* [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 55 additional inputs, on iter 1 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 55 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 11 additional inputs, on iter 2 have 245 / 256 * * * * [misc]points: Computing exacts for 11 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 256 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 (95 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 3) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [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 b) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 a) in a * [misc]taylor: Taking taylor 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI b)) 0) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI a))) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI a))) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* PI a)) (/ 0 1)))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI a)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1/2 PI)) (/ 0 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ -1 (/ -1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* PI a))) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) 1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* PI a))) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 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 (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI a)) (/ 0 1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) 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 (- 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI a)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1/2 PI) (/ 0 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 3) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) 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 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)))) 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 1) (+ (* (* 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 a) in a * [misc]taylor: Taking taylor 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 a) in a * [misc]taylor: Taking taylor 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 (/ (* 1/2 PI) 1) 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 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) 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 -1) (+ (* (* -1/2 PI) (/ 0 -1)))) 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 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (- 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) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) 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)) (* 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 (- 0) into 0 * [misc]backup-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) (+ (* (* -1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 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 (- 0) into 0 * [misc]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) (+ (* (* -1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 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 (- 0) into 0 * [misc]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) (+ (* (* -1/2 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 (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [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 b) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) 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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 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 (* 1/2 PI) into (* 1/2 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (+ (* 1/2 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) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 PI)) (* 1 (/ 1 b))) (* (* 1/2 PI) (* (/ 1 a) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 a) in a * [misc]taylor: Taking taylor 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 0 (* 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) 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 PI) into (* 1/2 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 (+ (* PI 1) (* 0 0)) into PI * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) 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 (+ (* 1/2 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) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 PI) (* (/ 1 a) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 b)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ -1 (/ -1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ -1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 0 (* -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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (- (* 1/2 PI)) into (- (* 1/2 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) (+ (* 1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) 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 (- 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 1))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 (- a)) 1)) (* (* 1/2 PI) (* 1 (/ 1 (- b))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ b a)) (log (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (log (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (log (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2))) (/ (* (pow (+ b a) 3) (pow (- b a) 3)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2))) (/ (* (pow (+ b a) 3) (pow (- b a) 3)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)))) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ PI (* a 2))) (* (+ b a) (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ PI (* a 2))) (* (+ b a) (- b a))) 3) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (* (- b a) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (* (- b a) (+ b a))) 3) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (/ (/ PI -2) a) (/ (/ PI -2) b)) * [exit]simplify: Simplified to (- (/ (/ PI -2) a) (/ (/ PI -2) b)) * [enter]simplify: Simplifying (- (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ b a)) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (* (/ PI b) -1/2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (* (/ PI b) -1/2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (* (+ b a) (- b a)) (fma a (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (* (+ b a) (- b a)) (fma a (* a a) (pow b 3)))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (* (+ b a) (- b a)) (fma (- a) (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (* (+ b a) (- b a)) (fma (- a) (* a a) (pow b 3)))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ PI a) 2) (/ PI (* -2 b))) (* (* (- b a) (+ b a)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (+ (/ (/ PI a) 2) (/ PI (* -2 b))) (* (* (- b a) (+ b a)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- (* b b) (* a a)))) * * [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 (152 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (- b a) (* (+ b a) (+ b a)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (- b a) (* (+ b a) (+ b a)))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (- b a) (fma (* a a) a (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (- b a) (fma (* a a) a (pow b 3)))) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (+ b a) (* (- b a) (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (+ b a) (* (- b a) (- b a)))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ PI a) 2)) * [exit]simplify: Simplified to (expm1 (/ (/ PI a) 2)) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (/ (/ PI a) 2)) * [exit]simplify: Simplified to (log1p (/ (/ PI a) 2)) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (/ (/ PI a) 2)) * [exit]simplify: Simplified to (log (/ (/ PI a) 2)) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) a)) (cbrt (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI a) 2)) (cbrt (/ (/ PI a) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI a) 2)) (cbrt (/ (/ PI a) 2))) * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (cbrt (/ (/ PI a) 2)) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (/ (/ PI 2) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (* (* (/ PI a) (/ PI 4)) (/ (/ PI a) (* a 2))) * [exit]simplify: Simplified to (* (* (/ PI a) (/ PI 4)) (/ (/ PI a) (* a 2))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ a (cbrt (/ PI 2))) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ a (sqrt (/ PI 2))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ 1 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ a 1/2) * [exit]simplify: Simplified to (/ a 1/2) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2 a) * [exit]simplify: Simplified to (* 2 a) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (expm1 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (expm1 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log1p (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (log1p (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ -1 b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* -1/2 (/ PI b)) * [exit]simplify: Simplified to (* -1/2 (/ PI b)) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (log (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (- (/ PI (* a 2)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (exp (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * [exit]simplify: Simplified to (pow (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) 3) * [exit]simplify: Simplified to (pow (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) 3) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI (* a 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 a) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) 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 (- (+ (* 1 (/ 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [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 (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (* 1/2 (/ 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 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [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 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 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 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 (+ (* 1/2 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 0) (* 0 2))))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ PI (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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 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 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) 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)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 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 (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 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 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ 0 -1)) (* (- (/ PI b)) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 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 (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* b a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 (- b)))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) 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) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- b))) into (* 1/2 (/ PI b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [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 (- 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)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (- 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)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (- 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)) 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 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 b)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 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 b)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) -1)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [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 (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) -1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- 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 b)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- 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 b)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) 1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ (- (/ 1 b)) -1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * * * * [misc]progress: [ 2 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * * * * [misc]progress: [ 3 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * * * * [misc]progress: [ 5 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* a 2))) * * [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 (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 6 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* a 2))) (cbrt (/ PI (* a 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (cbrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * * * * [misc]progress: [ 7 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* a 2)) (/ PI (* a 2))) (/ PI (* a 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * * * * [misc]progress: [ 8 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * * * * [misc]progress: [ 9 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (* a 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* -2 a) * [exit]simplify: Simplified to (* -2 a) * * * * [misc]progress: [ 10 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * * * * [misc]progress: [ 12 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a 2) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 13 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * * * * [misc]progress: [ 14 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 15 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 16 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (+ a b))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (+ a b))) * * * * [misc]progress: [ 18 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * * * * [misc]progress: [ 19 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [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 (67 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 20 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) 3) * * * * [misc]progress: [ 21 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 22 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) 3) * * * * [misc]progress: [ 23 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 24 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (10 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 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 25 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* a 2)) (+ b a)) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ PI (* 2 b)) (+ b a)) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ PI (* (* b 2) (+ b a))) * [exit]simplify: Simplified to (/ PI (* (* b 2) (+ b a))) * * * * [misc]progress: [ 26 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 27 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 28 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 29 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 30 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 31 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 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 (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 32 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * * * * [misc]progress: [ 33 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 34 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * * * * [misc]progress: [ 35 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * * * * [misc]progress: [ 36 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * * * [misc]progress: [ 37 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (+ b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (+ b a)) * * * * [misc]progress: [ 38 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * * * * [misc]progress: [ 39 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 40 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * * * * [misc]progress: [ 41 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * * * * [misc]progress: [ 42 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * * * [misc]progress: [ 43 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * * * * [misc]progress: [ 44 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 46 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 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 (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 47 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * * * [misc]progress: [ 48 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 49 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * * * * [misc]progress: [ 50 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 51 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 52 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 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 (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 53 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 54 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 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 (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 55 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 (* a 2)) (/ 1 (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ (/ 1 (* a 2)) (/ -1/2 b))) * [exit]simplify: Simplified to (/ (+ a b) (+ (/ 1 (* a 2)) (/ -1/2 b))) * * * * [misc]progress: [ 56 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma a (* a a) (pow b 3))) * * * * [misc]progress: [ 57 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 58 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* (* a 2) (* 2 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (* (* 4 (+ a b)) (* a b)) * [exit]simplify: Simplified to (* (* 4 (+ a b)) (* a b)) * * * * [misc]progress: [ 59 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ PI (* 2 b)) (/ PI (* 2 b))) (* (/ PI (* a 2)) (/ PI (* 2 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (+ a b)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (+ a b)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * * * * [misc]progress: [ 60 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) 2) (+ (/ PI b) (/ PI a))) * [exit]simplify: Simplified to (* (/ (+ a b) 2) (+ (/ PI b) (/ PI a))) * * * * [misc]progress: [ 61 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * * * * [misc]progress: [ 62 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * * * * [misc]progress: [ 63 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * * * * [misc]progress: [ 65 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * * * * [misc]progress: [ 66 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* 2 b))) (cbrt (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [enter]simplify: Simplifying (cbrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * * * * [misc]progress: [ 67 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* 2 b)) (/ PI (* 2 b))) (/ PI (* 2 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * * * * [misc]progress: [ 68 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * * * * [misc]progress: [ 69 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (* 2 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* -2 b) * [exit]simplify: Simplified to (* -2 b) * * * * [misc]progress: [ 70 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1/2 b) * [exit]simplify: Simplified to (/ 1/2 b) * * * * [misc]progress: [ 72 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 b) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * * * * [misc]progress: [ 73 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 74 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 75 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 76 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (+ b a))) (log (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))) * * * * [misc]progress: [ 78 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (log (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ a b)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ a b)))) * * * * [misc]progress: [ 79 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 80 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 81 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 82 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) 3) * * * * [misc]progress: [ 83 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))))) * [enter]simplify: Simplifying (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 84 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) 3) * * * * [misc]progress: [ 85 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 86 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI 2) b) (/ PI (* 2 a))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ (/ PI 2) b) (/ PI (* 2 a))) (+ a b)) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 87 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (* a 2)) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI (* 2 b)) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* b (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* b (+ b a))) * * * * [misc]progress: [ 88 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * * * * [misc]progress: [ 89 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * * * * [misc]progress: [ 90 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * * * * [misc]progress: [ 91 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * * * * [misc]progress: [ 92 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * * * * [misc]progress: [ 93 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * * * * [misc]progress: [ 94 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 95 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 96 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * * * * [misc]progress: [ 97 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 98 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 99 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * * * * [misc]progress: [ 100 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * * * * [misc]progress: [ 101 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * * * * [misc]progress: [ 102 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 103 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 104 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 105 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * * * * [misc]progress: [ 106 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 107 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 108 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * * * * [misc]progress: [ 109 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * * * * [misc]progress: [ 110 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * * * * [misc]progress: [ 111 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 112 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 113 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 114 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 115 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 116 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 117 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 118 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 119 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 120 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 121 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 122 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (sqrt (- b a))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (sqrt (- b a))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 123 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 124 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 125 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 126 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 127 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (+ b a))) * * * * [misc]progress: [ 128 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 129 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 130 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 131 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 132 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 133 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 134 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 135 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 136 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 137 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 138 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 139 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ PI (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ PI (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 140 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 141 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 142 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 143 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ PI (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 144 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 145 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 146 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (sqrt (- b a))) * * [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 (/ PI (sqrt (- b a))) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 147 / 204 ] 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 * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 148 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 149 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 150 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 151 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 152 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 153 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * * * * [misc]progress: [ 154 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (* b b) b (pow a 3)) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (* b b) b (pow a 3)) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (cbrt (- b a))) * * * * [misc]progress: [ 155 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (sqrt (- b a)) (fma b (* b b) (pow a 3)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (sqrt (- b a)) (fma b (* b b) (pow a 3)))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (sqrt (- b a))) * * [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 (74 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (sqrt (- b a))) * * * * [misc]progress: [ 156 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (* a a) a (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (* a a) a (pow b 3))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (- b a)) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (- b a)) * * * * [misc]progress: [ 157 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (/ (- b a) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- b a))) * * * * [misc]progress: [ 158 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (* (- b a) (+ a b)))) * [enter]simplify: Simplifying (/ (- b a) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- b a))) * * * * [misc]progress: [ 159 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [enter]simplify: Simplifying (/ (- b a) (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 160 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 162 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 163 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 164 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 165 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI b) 2)) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI b) 2)) (+ a b)) * * * * [misc]progress: [ 166 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * * * * [misc]progress: [ 167 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * * * * [misc]progress: [ 168 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 169 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 170 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * * * * [misc]progress: [ 171 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 172 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 173 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * * * * [misc]progress: [ 174 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 175 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 176 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 177 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 178 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 179 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 180 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 181 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 182 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 183 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * * * * [misc]progress: [ 184 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * * * * [misc]progress: [ 185 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 (* a 2)) (/ 1/2 b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 (* a 2)) (/ 1/2 b))) * * * * [misc]progress: [ 186 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 187 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 188 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (+ (* b b) (- (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * * * * [misc]progress: [ 189 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 190 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ a b))) * * * * [misc]progress: [ 191 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (* (+ a b) (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (* (+ a b) (+ a b)) (- b a))) * * * * [misc]progress: [ 192 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * * * * [misc]progress: [ 193 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 194 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 195 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 196 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ 1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 197 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 198 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 199 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 200 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 201 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 202 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 203 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 204 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ PI (* a 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 a) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) 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 (- (+ (* 1 (/ 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) 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) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [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 (* a 2)) (/ PI (* 2 b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (* a 2)) (/ PI (* 2 b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (* 1/2 (/ 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 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) (* 0 2))))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 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 (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) 