))) 1) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (- (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* PI (exp (- (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) 2) (+ (* -1/2 (/ 0 2)))) into (* 1/2 (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 1)) (pow -1/2 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1/2)) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (- (log -1/2) (log b)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into (* -1 (/ (exp (- (log -1/2) (log b))) a)) * [misc]backup-simplify: Simplify (- (/ 1 (exp (- (log -1/2) (log b)))) (+ (* (/ a (exp (- (log -1/2) (log b)))) (/ (* -1 (/ (exp (- (log -1/2) (log b))) a)) (exp (- (log -1/2) (log b))))))) into (* 2 (/ 1 (exp (- (log -1/2) (log b))))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow a 2))) (/ a (exp (- (log -1/2) (log b))))) (+ (* (* -1 (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2))) (/ (* 2 (/ 1 (exp (- (log -1/2) (log b))))) (/ a (exp (- (log -1/2) (log b)))))))) into (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 3)) * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (* PI (exp (- (log -1/2) (log 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 (exp (- (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (* PI (exp (- (log -1/2) (log b)))) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (* PI (exp (- (log -1/2) (log b)))) 1) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (- (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (exp (- (log -1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (* 1/2 (/ 1 a)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1/2)) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1/2) (log b))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (- (log -1/2) (log b)))) (+ (* (/ a (exp (- (log -1/2) (log b)))) (/ 0 (exp (- (log -1/2) (log b))))) (* (* 2 (/ 1 (exp (- (log -1/2) (log b))))) (/ (* -1 (/ (exp (- (log -1/2) (log b))) a)) (exp (- (log -1/2) (log b))))))) into (* 2 (/ 1 (* a (exp (- (log -1/2) (log b)))))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow a 3))) (/ a (exp (- (log -1/2) (log b))))) (+ (* (* -1 (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 2))) (/ (* 2 (/ 1 (* a (exp (- (log -1/2) (log b)))))) (/ a (exp (- (log -1/2) (log b)))))) (* (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 3)) (/ (* 2 (/ 1 (exp (- (log -1/2) (log b))))) (/ a (exp (- (log -1/2) (log b)))))))) into (- (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 4))) * [misc]taylor: Taking taylor expansion of (- (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (- (log -1/2) (log b)))) (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (* PI (exp (- (log -1/2) (log 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 (exp (- (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of (- (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1/2) (- (log b))) into (- (log -1/2) (log b)) * [misc]backup-simplify: Simplify (exp (- (log -1/2) (log b))) into (exp (- (log -1/2) (log b))) * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* PI (exp (- (log -1/2) (log b)))) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (* PI (exp (- (log -1/2) (log b)))) 1) into (* PI (exp (- (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/2 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (- (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/2 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1/2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1/2 1)))) 24) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow b 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow b 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow b 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow b 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1/2) (log b))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (log -1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI (exp (- (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI (exp (- (log -1/2) (log b))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) 2) into (* -1/2 b) * [misc]backup-simplify: Simplify (log (* -1/2 b)) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 b))) into (log (* -1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 b))) into (* -1/2 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* -1/2 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -2 b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]backup-simplify: Simplify (log (* 1/2 a)) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 a))) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 a))) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 b) (/ 1 a))) (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a 2) into (* 1/2 a) * [misc]backup-simplify: Simplify (log (* 1/2 a)) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 a))) into (log (* 1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 a))) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 1/2 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 2) (+ (* (* 1/2 a) (/ 0 2)))) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1/2)) 1)) (pow (* 1/2 a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (log (* 1/2 a)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 a))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into -1/2 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (* 1/2 a)) (+ (* (/ 2 a) (/ -1/2 (* 1/2 a))))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ (/ PI a) (/ 2 a)) (+ (* (* 1/2 (* a PI)) (/ (* 4 (/ 1 (pow a 2))) (/ 2 a))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 a) (/ 0 2)) (* (- 1/2) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1/2)) 2)) (pow (* 1/2 a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* 1/2 a))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* 1/2 a))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 a)) (+ (* (/ 2 a) (/ 0 (* 1/2 a))) (* (* 4 (/ 1 (pow a 2))) (/ -1/2 (* 1/2 a))))) into (* 4 (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (- (/ (/ PI (pow a 2)) (/ 2 a)) (+ (* (* 1/2 (* a PI)) (/ (* 4 (/ 1 (pow a 3))) (/ 2 a))) (* (- (* 1/2 PI)) (/ (* 4 (/ 1 (pow a 2))) (/ 2 a))))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1))) in a * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b 2) into (* 1/2 b) * [misc]backup-simplify: Simplify (log (* 1/2 b)) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (* 1 (log (* 1/2 b))) into (log (* 1/2 b)) * [misc]backup-simplify: Simplify (exp (log (* 1/2 b))) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 1/2 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ (- a) 2) into (* -1/2 a) * [misc]backup-simplify: Simplify (log (* -1/2 a)) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 a))) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 a))) into (* -1/2 a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1))) in b * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) 1) in b * [misc]taylor: Taking taylor expansion of (exp (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1 (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ (- a) 2) into (* -1/2 a) * [misc]backup-simplify: Simplify (log (* -1/2 a)) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (* 1 (log (* -1/2 a))) into (log (* -1/2 a)) * [misc]backup-simplify: Simplify (exp (log (* -1/2 a))) into (* -1/2 a) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* -1/2 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 a) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* -1/2 a) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (* -1/2 a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1 a)) (* 0 (log (* -1/2 a)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 a))) (+ (* (/ (pow (- (/ 1 