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)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* PI b)) (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI b)) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI b)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* b a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 (- b)))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) 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) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- b))) into (* 1/2 (/ PI b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) 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 (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 b) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [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 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [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 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) 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 (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [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]backup-simplify: Simplify (* (/ 1 a) (* 1/2 (/ PI 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 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 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 (+ (* 1/2 (/ PI a)) 0) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) (- a)) (+ (* (* 1/2 (/ PI a)) (/ 1 (- a))))) 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 (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) (* 1/2 (/ PI 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 (+ (* 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 (+ (* a 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 a)) (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* 1/2 (/ PI a)) (/ 0 (- a))) (* 0 (/ 1 (- a))))) 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 (+ (* (/ 1 a) 0) (+ (* (- (/ 1 (pow a 2))) 0) (* (/ 1 (pow a 3)) (* 1/2 (/ PI a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 b) (/ 1 a))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) 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 (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) 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 (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (* 1 (* 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 2 a))))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* PI a)) (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 a) 1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 a)) (* 1/2 (* PI 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 2 a))) (* 0 (/ 0 (/ 2 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI a)) (/ 0 1)) (* 0 (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ (/ 1 a) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* (/ 1 (pow a 2)) (* 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ PI (/ -2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) 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 (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 (* 2 -1) 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (* -1 (* 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 a)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -2 a))))) into 0 * [misc]backup-simplify: Simplify (- (* -1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 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 (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* PI a)) (/ (/ 1 a) -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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 a)) -1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 a) (* 1/2 (* PI 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 a)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -2 a))) (* 0 (/ 0 (/ -2 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 (+ (* 2 0) (* 0 -1)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* PI a)) (/ 0 -1)) (* 0 (/ (/ 1 a) -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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ (- (/ 1 a)) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) (* 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 (/ 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * * * * [misc]progress: [ 2 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * * * * [misc]progress: [ 3 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * * * * [misc]progress: [ 5 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* a 2))) * * [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 (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 6 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* a 2))) (cbrt (/ PI (* a 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (cbrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * * * * [misc]progress: [ 7 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* a 2)) (/ PI (* a 2))) (/ PI (* a 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * * * * [misc]progress: [ 8 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * * * * [misc]progress: [ 9 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (* a 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* -2 a) * [exit]simplify: Simplified to (* -2 a) * * * * [misc]progress: [ 10 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * * * * [misc]progress: [ 12 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a 2) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 13 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * * * * [misc]progress: [ 14 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * * * * [misc]progress: [ 15 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * * * * [misc]progress: [ 16 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (- b a))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (- b a))) * * * * [misc]progress: [ 18 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))) * * * * [misc]progress: [ 19 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * * * * [misc]progress: [ 20 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) 3) * * * * [misc]progress: [ 21 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * * * * [misc]progress: [ 22 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) 3) * * * * [misc]progress: [ 23 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * * * * [misc]progress: [ 24 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (10 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 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 25 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* a 2)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) a) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) a) * [enter]simplify: Simplifying (/ (/ PI (* 2 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) b) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) b) * * * * [misc]progress: [ 26 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) * * * * [misc]progress: [ 27 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * * * * [misc]progress: [ 28 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 29 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) * * * * [misc]progress: [ 30 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * * * * [misc]progress: [ 31 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 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 (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 32 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) * * * * [misc]progress: [ 33 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * * * * [misc]progress: [ 34 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) * * * * [misc]progress: [ 35 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (- b a))) * * * * [misc]progress: [ 36 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a))) * * * * [misc]progress: [ 37 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (- b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (- b a)) * * * * [misc]progress: [ 38 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) * * * * [misc]progress: [ 39 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * * * * [misc]progress: [ 40 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) * * * * [misc]progress: [ 41 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (- b a))) * * * * [misc]progress: [ 42 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (- b a))) * * * * [misc]progress: [ 43 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (- b a)) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (- b a)) * * * * [misc]progress: [ 44 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 46 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 47 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 48 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * * * * [misc]progress: [ 49 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * * * * [misc]progress: [ 50 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 51 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 52 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 53 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 54 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 55 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 (* a 2)) (/ 1 (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (- b a) (+ (/ (/ 1 a) 2) (/ -1/2 b))) * [exit]simplify: Simplified to (/ (- b a) (+ (/ (/ 1 a) 2) (/ -1/2 b))) * * * * [misc]progress: [ 56 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (- a) (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (- a) (* a a) (pow b 3))) * * * * [misc]progress: [ 57 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 58 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (* (* a 2) (* 2 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (* (* (- b a) a) (* 4 b)) * [exit]simplify: Simplified to (* (* (- b a) a) (* 4 b)) * * * * [misc]progress: [ 59 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ PI (* 2 b)) (/ PI (* 2 b))) (* (/ PI (* a 2)) (/ PI (* 2 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (- b a)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (- b a) (/ PI a)) (/ (/ PI a) 4))) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (- b a)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (- b a) (/ PI a)) (/ (/ PI a) 4))) * * * * [misc]progress: [ 60 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (* (+ (/ PI b) (/ PI a)) (/ (- b a) 2)) * [exit]simplify: Simplified to (* (+ (/ PI b) (/ PI a)) (/ (- b a) 2)) * * * * [misc]progress: [ 61 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * * * * [misc]progress: [ 62 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * * * * [misc]progress: [ 63 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * * * * [misc]progress: [ 65 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * * * * [misc]progress: [ 66 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* 2 b))) (cbrt (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [enter]simplify: Simplifying (cbrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * * * * [misc]progress: [ 67 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* 2 b)) (/ PI (* 2 b))) (/ PI (* 2 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * * * * [misc]progress: [ 68 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * * * * [misc]progress: [ 69 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (* 2 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* -2 b) * [exit]simplify: Simplified to (* -2 b) * * * * [misc]progress: [ 70 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1/2 b) * [exit]simplify: Simplified to (/ 1/2 b) * * * * [misc]progress: [ 72 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 b) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * * * * [misc]progress: [ 73 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 74 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 75 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log1p (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 76 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 77 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ b a))) (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (- b a)) (log (+ a b)))) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (- b a)) (log (+ a b)))) * * * * [misc]progress: [ 79 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ b a))) (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) * * * * [misc]progress: [ 80 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ b a))) (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 81 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ b a))) (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 82 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 83 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 84 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (- b a) 3)) (pow (- (/ PI (* 2 a)) (/ (/ PI 2) b)) 3)) * [exit]simplify: Simplified to (* (/ (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (- b a) 3)) (pow (- (/ PI (* 2 a)) (/ (/ PI 2) b)) 3)) * * * * [misc]progress: [ 85 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a)) (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a))) (* (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a)) (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))))) * [exit]simplify: Simplified to (* (* (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a)) (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a))) (* (/ (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (- b a)) (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))))) * * * * [misc]progress: [ 86 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) (cbrt (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 87 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) 3) * * * * [misc]progress: [ 88 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 89 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ PI (* 2 b))) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ PI (* 2 b))) * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 90 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))) (/ (+ b a) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))) (/ (+ b a) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))))) * * * * [misc]progress: [ 92 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a))) (+ b a)) * * * * [misc]progress: [ 93 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a))))) * * * * [misc]progress: [ 94 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 95 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 96 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (+ b a)))) * * * * [misc]progress: [ 97 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 98 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1)) * * [misc]simplify: iters left: 6 (15 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 (108 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * * * * [misc]progress: [ 99 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ b a)) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ b a)) (cbrt (- b a))) (cbrt (- b a))) * * * * [misc]progress: [ 100 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 101 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 102 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b))) (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b))) (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a))))) * * * * [misc]progress: [ 103 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 104 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* a 2)))) (+ b a)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* a 2)))) (+ b a)) * * * * [misc]progress: [ 105 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ b a)) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ b a)) (cbrt (- b a))) (cbrt (- b a))) * * * * [misc]progress: [ 106 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 107 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 108 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ PI (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* (cbrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* (cbrt (- b a)) (+ b a))) * * * * [misc]progress: [ 109 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ PI (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 110 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ PI 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 111 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 112 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [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 (113 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (+ b a)) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (+ b a)) * * * * [misc]progress: [ 113 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * * * * [misc]progress: [ 114 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (* (+ b a) (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (* (+ b a) (+ b a)) (- b a))) * * * * [misc]progress: [ 115 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (cbrt (/ 1 (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (* (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (cbrt (/ 1 (+ b a)))) (- b a)) * * * * [misc]progress: [ 116 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * [exit]simplify: Simplified to (/ (* (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (sqrt (/ 1 (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (* (- (/ (/ PI a) 2) (/ (/ PI 2) b)) (sqrt (/ 1 (+ b a)))) (- b a)) * * * * [misc]progress: [ 117 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 118 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 119 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (/ (- b a) (fma b (- b a) (* a a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (/ (- b a) (fma b (- b a) (* a a)))) * * * * [misc]progress: [ 120 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (* 1 (- (/ (/ PI a) 2) (/ PI (* b 2)))) * [exit]simplify: Simplified to (* 1 (- (/ (/ PI a) 2) (/ PI (* b 2)))) * * * * [misc]progress: [ 121 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [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 (113 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (+ b a)) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (+ b a)) * * * * [misc]progress: [ 122 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (- b a)) * * * * [misc]progress: [ 123 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI 1/2) a) (/ (/ PI 2) b)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 125 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI 1/2) a) (/ (/ PI 2) b)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 126 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (- (/ (* PI 1/2) a) (/ (/ PI 2) b)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 127 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (* 1/2 (/ PI (* b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (/ 1/2 (+ b a)) (/ (/ PI a) b)) * * * * [misc]progress: [ 128 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (* 1/2 (/ PI (* b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (/ 1/2 (+ b a)) (/ (/ PI a) b)) * * * * [misc]progress: [ 129 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (* 1/2 (/ PI (* b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (/ 1/2 (+ b a)) (/ (/ PI a) b)) * * * * [misc]progress: [ 130 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* a 2))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 131 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* a 2))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 132 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* a 2))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 133 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 134 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 135 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]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]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) 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 (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) 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 (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (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 (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) 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 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 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 (/ (+ (* 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 (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of -5/81 in b * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in b * [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 (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (* PI a))) into (log (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* PI a)))) into (* 1/3 (log (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI a))))) into (pow (* 1/2 (* PI a)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* PI b))) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (- (* 1/2 PI)) 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 (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) into (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* -1/2 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]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log b) (log (- (* 1/2 PI)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (- (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) (+ (* (/ (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 (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* PI b))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 5)) 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]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b))))))) (pow (* 1 (/ 1 a)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b))))))) (* 1 (/ 1 a))) (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))))) into (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in b * [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 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* PI a)))) into (log (- (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* PI a))))) into (* 1/3 (log (- (* 1/2 (* PI a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI a)))))) into (pow (- (* 1/2 (* PI a))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* PI b)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* PI b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) 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 (* 1/3 (+ (log b) (log (* 1/2 PI)))) into (* 1/3 (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* PI b)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* PI b))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* PI b)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* PI b)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 (- b)))))))) (pow (* 1 (/ 1 (- a))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 (- b)))))))) (* 1 (/ 1 (- a)))) (exp (* 1/3 (+ (log (/ 1 (- b))) (log (* 1/2 PI))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]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]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) 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 (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) 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 (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (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 (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) 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 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 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 (/ (+ (* 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 (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of -5/81 in b * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in b * [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 (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (* PI a))) into (log (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* PI a)))) into (* 1/3 (log (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI a))))) into (pow (* 1/2 (* PI a)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* PI b))) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (- (* 1/2 PI)) 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 (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) into (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* -1/2 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]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log b) (log (- (* 1/2 PI)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (- (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) (+ (* (/ (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 (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* PI b))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 5)) 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]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b))))))) (pow (* 1 (/ 1 a)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b))))))) (* 1 (/ 1 a))) (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))))) into (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in b * [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 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* PI a)))) into (log (- (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* PI a))))) into (* 1/3 (log (- (* 1/2 (* PI a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI a)))))) into (pow (- (* 1/2 (* PI a))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* PI b)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* PI b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) 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 (* 1/3 (+ (log b) (log (* 1/2 PI)))) into (* 1/3 (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* PI b)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* PI b))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* PI b)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* PI b)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 (- b)))))))) (pow (* 1 (/ 1 (- a))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 (- b)))))))) (* 1 (/ 1 (- a)))) (exp (* 1/3 (+ (log (/ 1 (- b))) (log (* 1/2 PI))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in b * [misc]taylor: Taking taylor expansion of (- (/ (/ PI a) 2) (/ (/ PI 2) b)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ PI a) 2) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) b) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) 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 (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI a) 2) (/ (/ PI 2) b)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI a) 2) 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 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 (/ (/ PI 2) b) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI a) 2) (/ (/ PI 2) b)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI a) 2) 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 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 (/ (/ PI 2) b) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) 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 (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (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 (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ 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 (/ (+ (* -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 (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ 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 (/ (+ (* 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 (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of -5/81 in b * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI a) 2) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (* PI a))) into (log (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* PI a)))) into (* 1/3 (log (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI a))))) into (pow (* 1/2 (* PI a)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 a)) 2) 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 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 (/ (/ PI 2) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 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 (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 a)) 2) 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 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 (/ (/ PI 2) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 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 (/ (* 1/2 PI) (/ 1 b)) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* PI b))) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [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 (- (* 1/2 PI)) 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 (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) into (* 1/3 (+ (log b) (log (- (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) into (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* -1/2 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]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log b) (log (- (* 1/2 PI)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (- (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (- (* 1/2 PI)))))) (+ (* (/ (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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* PI b))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow b 5)) 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]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b))))))) (pow (* 1 (/ 1 a)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b))))))) (* 1 (/ 1 a))) (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))))) into (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ PI (/ -1 a)) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI a)) 2) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* PI a)))) into (log (- (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* PI a))))) into (* 1/3 (log (- (* 1/2 (* PI a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI a)))))) into (pow (- (* 1/2 (* PI a))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- a))) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (/ (* 1/2 PI) (/ -1 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- a))) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 PI) 2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (/ (* 1/2 PI) (/ -1 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* PI b)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* PI b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* PI b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) 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 (* 1/3 (+ (log b) (log (* 1/2 PI)))) into (* 1/3 (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* PI b)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* PI b))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 PI) (/ 0 2)))) 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 (- 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)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* PI b)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* PI b)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 (- b)))))))) (pow (* 1 (/ 1 (- a))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 (- b)))))))) (* 1 (/ 1 (- a)))) (exp (* 1/3 (+ (log (/ 1 (- b))) (log (* 1/2 PI))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in b * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]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]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) 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 (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 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 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [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 (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]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]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) 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 (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) into (/ a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) into (/ (pow (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 2) a) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 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 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) into (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) b) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 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 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* a 2)) (/ (/ PI b) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* a 2)) (/ (/ PI b) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* 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 (* a 2) in a * [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 (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) 2) in a * [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 b) 2) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) into (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) b) * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) b) in b * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (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 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (* 2/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 2/3 (- (log (* 1/2 PI)) (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 (* 2/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 2/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) 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 (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) 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 (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]backup-simplify: Simplify (- (/ 1 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) (+ (* (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into (* 4/3 (/ 1 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) * [misc]backup-simplify: Simplify (- (/ (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (+ (* (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) b) (/ (* 4/3 (/ 1 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))))) into (- (* 5/3 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 5/3 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 5/3 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (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 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (* 2/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 2/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log (* 1/2 PI)) (log a))))))) 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 (/ (+ (* -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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (/ PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) (+ (* (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) (/ (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (* (* 4/3 (/ 1 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (/ (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into (* 5/9 (/ 1 (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b))) * [misc]backup-simplify: Simplify (- (/ (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (+ (* (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) b) (/ (* 5/9 (/ 1 (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) (* (- (* 5/3 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 2)))) (/ (* 4/3 (/ 1 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (/ b (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))))) into (* 14/9 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 14/9 (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 14/9 in b * [misc]backup-simplify: Simplify 14/9 into 14/9 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (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 (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (* 2/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 2/3 (- (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 (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))) 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 (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a)))))) 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (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 (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (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 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log (* 1/2 PI)) (log a)))))))) 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 (/ (+ (* 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 (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 1/2 PI)) (log a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (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 1) (+ (* (exp (* 2/3 (- (log (* 1/2 PI)) (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 (/ (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in b * [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 (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (* PI a))) into (log (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* PI a)))) into (* 1/3 (log (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI a))))) into (pow (* 1/2 (* PI a)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 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 (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in b * [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 (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (log (* 1/2 (* PI a))) into (log (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* PI a)))) into (* 1/3 (log (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI a))))) into (pow (* 1/2 (* PI a)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (* 1/2 (* PI a)) 1/3)) into (pow (/ 1 (* PI (* a 1/2))) 1/3) * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* PI a)) 1/3) (pow (/ 1 (* PI (* a 1/2))) 1/3)) into (pow (/ (* (pow PI 2) (* (pow a 2) 1/2)) 2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 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 (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (- (* 1/2 (* PI b))) 1/3)) into (pow (/ 1 (* -1/2 (* PI b))) 1/3) * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* PI b))) 1/3) (pow (/ 1 (* -1/2 (* PI b))) 1/3)) into (pow (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) 1/3) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 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 (cbrt (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* PI b) 2) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI 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 (* 1/3 (log (- (* 1/2 (* PI b))))) into (* 1/3 (log (- (* 1/2 (* PI b))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) into (pow (- (* 1/2 (* PI b))) 1/3) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (pow (- (* 1/2 (* PI b))) 1/3)) into (pow (/ 1 (* -1/2 (* PI b))) 1/3) * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* PI b))) 1/3) (pow (/ 1 (* -1/2 (* PI b))) 1/3)) into (pow (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2)) in b * [misc]taylor: Taking taylor expansion of (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) in b * [misc]taylor: Taking taylor expansion of (* -1/2 (* (pow PI 2) (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 (* (pow PI 2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of -2 in b * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) * [misc]backup-simplify: Simplify (* -1/2 (pow PI 2)) into (* -1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* -1/2 (pow PI 2)) -2) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))) into (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) into (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/4 (pow PI 2)) (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (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)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) (pow (- (* 1/2 (* PI b))) 1/3)) (+ (* (pow (/ 1 (* -1/2 (* PI b))) 1/3) (/ (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) (pow (- (* 1/2 (* PI b))) 1/3))))) into (+ (pow (/ 1 (* -1/2 (* (pow b 4) PI))) 1/3) (* 1/3 (pow (/ -2 (* PI (pow b 4))) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) (pow (/ 1 (* -1/2 (* PI b))) 1/3)) (+ (* (pow (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) 1/3) (/ (+ (pow (/ 1 (* -1/2 (* (pow b 4) PI))) 1/3) (* 1/3 (pow (/ -2 (* PI (pow b 4))) 1/3))) (pow (/ 1 (* -1/2 (* PI b))) 1/3))))) into (- (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3))) in b * [misc]taylor: Taking taylor expansion of (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3)) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow PI 2) 1/4) b) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow PI 2) 1/4) b)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow PI 2) 1/4) b))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (pow PI 2) 1/4) b)) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) 1/4) b) in b * [misc]taylor: Taking taylor expansion of (* (pow PI 2) 1/4) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of 1/4 in b * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/4) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* 1/4 (pow PI 2)) 1) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))) into (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) into (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (pow PI 2))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))))) 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 PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/4 (pow PI 2)) (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (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 (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* PI b))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* PI b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* PI b))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* PI b))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* PI b))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* PI b)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (* 1/2 (* PI b))) 1/3)) (+ (* (pow (/ 1 (* -1/2 (* PI b))) 1/3) (/ (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) (pow (- (* 1/2 (* PI b))) 1/3))) (* (+ (pow (/ 1 (* -1/2 (* (pow b 4) PI))) 1/3) (* 1/3 (pow (/ -2 (* PI (pow b 4))) 1/3))) (/ (* -1/3 (pow (/ (* -1/2 PI) (pow b 2)) 1/3)) (pow (- (* 1/2 (* PI b))) 1/3))))) into (+ (* 2/9 (pow (/ -2 (* PI (pow b 7))) 1/3)) (* 1/3 (pow (/ -2 (* (pow b 7) PI)) 1/3))) * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ (* -1/2 PI) (pow b 5)) 1/3)) (pow (/ 1 (* -1/2 (* PI b))) 1/3)) (+ (* (pow (/ (* -1/2 (* (pow PI 2) (pow b 2))) -2) 1/3) (/ (+ (* 2/9 (pow (/ -2 (* PI (pow b 7))) 1/3)) (* 1/3 (pow (/ -2 (* (pow b 7) PI)) 1/3))) (pow (/ 1 (* -1/2 (* PI b))) 1/3))) (* (- (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3))) (/ (+ (pow (/ 1 (* -1/2 (* (pow b 4) PI))) 1/3) (* 1/3 (pow (/ -2 (* PI (pow b 4))) 1/3))) (pow (/ 1 (* -1/2 (* PI b))) 1/3))))) into (* 14/9 (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 14/9 (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3)) in b * [misc]taylor: Taking taylor expansion of 14/9 in b * [misc]backup-simplify: Simplify 14/9 into 14/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow PI 2) 1/4) (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow PI 2) 1/4) (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (pow PI 2) 1/4) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) 1/4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (* (pow PI 2) 1/4) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of 1/4 in b * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (* (pow PI 2) 1/4) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* 1/4 (pow PI 2)) 1) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (* 4 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b)))) into (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) into (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (* 4 (log b))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/9 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (pow PI 2))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))))))) 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 PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* 1/4 (pow PI 2)) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (pow PI 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (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 (/ (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in b * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in b * [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 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* PI a)))) into (log (- (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* PI a))))) into (* 1/3 (log (- (* 1/2 (* PI a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI a)))))) into (pow (- (* 1/2 (* PI a))) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 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 (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in b * [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 PI) 2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* PI a)))) into (log (- (* 1/2 (* PI a)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* PI a))))) into (* 1/3 (log (- (* 1/2 (* PI a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* PI a)))))) into (pow (- (* 1/2 (* PI a))) 1/3) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (pow (- (* 1/2 (* PI a))) 1/3)) into (* -1 (pow (/ 1 (* -1/2 (* PI a))) 1/3)) * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* PI a))) 1/3) (* -1 (pow (/ 1 (* -1/2 (* PI a))) 1/3))) into (* -1 (pow (/ (* -1/2 (* (pow PI 2) (pow a 2))) -2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 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 (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (pow (* 1/2 (* PI b)) 1/3)) into (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)) * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* PI b)) 1/3) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3))) into (* -1 (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 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 (cbrt (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Rewrote expression to (pow (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) 2) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) 2) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI 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 (* 1/3 (log (* 1/2 (* PI b)))) into (* 1/3 (log (* 1/2 (* PI b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* PI b))))) into (pow (* 1/2 (* PI b)) 1/3) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (pow (* 1/2 (* PI b)) 1/3)) into (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)) * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* PI b)) 1/3) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3))) into (* -1 (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1 (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) in b * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (* (pow b 2) 