a)) 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (* -1/2 a)) (+ (* (/ 2 a) (/ 1/2 (* -1/2 a))))) into (* 4 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI a)) (/ 2 a)) (+ (* (* -1/2 (* a PI)) (/ (* 4 (/ 1 (pow a 2))) (/ 2 a))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 a) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (* -1/2 a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1/2 a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* -1/2 a))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (log (* -1/2 a))) (+ (* (/ (pow (- (/ 1 a)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow a 2)))) 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1/2 a)) (+ (* (/ 2 a) (/ 0 (* -1/2 a))) (* (* 4 (/ 1 (pow a 2))) (/ 1/2 (* -1/2 a))))) into (* 4 (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow a 2))) (/ 2 a)) (+ (* (* -1/2 (* a PI)) (/ (* 4 (/ 1 (pow a 3))) (/ 2 a))) (* (* 1/2 PI) (/ (* 4 (/ 1 (pow a 2))) (/ 2 a))))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ PI (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (- b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ PI (- a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (* (log (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (log (+ b a)) (log 2)) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (exp (- (+ (log (+ b a)) (log 2)) (log (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 5 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (* (log (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (- (+ (log (+ b a)) (log 2)) (log (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (exp (- (+ (log (+ b a)) (log 2)) (log (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 6 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ a b)) (log (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (log (+ b a)) (log (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (exp (- (log (+ b a)) (log (/ (- (/ 1 a) (/ 1 b)) 2)))))) * * * * [misc]progress: [ 7 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (pow (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (cbrt (pow (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) 3)))) * * * * [misc]progress: [ 10 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 15 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 16 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 17 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (* (cbrt (+ b a)) 2)))) * * * * [misc]progress: [ 18 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 19 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 20 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 21 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 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 (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 22 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 23 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow 1 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (sqrt (+ b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (sqrt (+ b a)) (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 24 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b))) (* (sqrt (+ b a)) 2)))) * * * * [misc]progress: [ 25 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 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 (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 26 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))))))) * * * * [misc]progress: [ 27 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (sqrt (+ b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (sqrt (+ b a)) (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 28 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 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 (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))))) * * * * [misc]progress: [ 29 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)))))) * * * * [misc]progress: [ 30 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* 1 (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* 1 (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 31 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1)) * * [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 (/ 1 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (- (/ 1 a) (/ 1 b))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* 2 (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (- (/ 1 a) (/ 1 b))) (* 2 (+ b a))))) * * * * [misc]progress: [ 32 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ (/ 1 (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))))) * * * * [misc]progress: [ 33 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* (/ 1 (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)))))) * * * * [misc]progress: [ 34 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (* 1 (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (* 1 (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 35 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 39 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 40 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (pow 1 1)) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 41 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 2) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (pow (- (/ 1 a) (/ 1 b)) 1)) (/ 1 2)))) * * * * [misc]progress: [ 42 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 43 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 44 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (/ (/ PI (- b a)) (/ (/ (+ a b) 1) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 45 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ a b)) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (cbrt (+ a b)))))) * * * * [misc]progress: [ 46 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (sqrt (+ b a)) (/ (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (sqrt (+ a b)))))) * * * * [misc]progress: [ 47 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow a 3) (pow b 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fma b (* b b) (pow a 3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (fma b (* b b) (pow a 3)) (* (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (+ (* a a) (- (* b b) (* a b))))))) * * * * [misc]progress: [ 49 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a a) (* b b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (* a a) (* b b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (/ (/ PI (- b a)) (/ (- (* a a) (* b b)) (* (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (- a b))))) * * * * [misc]progress: [ 50 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (- b a))) (- (log (+ a b)) (* (log (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 54 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (- b a))) (- (log (+ a b)) (* (log (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 55 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (- b a))) (- (log (+ a b)) (log (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (- b a))) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 56 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (- b a))) (log (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (- (log (/ PI (- b a))) (log (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ PI (- b a))) (log (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 57 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI (- b a)) (/ PI (- b a))) (/ PI (- b a))) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ PI (- b a)) 3) (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b)))) (* (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (/ (pow (/ PI (- b a)) 3) (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b)))) (* (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))) (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 60 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI (- b a)) (/ PI (- b a))) (/ PI (- b a))) (* (* (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI (- b a)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI (- b a)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) 3))) * * * * [misc]progress: [ 61 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 66 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (cbrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 67 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 68 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 69 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))))) * * * * [misc]progress: [ 70 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (* (cbrt (+ b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))))) (/ (cbrt (/ PI (- b a))) (* (cbrt (+ b a)) 2)))) * * * * [misc]progress: [ 71 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (403 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 72 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 73 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [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 (72 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (cbrt (+ b a))) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (cbrt (+ b a)))))) * * * * [misc]progress: [ 74 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 75 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 76 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))))) * * * * [misc]progress: [ 77 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI (- b a))) (- (/ 1 a) (/ 1 b))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (- (/ 1 a) (/ 1 b))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (* (sqrt (+ b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (- (/ 1 a) (/ 1 b))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) (/ (cbrt (/ PI (- b a))) (* (sqrt (+ b a)) 2)))) * * * * [misc]progress: [ 78 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ b a)) (cbrt (/ PI (- b a))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 79 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (cbrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 80 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))) (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (cbrt (/ PI (- b a))) (sqrt (+ b a)))))) * * * * [misc]progress: [ 81 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 82 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 83 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 84 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (* (+ b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (/ (cbrt (/ PI (- b a))) (* (+ b a) 2)))) * * * * [misc]progress: [ 85 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ PI (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 86 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a))))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (cbrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 87 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 88 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 89 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ PI (- b a))) (+ b a)) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ PI (- b a))) (+ b a)) (cbrt (/ PI (- b a)))) (/ (cbrt (/ PI (- b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI (- b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (+ a b)) (* (cbrt (/ PI (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 90 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (- b a))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 91 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (sqrt (/ PI (- b a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 92 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))))) (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 93 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 94 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (cbrt (+ b a)))))) * * * * [misc]progress: [ 95 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (+ b a))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (+ b a))) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) 2)))) * * * * [misc]progress: [ 96 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a))))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 97 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (sqrt (/ PI (- b a))) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 98 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (cbrt (+ b a)))))) * * * * [misc]progress: [ 99 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (/ (sqrt (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 100 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 101 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 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 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (sqrt (+ b a)))))) * * * * [misc]progress: [ 102 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (* (sqrt (+ b a)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ b a)) (- (/ 1 a) (/ 1 b)))) (/ (sqrt (/ PI (- b a))) (* (sqrt (+ b a)) 2)))) * * * * [misc]progress: [ 103 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 104 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 105 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (sqrt (+ b a))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (sqrt (/ PI (- b a))) (sqrt (+ b a)))))) * * * * [misc]progress: [ 106 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 107 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 108 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 109 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (- b a)))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (* (+ b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (- (/ 1 a) (/ 1 b)) (sqrt (/ PI (- b a)))) (/ (sqrt (/ PI (- b a))) (* (+ b a) 2)))) * * * * [misc]progress: [ 110 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a))))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a))))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 111 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (/ PI (- b a)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (/ PI (- b a))) (+ b a))))) * * * * [misc]progress: [ 112 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 113 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) 1) * * [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 (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ PI (- b a))) (/ (sqrt (/ PI (- b a))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 114 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (- b a))) (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (+ b a)) (/ (sqrt (/ PI (- b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI (- b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ PI (- b a))) (+ a b)) (* (sqrt (/ PI (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 115 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (- b a)) (cbrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 116 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) (/ (/ PI (- b a)) (sqrt (/ (* (+ b a) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 117 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 118 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 119 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 120 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (/ PI 2) (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 121 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 