1/2)) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of (* (pow b 2) 1/2) in b * [misc]taylor: Taking taylor expansion of (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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/2) into (* 1/2 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow PI 2)) 2) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))) into (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) into (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 (pow PI 2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* PI b)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* PI b))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* PI b)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* PI b))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (pow (* 1/2 (* PI b)) 1/3)) (+ (* (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)) (/ (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) (pow (* 1/2 (* PI b)) 1/3))))) into (- (+ (pow (/ 2 (* (pow b 4) PI)) 1/3) (* 1/3 (pow (/ 2 (* PI (pow b 4))) 1/3)))) * [misc]backup-simplify: Simplify (- (/ (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3))) (+ (* (* -1 (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3)) (/ (- (+ (pow (/ 2 (* (pow b 4) PI)) 1/3) (* 1/3 (pow (/ 2 (* PI (pow b 4))) 1/3)))) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)))))) into (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3)) * [misc]taylor: Taking taylor expansion of (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3)) in b * [misc]taylor: Taking taylor expansion of 5/3 in b * [misc]backup-simplify: Simplify 5/3 into 5/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow PI 2) 1/4) b) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow PI 2) 1/4) b)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow PI 2) 1/4) b))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (pow PI 2) 1/4) b)) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) 1/4) b) in b * [misc]taylor: Taking taylor expansion of (* (pow PI 2) 1/4) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of 1/4 in b * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/4) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* 1/4 (pow PI 2)) 1) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))) into (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) into (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (pow PI 2))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 (pow PI 2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* PI b)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* PI b)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* PI b)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* PI b)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* PI b)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* PI b)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* PI b))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]backup-simplify: Simplify (- (/ 0 (pow (* 1/2 (* PI b)) 1/3)) (+ (* (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)) (/ (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) (pow (* 1/2 (* PI b)) 1/3))) (* (- (+ (pow (/ 2 (* (pow b 4) PI)) 1/3) (* 1/3 (pow (/ 2 (* PI (pow b 4))) 1/3)))) (/ (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) (pow (* 1/2 (* PI b)) 1/3))))) into (- (+ (* 1/3 (pow (/ 2 (* (pow b 7) PI)) 1/3)) (* 2/9 (pow (/ 2 (* PI (pow b 7))) 1/3)))) * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3))) (+ (* (* -1 (pow (/ (* (pow PI 2) (* (pow b 2) 1/2)) 2) 1/3)) (/ (- (+ (* 1/3 (pow (/ 2 (* (pow b 7) PI)) 1/3)) (* 2/9 (pow (/ 2 (* PI (pow b 7))) 1/3)))) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)))) (* (* 5/3 (pow (/ (* (pow PI 2) 1/4) b) 1/3)) (/ (- (+ (pow (/ 2 (* (pow b 4) PI)) 1/3) (* 1/3 (pow (/ 2 (* PI (pow b 4))) 1/3)))) (* -1 (pow (/ 1 (* PI (* b 1/2))) 1/3)))))) into (- (* 14/9 (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 14/9 (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3))) in b * [misc]taylor: Taking taylor expansion of (* 14/9 (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3)) in b * [misc]taylor: Taking taylor expansion of 14/9 in b * [misc]backup-simplify: Simplify 14/9 into 14/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow PI 2) 1/4) (pow b 4)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow PI 2) 1/4) (pow b 4))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow PI 2) 1/4) (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* (pow PI 2) 1/4) (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) 1/4) (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (* (pow PI 2) 1/4) in b * [misc]taylor: Taking taylor expansion of (pow PI 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log 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 (log PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of 1/4 in b * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (* (pow PI 2) 1/4) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (* 1/4 (pow PI 2)) 1) into (* 1/4 (pow PI 2)) * [misc]backup-simplify: Simplify (log (* 1/4 (pow PI 2))) into (log (* 1/4 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (* 4 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b)))) into (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) into (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (* 4 (log b))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/9 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (* 4 (log b))))))) 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 PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/4 (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (* 1/4 (pow PI 2)))) into (- (log (* 1/4 (pow PI 2))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (pow PI 2))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/4 (pow PI 2))) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/4 (pow PI 2)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/4 (pow PI 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/4 (pow PI 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/4 (pow PI 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log b)) (log (* 1/4 (pow PI 2)))) into (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))) (+ (* (/ (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 (* 1/3 (+ (* 2 (log b)) (log (* 1/4 (pow PI 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 2 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (log1p (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 3 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 6 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (exp (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 7 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 8 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 9 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 10 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 11 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 12 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ PI b) (* a -2) (* 2 PI))) * [exit]simplify: Simplified to (cbrt (fma (/ PI b) (* a -2) (* 2 PI))) * [enter]simplify: Simplifying (cbrt (* (* a 2) 2)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (* 4 a)) * [exit]simplify: Simplified to (cbrt (* 4 a)) * * * * [misc]progress: [ 13 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) * [enter]simplify: Simplifying (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ PI 2) b) (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (/ PI (* 2 a)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (fma (/ (/ PI 2) b) (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (/ PI (* 2 a)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 14 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (* (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) * * * * [misc]progress: [ 15 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 16 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * * * * [misc]progress: [ 17 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 18 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 20 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (log1p (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 21 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 24 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (exp (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 25 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 26 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 27 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 28 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 29 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 30 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ PI b) (* a -2) (* 2 PI))) * [exit]simplify: Simplified to (cbrt (fma (/ PI b) (* a -2) (* 2 PI))) * [enter]simplify: Simplifying (cbrt (* (* a 2) 2)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (* 4 a)) * [exit]simplify: Simplified to (cbrt (* 4 a)) * * * * [misc]progress: [ 31 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) * [enter]simplify: Simplifying (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (cbrt (fma (/ (/ PI 2) b) (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (/ PI (* 2 a)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (fma (/ (/ PI 2) b) (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (/ PI (* 2 a)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 32 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (* (+ (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) * * * * [misc]progress: [ 33 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 34 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * * * * [misc]progress: [ 35 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 36 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (expm1 (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 38 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (log1p (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 39 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (log (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 42 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (exp (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 43 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 44 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 45 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 46 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI 2) a)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI 2) a)))) * [enter]simplify: Simplifying (cbrt (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI b) 2)))) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI b) 2)))) * * * * [misc]progress: [ 47 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 48 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ PI a) b) (* 2 (/ PI 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (fma b (/ PI a) (- PI))) * [exit]simplify: Simplified to (cbrt (fma b (/ PI a) (- PI))) * [enter]simplify: Simplifying (cbrt (* 2 b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* b 2)) * [exit]simplify: Simplified to (cbrt (* b 2)) * * * * [misc]progress: [ 49 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ (/ PI a) 2) 3) (pow (/ (/ PI 2) b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (cbrt (fma (* (/ (/ PI b) 4) (- (/ PI b))) (/ (/ PI b) 2) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) * [exit]simplify: Simplified to (cbrt (fma (* (/ (/ PI b) 4) (- (/ PI b))) (/ (/ PI b) 2) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) * [enter]simplify: Simplifying (cbrt (+ (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (+ (* (/ (/ PI 2) b) (/ (/ PI 2) b)) (* (/ (/ PI a) 2) (/ (/ PI 2) b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ PI b) 4) (+ (/ PI b) (/ PI a))) (/ (* (/ PI a) (/ PI a)) 4))) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ PI b) 4) (+ (/ PI b) (/ PI a))) (/ (* (/ PI a) (/ PI a)) 4))) * * * * [misc]progress: [ 50 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (* (/ (/ PI 2) b) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ (/ PI 2) a) (/ (/ PI b) 2)) (- (/ (/ PI 2) a) (/ (/ PI b) 2)))) * [exit]simplify: Simplified to (cbrt (* (+ (/ (/ PI 2) a) (/ (/ PI b) 2)) (- (/ (/ PI 2) a) (/ (/ PI b) 2)))) * [enter]simplify: Simplifying (cbrt (+ (/ (/ PI a) 2) (/ (/ PI 2) b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI b) 2) (/ PI (* 2 a)))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ PI b) 2) (/ PI (* 2 a)))) * * * * [misc]progress: [ 51 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 52 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ PI (* 2 b))) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ PI (* 2 b))) * * * * [misc]progress: [ 53 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI 2) a) (/ PI (* 2 b))))) * * * * [misc]progress: [ 54 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (expm1 (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (expm1 (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 56 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (log1p (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (log1p (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 57 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (- (log (+ b a)) (log (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (- (log (+ a b)) (log (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (- (log (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (- (log (+ a b)) (log (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 59 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (log (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (log (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (- (log (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (log (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 60 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (log (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * * * * [misc]progress: [ 61 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (exp (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (exp (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * * * * [misc]progress: [ 62 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (/ (* (* (+ b a) (+ b a)) (+ b a)) (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) (/ (* (+ a b) (+ a b)) (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) (/ (* (+ a b) (+ a b)) (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 63 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (* (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (/ (* (+ a b) (+ a b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (/ (* (+ a b) (+ a b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 64 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) (cbrt (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 65 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (+ a b))) (/ (+ a b) (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (+ a b))) (/ (+ a b) (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 66 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 67 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (- (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (- (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (+ a b)) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (- (+ a b)) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 68 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 69 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 70 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (+ a b))) (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (+ a b))) (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * * * * [misc]progress: [ 71 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 72 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 73 