122 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 123 / 319 ] 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 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 124 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (sqrt (+ a b))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 125 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 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 (46 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 126 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 127 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ a b))) (/ (/ (/ PI 2) (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 128 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 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 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (sqrt (+ a b)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 129 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 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 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ a b))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 130 / 319 ] 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 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (/ PI (- b a)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 131 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ PI (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))))) * * * * [misc]progress: [ 132 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))))) * * * * [misc]progress: [ 133 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 134 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- b a) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ 1 a) (/ 1 b)) (/ (/ PI (+ b a)) (* (- b a) 2)))) * * * * [misc]progress: [ 135 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ PI (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))))) * * * * [misc]progress: [ 136 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (/ (/ PI (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b))) (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))))) * * * * [misc]progress: [ 137 / 319 ] 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 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 138 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 139 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ PI (- b a)) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ PI (- b a)) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (- (/ (/ PI (- b a)) (* a 2)) (/ (/ PI (- b a)) (* b 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (- (/ (/ PI (- b a)) (* a 2)) (/ (/ PI (- b a)) (* b 2))))) * * * * [misc]progress: [ 140 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (67 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (* (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b)))))) (/ (/ 1 (- b a)) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 141 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (67 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (sqrt (/ (* 2 (+ a b)) (- (/ 1 a) (/ 1 b))))) (/ (/ 1 (- b a)) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 142 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (* (/ PI (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ PI (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ PI (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ a b)))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 143 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [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 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (cbrt (+ b a)))))) * * * * [misc]progress: [ 144 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (* 2 (- b a)))))) * * * * [misc]progress: [ 145 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 146 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ a b)) (/ PI (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ a b)) (/ PI (cbrt (+ a b))))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (+ a b)) (/ PI (cbrt (+ a b))))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 147 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (/ (cbrt (+ a b)) PI) (cbrt (+ a b)))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (cbrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 148 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 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 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (* 2 (- b a)))))) * * * * [misc]progress: [ 149 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (/ PI (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ PI (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ PI (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 150 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (- b a) (sqrt (+ b a)))))) * * * * [misc]progress: [ 151 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (sqrt (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (* 2 (- b a)))))) * * * * [misc]progress: [ 152 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ (/ (/ 1 2) (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 153 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ PI (sqrt (+ a b))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 154 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (sqrt (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (sqrt (+ b a)) (- b a))))) * * * * [misc]progress: [ 155 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ (sqrt (+ a b)) 1)) * * [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 (22 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (sqrt (+ a b))) (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (sqrt (+ a b))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (* 2 (- b a)))))) * * * * [misc]progress: [ 156 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [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 (96 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 157 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 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 (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [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 (96 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 158 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (* PI (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))))) * * * * [misc]progress: [ 159 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI a) (/ PI b)) (/ (/ 1 2) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 160 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) PI) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) PI) (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (96 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) PI) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 161 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 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 (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [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 (96 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* PI (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 162 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (* PI (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))))) * * * * [misc]progress: [ 163 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1) to (λ (a b) (* PI (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* PI (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))))) * * * * [misc]progress: [ 164 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (+ a b)) (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))))) * * * * [misc]progress: [ 165 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (/ PI (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (fma (* a a) (- a) (pow b 3))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (fma a (+ b a) (* b b)) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 166 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (/ (fma a (+ b a) (* b b)) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 167 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 168 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 169 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (cbrt (+ b a))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (cbrt (+ b a))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (+ b a)))) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 170 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (fma (* a a) (- a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [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 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) (/ (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) 2))) * * * * [misc]progress: [ 171 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (fma (- a) (* a a) (pow b 3))))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (fma (- a) (* a a) (pow b 3))))) (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 172 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (fma (- a) (* a a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (* (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 173 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (/ PI (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (fma (* a a) (- a) (pow b 3))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))))) * * * * [misc]progress: [ 174 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ b a))) (* (/ PI (fma (- a) (* a a) (pow b 3))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ b a))) (* (/ PI (fma (- a) (* a a) (pow b 3))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 175 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 176 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (sqrt (+ b a))) (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 177 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (sqrt (+ b a))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [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 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (fma (- a) (* a a) (pow b 3))) (sqrt (+ b a))) (/ (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) 2))) * * * * [misc]progress: [ 178 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (/ PI (* (sqrt (+ b a)) (fma (- a) (* a a) (pow b 3)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ PI (* (sqrt (+ b a)) (fma (- a) (* a a) (pow b 3)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ PI (* (sqrt (+ b a)) (fma (- a) (* a a) (pow b 3)))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 179 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (fma (* a a) (- a) (pow b 3))) (sqrt (+ b a)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (* (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 180 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (sqrt (+ b a))) (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (/ (sqrt (+ a b)) 1)) (* (/ (fma a (+ b a) (* b b)) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))))) * * * * [misc]progress: [ 181 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* PI (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* PI (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 182 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 183 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ PI (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (fma (* a a) (- a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 184 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (/ (fma (+ b a) b (* a a)) (* 2 (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI a) (/ PI b)) (fma (* a a) (- a) (pow b 3))) (/ (fma (+ b a) b (* a a)) (* 2 (+ b a))))) * * * * [misc]progress: [ 185 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) PI) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (fma (- a) (* a a) (pow b 3)))) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 186 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (fma (- a) (* a a) (pow b 3)) PI)) (* (/ (fma a (+ b a) (* b b)) (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 187 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ PI (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (fma (- a) (* a a) (pow b 3))) (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 188 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ PI (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (fma (- a) (* a a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) 1) (* (/ (fma a (+ b a) (* b b)) (* 2 (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 189 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow b 3) (pow a 3))) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) 2) (fma (+ b a) a (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (pow b 3) (pow a 3))) (+ a b)) (* (/ (- (/ 1 a) (/ 1 b)) 2) (fma (+ b a) a (* b b))))) * * * * [misc]progress: [ 190 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (/ (/ PI (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (+ b a) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (* b b) (* a a))) (* (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) (/ (+ a b) (cbrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 191 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (/ (/ PI (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (+ b a) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (* b b) (* a a))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) (/ (+ a b) (sqrt (/ (* (+ a b) 2) (- (/ 1 a) (/ 1 b))))))) * * * * [misc]progress: [ 192 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (* (+ b a) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (/ PI (* (+ b a) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (/ PI (* (+ b a) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (* (/ (+ a b) (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 193 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) (* (/ (+ a b) (cbrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 194 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (/ (/ PI (* (- b a) (+ b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (* (- b a) (+ b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (* (- b a) (+ b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (cbrt (+ a b))))) * * * * [misc]progress: [ 195 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (cbrt (+ b a))) (+ b a)) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (cbrt (+ b a))) (+ b a)) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) 2) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ PI (cbrt (+ b a))) (+ b a)) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a))) (/ (/ (+ a b) 2) (cbrt (+ a b))))) * * * * [misc]progress: [ 196 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a))) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a))) PI)) (/ (+ b a) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (* (* (cbrt (+ b a)) (* (+ b a) (- b a))) (cbrt (+ b a))) PI)) (* (/ (+ a b) (cbrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 197 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) (/ (+ b a) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (/ PI (* (- b a) (+ b a))))) (* (/ (+ a b) (cbrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 198 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) * * [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 (132 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (+ b a)) (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ PI (+ b a)) (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ PI (+ b a)) (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (cbrt (+ a b))))) * * * * [misc]progress: [ 199 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (* (- b a) (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (* (- b a) (+ b a))))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (sqrt (+ b a))) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ PI (* (- b a) (+ b a))))) (* (/ (+ a b) (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 200 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) (/ (+ b a) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) (* (/ (+ a b) (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 201 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (sqrt (+ b a)) (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- b a)) (* (sqrt (+ b a)) (+ b a))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- b a)) (* (sqrt (+ b a)) (+ b a))) (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (sqrt (+ a b))))) * * * * [misc]progress: [ 202 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) (sqrt (+ b a))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) 2) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) (sqrt (+ b a))) (/ (/ (+ a b) 2) (sqrt (+ a b))))) * * * * [misc]progress: [ 203 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (+ b a)) (/ PI (* (- b a) (+ b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (+ b a)) (/ PI (* (- b a) (+ b a))))) (/ (+ b a) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (sqrt (+ b a)) (/ PI (* (- b a) (+ b a))))) (* (/ (+ a b) (sqrt (+ a b))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 204 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) (/ (+ b a) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (* (sqrt (+ b a)) (- (* b b) (* a a))) PI)) (* (/ (+ a b) (sqrt (+ a b))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 205 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ (sqrt (+ a b)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- b a) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (* (- b a) (sqrt (+ b a)))) (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * [exit]simplify: Simplified to (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ b a)) (* (- b a) (sqrt (+ b a)))) (/ (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) (sqrt (+ a b))))) * * * * [misc]progress: [ 206 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ b a)) (- b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (/ PI (+ b a)) (- b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (/ (+ b a) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (/ PI (+ b a)) (- b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 207 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) (/ (+ b a) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 208 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (pow 1 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (/ PI (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (- (* b b) (* a a))) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ PI (- (* b b) (* a a))) (/ (- (/ 1 a) (/ 1 b)) 2))) * * * * [misc]progress: [ 209 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ (+ b a) (/ (+ a b) (pow (/ 1 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ 1 2) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ 1 2))) * * * * [misc]progress: [ 210 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (* (* (/ (/ PI (- b a)) (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (* (/ (/ PI (- b a)) (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (/ (+ b a) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (/ PI (- b a)) (+ b a)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 211 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) (/ (+ b a) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ PI (+ b a)) (- b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)))) * * * * [misc]progress: [ 212 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (/ 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (+ b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (- b a)) (+ b a)) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- b a)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) * * * * [misc]progress: [ 213 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (- b a)) (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (+ b a)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2))) * * * * [misc]progress: [ 214 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (* b b) (* a a))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI (+ b a)) (- (* b b) (* a a))) (/ (+ b a) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) * [enter]simplify: Simplifying (/ (+ b a) (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (81 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- (* b b) (* a a))) (+ a b)) (- (/ (+ a b) (* a 2)) (/ (+ a b) (* 2 b))))) * * * * [misc]progress: [ 215 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 216 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (* (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) (cbrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) (cbrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 219 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (sqrt (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (sqrt (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b)))))) * * * * [misc]progress: [ 220 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 221 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 222 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow 1 1))) (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 223 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (+ b a)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (pow (- (/ 1 a) (/ 1 b)) 1))) (* (cbrt (+ b a)) 2))) * * * * [misc]progress: [ 224 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) (/ (cbrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 225 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (/ (cbrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 226 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (/ (* 2 (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 227 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) (/ (sqrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 228 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 229 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow 1 1))) (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 230 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ b a)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (pow (- (/ 1 a) (/ 1 b)) 1))) (* (sqrt (+ b a)) 2))) * * * * [misc]progress: [ 231 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) (/ (sqrt (+ b a)) (cbrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 232 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [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 (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (/ (sqrt (+ b a)) (sqrt (- (/ (/ 1 2) a) (/ (/ 1 2) b)))))) * * * * [misc]progress: [ 233 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ a b)) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [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 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ (sqrt (+ a b)) 1)) (/ (* 2 (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 234 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (pow (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) 1))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 235 