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 74 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 75 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * * * * [misc]progress: [ 76 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 77 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 78 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * * * * [misc]progress: [ 79 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 80 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 81 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 82 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 83 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * * * * [misc]progress: [ 84 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 85 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 86 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 87 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 88 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 89 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * * * * [misc]progress: [ 90 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 91 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 92 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 93 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 1)) * * [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 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 94 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 95 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (+ b a)) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 96 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (+ a b) (cbrt (fma (/ PI b) (* -2 a) (* PI 2))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (+ a b) (cbrt (fma (/ PI b) (* -2 a) (* PI 2))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * * * * [misc]progress: [ 97 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (+ a b) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (+ a b) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 98 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (+ a b) (cbrt (* (+ (/ PI (* 2 b)) (/ PI (* 2 a))) (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (+ a b) (cbrt (* (+ (/ PI (* 2 b)) (/ PI (* 2 a))) (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 99 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 100 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 101 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 102 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * * * * [misc]progress: [ 103 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 104 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 105 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 106 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 107 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 108 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 109 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 110 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * * * * [misc]progress: [ 111 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 112 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 113 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 114 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 115 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 116 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 117 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 118 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 119 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 120 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * * * * [misc]progress: [ 121 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 122 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 123 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 124 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 125 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ 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 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 126 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 127 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * * * * [misc]progress: [ 128 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 129 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 130 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 131 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 132 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 133 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 134 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 135 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 136 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 137 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 138 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 139 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 140 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 141 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 142 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 143 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 144 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 145 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 146 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 147 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 148 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 149 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 150 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 151 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI a) 2)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * * * * [misc]progress: [ 152 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 153 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 154 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 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 (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 155 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 156 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 157 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 158 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (* a -2) (/ PI b) (* 2 PI))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (fma (* a -2) (/ PI b) (* 2 PI))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * * * * [misc]progress: [ 159 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * * * * [misc]progress: [ 160 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ (/ PI 2) b) (/ PI (* a 2))) (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ (/ PI 2) b) (/ PI (* a 2))) (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 161 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 162 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 163 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 164 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 165 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 166 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (+ b a))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (+ b a))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 167 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 168 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 169 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (cbrt (+ b a))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 170 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 171 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 172 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 173 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 174 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (sqrt (+ b a))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (sqrt (+ b a))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 175 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 176 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 177 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (sqrt (+ b a))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 178 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 179 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 180 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 181 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 182 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 183 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 184 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 185 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 186 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 187 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 188 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (+ b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a)) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))))) * * * * [misc]progress: [ 189 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (/ (+ b a) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (/ (+ b a) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (* 4 a))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (* 4 a))) * * * * [misc]progress: [ 190 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (/ (* (/ PI b) (/ PI b)) (/ 8 (/ PI b))))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a))) * [exit]simplify: Simplified to (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (/ (* (/ PI b) (/ PI b)) (/ 8 (/ PI b))))) (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (fma (/ PI a) (/ (/ PI a) 4) (* (/ (/ PI b) 4) (+ (/ PI b) (/ PI a)))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (fma (/ PI a) (/ (/ PI a) 4) (* (/ (/ PI b) 4) (+ (/ PI b) (/ PI a)))))) * * * * [misc]progress: [ 191 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a)) (cbrt (* (+ (/ PI (* 2 a)) (/ PI (* 2 b))) (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (+ b a)) (cbrt (* (+ (/ PI (* 2 a)) (/ PI (* 2 b))) (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b)))) (cbrt (+ (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 192 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) (cbrt (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 193 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 194 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 195 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 196 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 197 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 198 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 199 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 200 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 201 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ a b))) (/ 1 (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 202 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 203 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 204 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 205 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 206 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 207 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 208 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 209 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 210 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 211 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 212 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 213 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ (/ PI a) 2)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * * * * [misc]progress: [ 214 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 215 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 216 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 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 (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 217 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 218 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 219 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (+ b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 220 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (* a -2) (/ PI b) (* 2 PI))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (fma (* a -2) (/ PI b) (* 2 PI))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * * * * [misc]progress: [ 221 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * * * * [misc]progress: [ 222 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ (/ PI 2) b) (/ PI (* a 2))) (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ (/ PI 2) b) (/ PI (* a 2))) (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (+ a b)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 223 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 224 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 225 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * * * * [misc]progress: [ 226 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 227 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 228 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 229 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 230 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (+ a b))) * * * * [misc]progress: [ 231 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 232 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 233 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * * * * [misc]progress: [ 234 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 235 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 236 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (* (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (* (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 237 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 238 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * * * * [misc]progress: [ 239 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 240 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 241 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 242 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 243 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 244 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (66 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * * * * [misc]progress: [ 245 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 246 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 247 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 248 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ 1 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 249 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 250 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (+ b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 251 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (fma (/ PI b) (* a -2) (* PI 2))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (fma (/ PI b) (* a -2) (* PI 2))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * * * * [misc]progress: [ 252 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (* (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 253 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (+ (/ PI (* 2 b)) (/ PI (* 2 a))) (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (+ (/ PI (* 2 b)) (/ PI (* 2 a))) (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 254 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 255 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 256 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 257 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 258 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 259 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (/ (cbrt (+ a b)) (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 260 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 261 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 262 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) * * * * [misc]progress: [ 263 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 264 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 265 