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (pow (sqrt (/ (- (/ 1 a) (/ 1 b)) 2)) 1))) (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 236 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (pow 1 1))) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 237 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ 1 2) 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* 2 (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (pow (- (/ 1 a) (/ 1 b)) 1))) (* 2 (+ b a)))) * * * * [misc]progress: [ 238 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (* (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 239 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 (sqrt (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) (/ (+ b a) (sqrt (/ (- (/ 1 a) (/ 1 b)) 2))))) * * * * [misc]progress: [ 240 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (/ 1 1)) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 241 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) 1) (/ (* 2 (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 242 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ 2 (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ PI (- b a)) (+ a b)) (/ 2 (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 243 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ PI (- b a))) (cbrt (/ PI (- b a)))) (/ (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (cbrt (/ PI (- b a)))))) * * * * [misc]progress: [ 244 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ PI (- b a))) (/ (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (sqrt (/ PI (- b a)))))) * * * * [misc]progress: [ 245 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 247 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ PI (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ PI (fma (- a) (* a a) (pow b 3))) (/ (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (+ (* b b) (+ (* a a) (* b a)))))) * * * * [misc]progress: [ 248 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI (+ b a)) (- b a)) (/ (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)) (+ b a)))) * * * * [misc]progress: [ 249 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ PI (- b a)) (+ a b)) (/ (- (/ 1 a) (/ 1 b)) 2))) * * * * [misc]progress: [ 250 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 254 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 260 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 261 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 264 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ PI (sqrt (- b a))) (sqrt (- b a))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 265 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ PI 1) (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 266 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 267 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ PI (- (* b b) (* a a))) (+ a b)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 268 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 269 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 270 / 319 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 271 / 319 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 272 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 273 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 274 / 319 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 275 / 319 ] 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) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 276 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 277 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 278 / 319 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 279 / 319 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 280 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 281 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) 2) 1)))) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 282 / 319 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 283 / 319 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) (fma (- (/ 1 b)) 1 (* (/ 1 b) 1))) 2) 1)))) * [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 (34 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (+ (- (/ 1 a) (/ 1 b)) 0) 2) 1)))) * * * * [misc]progress: [ 284 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 286 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 287 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 a)) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 288 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 289 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 290 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (log (exp (- (/ 1 a) (/ 1 b)))) 2) 1)))) * * * * [misc]progress: [ 291 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 292 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 293 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 294 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 295 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 296 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 297 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (/ (- b a) (* a b)) 2) 1)))) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (/ (- b a) (* a b)) 2) 1)))) * * * * [misc]progress: [ 298 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 299 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 300 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 301 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 302 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) 2) 1)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) 2) 1)))) * * * * [misc]progress: [ 303 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* 1 (- (/ 1 a) (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 304 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* 1 (- (/ 1 a) (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 305 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* 1 (- (/ 1 a) (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 306 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (* 1 (- (/ 1 a) (/ 1 b))) 2) 1)))) * * * * [misc]progress: [ 307 / 319 ] simplifiying candidate # * * * * [misc]progress: [ 308 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (/ a (exp (- (log 1/2) (log a))))) (/ b (exp (- (log 1/2) (log a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (fma 2 (/ a 1/2) (/ b 1/2)) a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ PI (- b a)) (* (fma 2 (/ a 1/2) (/ b 1/2)) a))) * * * * [misc]progress: [ 309 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b a) -2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* b a) -2))) * * * * [misc]progress: [ 310 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* b a) -2) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ PI (- b a)) (* (* b a) -2))) * * * * [misc]progress: [ 311 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 312 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 313 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 314 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 315 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 316 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 0 (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 317 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 318 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * * [misc]progress: [ 319 / 319 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b) (/ (/ PI (- b a)) (/ (+ a b) (pow (/ (- (/ 1 a) (/ 1 b)) 2) 1)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (a b) * * * * [misc]regimes: Trying to branch on a from (# # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # #) * * * [misc]regime: Found split indices: #