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 266 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 267 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) * * * * [misc]progress: [ 268 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 269 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (sqrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 270 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * * * * [misc]progress: [ 271 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 272 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 273 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (+ a b) (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 274 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 275 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))))) (+ a b)) * * * * [misc]progress: [ 276 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 277 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 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 (79 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 278 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 279 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 280 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ 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 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 281 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 282 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (fma (* a -2) (/ PI b) (* PI 2))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (* a 4))) * * * * [misc]progress: [ 283 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))))) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b)) (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (fma (/ (/ PI a) 4) (/ PI a) (* (/ (/ PI b) 4) (+ (/ PI a) (/ PI b)))))) * * * * [misc]progress: [ 284 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (* (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 285 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) (cbrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) (cbrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 286 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 287 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 288 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 289 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 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 (27 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 290 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * * * * [misc]progress: [ 291 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 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 (27 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 292 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (+ b a))) (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (+ b a))) (/ (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 293 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 294 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 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 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ b a))) (/ 1 (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ 1 (cbrt (+ b a))) (/ 1 (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (cbrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 295 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 296 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 297 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 298 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ (/ PI a) 2)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ (/ PI a) 2)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 299 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 300 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 301 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 302 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ b a)) 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 (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 303 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 304 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 305 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 306 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * * * * [misc]progress: [ 307 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 308 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 309 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * [exit]simplify: Simplified to (* (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) * * * * [misc]progress: [ 310 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 311 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 312 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 313 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) (* -2 a) (* 2 PI))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) (* -2 a) (* 2 PI))) (+ b a)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* a 4))) * * * * [misc]progress: [ 314 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (/ (* (/ PI b) (/ PI b)) (/ 8 (/ PI b))))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ (/ PI a) (* a a)) (/ PI (/ 8 PI))) (/ (* (/ PI b) (/ PI b)) (/ 8 (/ PI b))))) (+ b a)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ (/ (/ PI a) (/ 4 (/ PI a))) (* (/ PI (* b 4)) (+ (/ PI b) (/ PI a)))))) * * * * [misc]progress: [ 315 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ PI (* 2 b)) (/ (/ PI a) 2)) (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (* (+ (/ PI (* 2 b)) (/ (/ PI a) 2)) (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (+ b a)) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ (/ PI (* 2 b)) (/ PI (* 2 a))))) * * * * [misc]progress: [ 316 / 373 ] simplifiying candidate # * * * * [misc]progress: [ 317 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ b a)) * * * * [misc]progress: [ 318 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 319 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (cbrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) (cbrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 320 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (/ (+ a b) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 321 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 322 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 323 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * * * [misc]progress: [ 324 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a))))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * * * [misc]progress: [ 325 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (cbrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * * * [misc]progress: [ 326 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (+ a b)) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 327 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 328 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (cbrt (+ b a)) (cbrt (+ b a))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * * * [misc]progress: [ 329 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 330 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 331 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 332 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b)))) * * * * [misc]progress: [ 333 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (cbrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 334 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 335 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 336 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (sqrt (+ b a)) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (+ a b))) * * * * [misc]progress: [ 337 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 338 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 339 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 340 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt (+ (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b))))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * * * * [misc]progress: [ 341 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 342 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (* (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (cbrt (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 343 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 344 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ 1 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 345 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI 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 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 346 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 347 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (* PI 2) (* (* a 2) (/ PI b)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (fma (/ PI b) (* -2 a) (* PI 2))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (+ a b) (cbrt (fma (/ PI b) (* -2 a) (* PI 2))))) * * * * [misc]progress: [ 348 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (pow (/ PI (* a 2)) 3) (pow (/ (/ PI b) 2) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * [exit]simplify: Simplified to (* (cbrt (- (* (/ (/ PI a) (* a a)) (/ (* PI PI) 8)) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b))))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b))) * * * * [misc]progress: [ 349 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ (/ PI b) 2) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b)) (cbrt (- (* (/ PI (* 2 a)) (/ PI (* 2 a))) (* (/ PI (* 2 b)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b)) (cbrt (- (* (/ PI (* 2 a)) (/ PI (* 2 a))) (* (/ PI (* 2 b)) (/ PI (* 2 b)))))) * * * * [misc]progress: [ 350 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * * * * [misc]progress: [ 351 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))))) * * * * [misc]progress: [ 352 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 353 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI b) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))))) * * * * [misc]progress: [ 354 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 355 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * * * * [misc]progress: [ 356 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (sqrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (sqrt (cbrt (- (/ PI (* a 2)) (/ PI (* b 2)))))) * * * * [misc]progress: [ 357 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 358 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 359 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (* (* a 2) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* a 4)) (+ a b)) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (cbrt (* a 4)) (+ a b)) (cbrt (- (/ PI (* a 2)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 360 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (/ PI (* a 2)) (/ (/ PI b) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (fma (/ PI (* b 2)) (+ (/ PI (* b 2)) (/ PI (* a 2))) (* (/ PI (* a 2)) (/ PI (* a 2)))))) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) (cbrt (fma (/ PI (* b 2)) (+ (/ PI (* b 2)) (/ PI (* a 2))) (* (/ PI (* a 2)) (/ PI (* a 2)))))) * * * * [misc]progress: [ 361 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (+ (/ PI (* a 2)) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (15 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 (55 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (+ (/ (/ PI 2) b) (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (* (/ (+ a b) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (cbrt (+ (/ (/ PI 2) b) (/ (/ PI a) 2)))) * * * * [misc]progress: [ 362 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (* (+ a b) (- b a)) (exp (fma 1/3 (log (* PI 1/2)) (* -1/3 (log a)))))) * * * * [misc]progress: [ 363 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (- b a)) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b))) (- (* (pow (* PI -1/2) 1/3) (pow (/ 1 b) 1/3)) (fma 1/3 (/ (exp (fma (log (* PI -1/2)) 1/3 (* (log b) 2/3))) a) (* (/ 1/9 (* a a)) (exp (fma 1/3 (log (* PI -1/2)) (* 5/3 (log b)))))))) * * * * [misc]progress: [ 364 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ a b)) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (- b a))) (fma (/ (pow (exp 1/3) (fma (log (/ -1 b)) -5 (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma -2 (log (/ -1 b)) (log (* PI 1/2)))) a) (* (pow (/ -1 b) 1/3) (pow (* PI 1/2) 1/3))))) * * * * [misc]progress: [ 365 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))) (exp (fma (log (* PI 1/2)) 1/3 (* (log a) -1/3)))) (/ (* (- b a) (+ a b)) (cbrt (- (/ (/ PI 2) a) (/ (/ PI b) 2))))) * * * * [misc]progress: [ 366 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (/ (- (* (pow (/ 1 b) 1/3) (pow (* -1/2 PI) 1/3)) (fma 1/9 (/ (exp (fma 1/3 (log (* -1/2 PI)) (* 5/3 (log b)))) (* a a)) (* (/ 1/3 a) (exp (fma (log (* -1/2 PI)) 1/3 (* (log b) 2/3)))))) (* (/ (- b a) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (+ a b) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))))) * * * * [misc]progress: [ 367 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (fma (/ (pow (exp 1/3) (fma -5 (log (/ -1 b)) (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma (log (/ -1 b)) -2 (log (* PI 1/2)))) a) (* (pow (* PI 1/2) 1/3) (pow (/ -1 b) 1/3)))) (* (/ (- b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI b) 2)))) (/ (+ b a) (cbrt (- (/ PI (* 2 a)) (/ (/ PI b) 2)))))) * * * * [misc]progress: [ 368 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (- b a))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (cbrt (* 1/2 PI)) (pow a 1/3))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 369 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (- (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))))) (- b a))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (115 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (/ (- (* (pow (/ 1 b) 1/3) (pow (* -1/2 PI) 1/3)) (fma (/ (exp (fma (log (* -1/2 PI)) 1/3 (* (log b) 2/3))) a) 1/3 (* (/ 1/9 (* a a)) (exp (fma (log (* -1/2 PI)) 1/3 (* (log b) 5/3)))))) (/ (- b a) (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (+ a b)))) * * * * [misc]progress: [ 370 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) (- b a))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (fma -1/9 (/ (pow (exp 1/3) (fma (log (/ -1 b)) -5 (log (* 1/2 PI)))) (* a a)) (fma 1/3 (/ (pow (exp 1/3) (fma (log (/ -1 b)) -2 (log (* 1/2 PI)))) a) (* (pow (/ -1 b) 1/3) (pow (* 1/2 PI) 1/3)))) (/ (- b a) (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (+ a b)))) * * * * [misc]progress: [ 371 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 372 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 373 / 373 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- (/ PI (* a 2)) (/ PI (* 2 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ PI (* 2 b))) * [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) * [exit]simplify: Simplified to (+ a b) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1370 additional inputs, on iter 1 have 6630 / 8000 * * * * [misc]points: Computing exacts on every 85 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 42 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 21 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1370 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1370 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 235 additional inputs, on iter 2 have 7765 / 8000 * * * * [misc]points: Computing exacts on every 14 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 235 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 235 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 46 additional inputs, on iter 3 have 7954 / 8000 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 46 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 4 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs