* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 1 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- b a))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 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)) (* (+ a b) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) 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)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ a 0) 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)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ a 0) 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (+ 0 1) 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 a) (/ 1 b)) (- (/ 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 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 1 0) 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 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 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 (* a PI)) (/ 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 (+ (/ 1 a) 0) 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 (* a PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (* a PI)) (/ 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 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 (- a)) (/ 1 (- b))) (- (/ 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 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ -1 0) 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 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 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 (* a PI)) (/ 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 (+ (/ -1 a) 0) 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 (* a PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (* a PI)) (/ 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ (- (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 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 (* a 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) 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 (* a PI)) (/ 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 (+ (* 0 0) (* 1 PI)) 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 (* a PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (* a PI)) (/ 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 (* a 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* a PI))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (* a PI)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) 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 (* a PI)) (/ 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 (+ (* 0 0) (* 1 PI)) 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 (* a PI)) (/ 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 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (* a PI)) (/ 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 # * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * * * * [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 (+ a b)) (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 (69 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (- b a)) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (- b a)) (log (+ a b)))))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ a b) (- 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 (369 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (* (+ a b) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * * * * [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))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- 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 (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (pow (+ a b) 3) (pow (- b a) 3)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (pow (+ a b) 3) (pow (- b a) 3)) (fma (/ -1 b) (/ PI 2) (/ (/ 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))) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- 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 (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (+ a b) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (+ a b) (- b a))) 3))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * * * * [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)))) (+ a b)) * * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (+ a b) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (+ a b) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)))) * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ a b)) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)))) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) * * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b)) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- 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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- 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)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a))) * * * * [misc]progress: [ 21 / 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 b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))))) * * * * [misc]progress: [ 22 / 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 (* 2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (- (* b b) (* a b))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (- (* b b) (* a b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (+ a b) (fma b (- b a) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a)))) (* (+ a b) (fma b (- b a) (* a a))))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a b) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (fma a (+ b a) (* b b)) (- a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3)))) (* (fma a (+ b a) (* b b)) (- a b)))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a b) (+ 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 (* (- a b) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- (* b b) (* a a)))) (* (- a b) (+ b a)))) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- b a))) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- b a))) (- a b))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 3 1) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ a (cbrt (/ PI 2))))) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 3 1) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (/ (sqrt (/ PI 2)) (/ a (sqrt (/ PI 2))))) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * * * * [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]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- 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 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 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 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: [ 3 / 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 (* a b))) * [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 (* a 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]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 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 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 (* b PI)) (/ 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 (* b PI)) (/ 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 (* b PI)) (/ 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 (* a b))) * [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 (* a 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]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 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]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 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]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 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 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 (* b PI)) (/ 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 (* b PI)) (/ 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 (* b PI)) (/ 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 (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) 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 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) 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 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) 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]backup-simplify: Simplify (* (/ 1 b) (* 1/2 (/ PI b))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (/ 1 (pow b 3)) (* 1/2 (/ PI b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 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 (* a 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]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 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]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 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]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 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (* 1 (* 1/2 (* PI b))) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (* b PI)) (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) (* 1/2 (* PI b)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (* b PI)) (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* (/ 1 (pow b 2)) (* 1/2 (* PI b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 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 (* a 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]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 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]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 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]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 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]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 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 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]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 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (* -1 (* 1/2 (* PI b))) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) 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 (* b PI)) (/ 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) (* 1/2 (* PI b)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (* b PI)) (/ 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) (* 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 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (exp (- (log (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (log (- b a)))))) * * * * [misc]progress: [ 31 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 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) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (cbrt (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) 3)))) * * * * [misc]progress: [ 34 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 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) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (- (/ (/ (/ PI 2) (- b a)) a) (/ (/ PI (* 2 b)) (- b a))))) * * * * [misc]progress: [ 39 / 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)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* a 2)) (/ 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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 40 / 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))) (/ (sqrt (- b a)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (sqrt (- b a)) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))))) (/ (cbrt (- (/ PI (* a 2)) (/ 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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 41 / 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 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* a 2)) (/ 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 (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)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (- b a))))) * * * * [misc]progress: [ 42 / 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)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 43 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (- b a))) (/ (sqrt (- (/ PI (* a 2)) (/ 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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 44 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (sqrt (- (/ PI (* a 2)) (/ 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 (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)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (- b a))))) * * * * [misc]progress: [ 45 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 46 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 47 / 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 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* 1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * [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 (189 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* 1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))))) * * * * [misc]progress: [ 48 / 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 a))) (sqrt (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 49 / 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 a))) (sqrt (/ (/ PI 2) b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (sqrt (- b a))) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a))) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 50 / 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 a))) (sqrt (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (- b 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 (* b 2)))) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* b 2)))) (- b a))))) * * * * [misc]progress: [ 51 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 52 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ 1 (sqrt (- b a))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 53 / 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 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* 1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * [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 (189 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* 1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))))) * * * * [misc]progress: [ 54 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 55 / 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))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ PI (sqrt (- b a))) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (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))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ PI (sqrt (- b a))) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 56 / 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 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (* PI (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (- b a))))) * [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 (203 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* PI (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 57 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))))) * * * * [misc]progress: [ 61 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) (sqrt (- b a))))) * * * * [misc]progress: [ 62 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) (- b a)))) * * * * [misc]progress: [ 63 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (/ (- b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))))) * * * * [misc]progress: [ 64 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 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 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (- b a) (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))))) * * * * [misc]progress: [ 65 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (+ (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (/ (- b a) (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))))))) * * * * [misc]progress: [ 67 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))))) * * * * [misc]progress: [ 70 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ 1 (+ a b)) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (+ a b)))) * * * * [misc]progress: [ 71 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI (* 2 b)) (* (* a 2) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (* PI 2) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (* (* PI 2) (- b a)) (* (- b a) (* (* a 2) (* 2 b)))))) * * * * [misc]progress: [ 72 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ PI (* a 2)) 3) (pow (/ PI (* 2 b)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (fma (/ (- PI) (* b 2)) (* (/ PI (* b 2)) (/ PI (* b 2))) (* (/ (* PI PI) (* 2 a)) (/ (/ PI a) (* 4 a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (fma (/ (- PI) (* b 2)) (* (/ PI (* b 2)) (/ PI (* b 2))) (* (/ (* PI PI) (* 2 a)) (/ (/ PI a) (* 4 a)))) (* (- b a) (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ PI (* 2 b)) (/ PI (* 2 b))) (* (/ PI (* a 2)) (/ PI (* 2 b))))))))) * * * * [misc]progress: [ 73 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI (* a 2)) (/ PI (* a 2))) (* (/ PI (* 2 b)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ (/ (/ PI 2) b) (/ PI (* 2 a)))) (* (- b a) (+ (/ PI (* a 2)) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 74 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ a b)) (/ (- (/ 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 (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 77 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ a b))) (- (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 (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ b a)))))) * * * * [misc]progress: [ 79 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ a b))) (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 (260 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ b a)))))) * * * * [misc]progress: [ 80 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ a b))) (- (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 (86 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 81 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ a b))) (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 (108 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 82 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (/ (* (* (- (/ 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 (+ a b)) (* (+ a b) (+ a b))) (pow (- b a) 3)) (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (/ (/ 1 (+ a b)) (* (+ a b) (+ a b))) (pow (- b a) 3)) (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 3)))) * * * * [misc]progress: [ 85 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (* (* (/ (- (/ 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 (* 2 a)) (/ PI (* b 2))) (- b a)) (/ (/ 1 (+ a b)) (* (+ a b) (+ a b)))) (* (/ (- (/ PI (* 2 a)) (/ PI (* b 2))) (- b a)) (/ (- (/ PI (* 2 a)) (/ PI (* b 2))) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ PI (* 2 a)) (/ PI (* b 2))) (- b a)) (/ (/ 1 (+ a b)) (* (+ a b) (+ a b)))) (* (/ (- (/ PI (* 2 a)) (/ PI (* b 2))) (- b a)) (/ (- (/ PI (* 2 a)) (/ PI (* b 2))) (- b a)))))) * * * * [misc]progress: [ 86 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 135 ] simplifiying candidate # * * * * [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 (139 enodes) * [exit]simplify: Simplified to (- (/ PI (* a 2)) (/ PI (/ b 1/2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (/ PI (* a 2)) (/ PI (/ b 1/2))) (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (* (+ a b) (- 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 (* (+ b a) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (- (/ PI (* a 2)) (/ PI (/ b 1/2))) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 90 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 135 ] simplifiying candidate # * [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 (191 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))))) * * * * [misc]progress: [ 92 / 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 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a))))) * * * * [misc]progress: [ 93 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- b a))))) * * * * [misc]progress: [ 94 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (- b a))))) * * * * [misc]progress: [ 95 / 135 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1)) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (- b a)))) * * * * [misc]progress: [ 96 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- b a))))) * * * * [misc]progress: [ 97 / 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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (- b a)))) (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (sqrt (- b a))))) * * * * [misc]progress: [ 98 / 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 (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)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1)) (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (- b a)))) * * * * [misc]progress: [ 99 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 100 / 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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 (sqrt (- b a)))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 101 / 135 ] simplifiying candidate # * [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 (189 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 1)) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)))) * * * * [misc]progress: [ 102 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (cbrt (- b a))))) * * * * [misc]progress: [ 103 / 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 (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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (- b a)))) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ (/ PI 2) b))) (sqrt (- b a))))) * * * * [misc]progress: [ 104 / 135 ] simplifiying candidate # * [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 (* b 2)))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1)) (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* b 2)))) (- b a)))) * * * * [misc]progress: [ 105 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))))) * * * * [misc]progress: [ 106 / 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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 (sqrt (- b a)))) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))))) * * * * [misc]progress: [ 107 / 135 ] simplifiying candidate # * [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 (189 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ 1 1)) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)))) * * * * [misc]progress: [ 108 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI (* (cbrt (- b a)) (cbrt (- b a))))) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (- b a))))) * * * * [misc]progress: [ 109 / 135 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI (sqrt (- b a)))) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (- b a))))) * * * * [misc]progress: [ 110 / 135 ] simplifiying candidate # * [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 (203 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 111 / 135 ] simplifiying candidate # * [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 (189 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) 1) (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- b a)))) * * * * [misc]progress: [ 112 / 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)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (/ 1 (- b a)))) * * * * [misc]progress: [ 113 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 114 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 115 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (* (cbrt (/ 1 (+ a b))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * * * [misc]progress: [ 116 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ 1 (+ a b))) (* (sqrt (/ 1 (+ a b))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * * * [misc]progress: [ 117 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (fma b (* b b) (pow a 3))) (* (+ (* a a) (- (* b b) (* a b))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * * * [misc]progress: [ 120 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (+ a b)) (- a b)) (* (- a b) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a))))) * * * * [misc]progress: [ 121 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ 1 (+ a b)) (- (/ PI (* a 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) 1/2) (/ (/ PI b) 2)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 123 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a)))) * * * * [misc]progress: [ 125 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a)))) * * * * [misc]progress: [ 126 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a)))) * * * * [misc]progress: [ 127 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI b) 1/2) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (* (/ PI b) 1/2)) (- b a)))) * * * * [misc]progress: [ 128 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI b) 1/2) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (* (/ PI b) 1/2)) (- b a)))) * * * * [misc]progress: [ 129 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI b) 1/2) * [misc]simplify: Simplified (2 2 1 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (* (/ PI b) 1/2)) (- b a)))) * * * * [misc]progress: [ 130 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ PI b) (/ a 1/2)))) * * * * [misc]progress: [ 131 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ PI b) (/ a 1/2)))) * * * * [misc]progress: [ 132 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (/ PI b) (/ a 1/2)))) * * * * [misc]progress: [ 133 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 134 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 135 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- a))) into (/ PI a) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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) 1/2) (/ (/ PI b) 2)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [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) 1/2) (/ (/ PI b) 2)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [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 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/2)) 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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/2))) 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 (- 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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) 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 (- 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 (* a b))) * [misc]approximate: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 (* a 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 (/ (/ 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]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* (* a PI) 1/2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 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 (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 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 (/ 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 (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b 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 (- (+ (* (/ 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (* a b))) * [misc]approximate: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 (* a 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 (/ (/ 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]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* (* -1 (* a PI)) 1/2) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -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 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -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 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (- 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 (* b PI)) (/ (- (/ 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 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 1/2)) 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 (* b PI)) (/ 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 (- 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 (* b PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 1/2))) 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 (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (* PI b)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (* b PI)) (/ 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 (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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 (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI a)) a) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [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 (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI a) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [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 (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/2)) 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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/2))) 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 (- 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 1 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 (* a 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 (/ (/ 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]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* (* a PI) 1/2) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 a)) 1/2) (/ (/ PI (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 a)) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* b PI) 2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b PI)) (/ 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 (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) 1)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* b PI) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* b 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 (- (+ (* (/ 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ (/ 1 b) 1)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 (* a 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 (/ (/ 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]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* (* -1 (* a PI)) 1/2) into (* -1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -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 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ PI (/ 1 (- a))) 1/2) (/ (/ PI (/ 1 (- b))) 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ PI (/ 1 (- a))) 1/2) 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 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* b PI)) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (* -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 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 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 PI) 1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (- 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 (* b PI)) (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 1/2)) 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 (* b PI)) (/ 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 (- 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 (* b PI)) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* 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 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (log (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (log (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (log (- b a)))) (+ a b))) * * * * [misc]progress: [ 29 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (pow (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) 3)) (+ a b))) * * * * [misc]progress: [ 32 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (/ PI a) 1/2) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* 1/2 PI) (* (- b a) a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (- (/ (* 1/2 PI) (* (- b a) a)) (/ (/ (/ PI b) 2) (- b a))) (+ a b))) * * * * [misc]progress: [ 37 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (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 (55 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 38 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (sqrt (- b a)) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (sqrt (- b a)) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) (/ (cbrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 39 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b))) (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b))) (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))) (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b))) (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))) (+ a b))) * * * * [misc]progress: [ 40 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 41 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 42 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 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 (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))) (+ a b))) * * * * [misc]progress: [ 43 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (cbrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 44 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a)))) (+ a b))) * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (- b a))) (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (sqrt (- b a)))) (+ a b))) * * * * [misc]progress: [ 45 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* 1 (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b))) * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b))) * * * * [misc]progress: [ 46 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))) (+ a b))) * * * * [misc]progress: [ 50 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (sqrt (- b a))) (+ a b))) * * * * [misc]progress: [ 51 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) 1) (- b a)) (+ a b))) * * * * [misc]progress: [ 52 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 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 a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (/ (- b a) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))))) (+ a b))) * * * * [misc]progress: [ 53 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 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 (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (- b a) (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))))) (+ a b))) * * * * [misc]progress: [ 54 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))) (+ a b))) * * * * [misc]progress: [ 56 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) (+ a b)) (+ a b))) * * * * [misc]progress: [ 57 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* PI 1/2) 2) (* a (/ PI b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (fma (/ PI b) (- a) PI) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (fma (/ PI b) (- a) PI) (* (- b a) (* a 2))) (+ a b))) * * * * [misc]progress: [ 58 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (/ PI a) 1/2) 3) (pow (/ (/ PI b) 2) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (- (* (/ (* 1/8 PI) a) (* (/ PI a) (/ PI a))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (- (* (/ (* 1/8 PI) a) (* (/ PI a) (/ PI a))) (* (/ (/ PI b) 8) (* (/ PI b) (/ PI b)))) (* (- b a) (+ (* (* (/ PI a) 1/2) (* (/ PI a) 1/2)) (+ (* (/ (/ PI b) 2) (/ (/ PI b) 2)) (* (* (/ PI a) 1/2) (/ (/ PI b) 2)))))) (+ a b))) * * * * [misc]progress: [ 59 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ PI a) 1/2) (* (/ PI a) 1/2)) (* (/ (/ 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 (90 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * [exit]simplify: Simplified to (- (* 1/4 (* (/ PI a) (/ PI a))) (/ (* (/ PI b) (/ PI b)) 4)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (- (* 1/4 (* (/ PI a) (/ PI a))) (/ (* (/ PI b) (/ PI b)) 4)) (* (- b a) (+ (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (+ a b))) * * * * [misc]progress: [ 60 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (log (- b a))) (log (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (log (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 64 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (log (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (- (log (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 65 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (* (- b a) (- b a)) (- b a))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- (* (/ PI a) 1/2) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- (* (/ PI a) 1/2) (/ PI (* 2 b))))))) * * * * [misc]progress: [ 68 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (pow (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))) 3))) * * * * [misc]progress: [ 69 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (/ PI a) 1/2) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) (- b a)) (/ (+ a b) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (- (/ (/ (/ PI a) (- b a)) (/ (+ a b) 1/2)) (/ (/ (/ (/ PI b) 2) (- b a)) (+ a b)))) * * * * [misc]progress: [ 74 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (cbrt (+ a b))) (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (cbrt (+ a b))) (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (cbrt (+ a b)))) (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 75 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (sqrt (+ a b))) (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (sqrt (+ a b))) (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a)))) (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) (sqrt (+ a b))) (/ (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 76 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a)))) (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a))) (cbrt (/ (- (/ 1/2 (/ a PI)) (/ PI (* 2 b))) (- b a)))) (/ (cbrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (+ a b)))) * * * * [misc]progress: [ 77 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [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 (95 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (cbrt (+ a b))))) * * * * [misc]progress: [ 78 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))) (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI b) 2)) (- b a))) (sqrt (+ a b))))) * * * * [misc]progress: [ 79 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a))) (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (* (/ PI a) 1/2) (/ PI (* 2 b))) (- b a))) (/ (sqrt (/ (- (* (/ 1/2 a) PI) (/ PI (* 2 b))) (- b a))) (+ a b)))) * * * * [misc]progress: [ 80 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 81 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (+ a b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (+ a b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 82 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))) (/ (cbrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 83 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (* (sqrt (- b a)) (cbrt (+ a b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (* (sqrt (- b a)) (cbrt (+ a b)))))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 84 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (/ (* (sqrt (- b a)) (sqrt (+ a b))) (cbrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) (sqrt (+ a b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 85 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (- b a)))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (- b a)))) (/ (cbrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 86 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b)))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI b) 2))) (cbrt (+ a b)))) (/ (cbrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 87 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (+ a b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (+ a b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (+ a b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (/ (cbrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 88 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) 1) 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 (57 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b)))) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b)))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 89 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 90 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ a b))))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 91 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 92 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 93 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (sqrt (+ a b))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 94 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) 1) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (sqrt (- (/ (* 1/2 PI) a) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 95 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 96 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (+ a b))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (sqrt (+ a b))) (/ (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 97 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) 1) 1) * * [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 (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (- (/ (* 1/2 PI) a) (/ PI (* 2 b)))) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 98 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (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))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 99 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) * * [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))) (* (cbrt (- b a)) (sqrt (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (* (cbrt (- b a)) (sqrt (+ b a)))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (sqrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (+ a b))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 100 / 154 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 101 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [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)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 102 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (+ a b))) * * [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))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (- b a))) (sqrt (+ a b))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 103 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a))) (+ a b)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 104 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))))) * * * * [misc]progress: [ 105 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ b a))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ b a))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))))) * * * * [misc]progress: [ 106 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 107 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))))) * * * * [misc]progress: [ 108 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))))) * * * * [misc]progress: [ 109 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 1 (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 110 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (* (/ PI a) 1/2) (/ (/ PI 2) b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 (- b a)) (cbrt (+ b a))))) * * * * [misc]progress: [ 111 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (* 1/2 PI) a) (/ PI (* 2 b))) (sqrt (+ a b))) (/ (/ 1 (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (sqrt (+ b a))))) * * * * [misc]progress: [ 112 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (/ PI (* a 2)) (/ (/ PI b) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- (/ PI (* a 2)) (/ (/ PI b) 2)) (/ (/ 1 (- b a)) (+ a b)))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (+ a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (/ 1 (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (- (/ PI (* a 2)) (/ (/ PI b) 2)) (/ 1 (* (- b a) (+ b a))))) * * * * [misc]progress: [ 113 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (fma a (+ b a) (* b b)) (cbrt (+ b a))))) * * * * [misc]progress: [ 114 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (fma (- a) (* a a) (pow b 3)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (* (fma (- a) (* a a) (pow b 3)) (sqrt (+ a b)))) (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) (sqrt (+ a b))) (/ (fma a (+ b a) (* b b)) (sqrt (+ b a))))) * * * * [misc]progress: [ 115 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (- (* 1/2 (/ PI a)) (/ (/ PI b) 2)) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (* 1/2 (/ PI a)) (/ (/ PI b) 2)) (fma (* a a) (- a) (pow b 3))) (/ (+ (* b b) (+ (* a a) (* b a))) (+ a b)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (+ a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) 1) (/ (fma a (+ b a) (* b b)) (+ b a)))) * * * * [misc]progress: [ 116 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (* (- b a) (+ a b)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (* (- b a) (+ a b)) (* (cbrt (+ a b)) (cbrt (+ a b))))) (/ (+ b a) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (+ a b) (cbrt (+ a b))))) * * * * [misc]progress: [ 117 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (sqrt (+ a b)) (- (* b b) (* a a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (sqrt (+ a b)) (- (* b b) (* a a)))) (/ (+ b a) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) (sqrt (+ a b))) (/ (+ a b) (sqrt (+ a b))))) * * * * [misc]progress: [ 118 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (/ (- (/ (* 1/2 PI) a) (/ (/ PI b) 2)) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (* 1/2 PI) a) (/ (/ PI b) 2)) (- (* b b) (* a a))) (/ (+ b a) (+ a b)))) * [enter]simplify: Simplifying (/ (+ b a) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ (* 1/2 PI) a) (/ (/ PI b) 2)) (- (* b b) (* a a))) (/ (+ a b) (+ a b)))) * * * * [misc]progress: [ 119 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a)))) * * * * [misc]progress: [ 123 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (sqrt (+ a b))) (sqrt (+ b a)))) * * * * [misc]progress: [ 124 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) 1) (+ b a))) * * * * [misc]progress: [ 125 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI 2) b)) (- b a))) (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI 2) b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI 2) b)) (- b a))) (cbrt (/ (- (* PI (/ 1/2 a)) (/ (/ PI 2) b)) (- b a)))) (/ (+ a b) (cbrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))))) * * * * [misc]progress: [ 126 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (- (* PI (/ 1/2 a)) (/ PI (* 2 b))) (- b a))) (/ (+ a b) (sqrt (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)))))) * * * * [misc]progress: [ 127 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (* (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 (55 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a))) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (cbrt (- b a)))) (/ (+ a b) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))))) * * * * [misc]progress: [ 128 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (sqrt (- b a)) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (/ (sqrt (- b a)) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))))) (/ (+ a b) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a)))))) * * * * [misc]progress: [ 129 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b))) (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b))) (cbrt (- (/ PI (/ a 1/2)) (/ (/ PI 2) b)))) (/ (+ a b) (/ (cbrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))))) * * * * [misc]progress: [ 130 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (+ a b) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (cbrt (- b a)))))) * * * * [misc]progress: [ 131 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (/ PI (/ a 1/2)) (/ PI (* 2 b)))) (sqrt (- b a))) (/ (+ a b) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (sqrt (- b a)))))) * * * * [misc]progress: [ 132 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (/ (+ a b) (/ (sqrt (- (* (/ PI a) 1/2) (/ (/ PI b) 2))) (- b a))))) * * * * [misc]progress: [ 133 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (+ a b) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (cbrt (- b a)))))) * * * * [misc]progress: [ 134 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ 1 (sqrt (- b a))) (/ (+ a b) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (sqrt (- b a)))))) * * * * [misc]progress: [ 135 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b) (/ 1 (/ (+ a b) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a))))) * * * * [misc]progress: [ 136 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (/ (+ a b) (/ 1 (- b a))))) * * * * [misc]progress: [ 138 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (/ a 1/2)) (/ (/ PI b) 2)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI (/ a 1/2)) (/ (/ PI b) 2)) (fma (- a) (* a a) (pow b 3))) (/ (+ a b) (+ (* b b) (+ (* a a) (* b a)))))) * * * * [misc]progress: [ 139 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (/ a 1/2)) (/ PI (* 2 b))) (- (* b b) (* a a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ PI (/ a 1/2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (/ (+ a b) (+ b a)))) * * * * [misc]progress: [ 140 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 141 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (- (* a a) (* b b))) (- a b))) * * * * [misc]progress: [ 142 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 143 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 144 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 145 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 146 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 147 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 148 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b) (/ (/ (- (* (/ PI a) 1/2) (/ (/ PI b) 2)) (- b a)) (+ a b))) * * * * [misc]progress: [ 149 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 150 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 151 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (/ a 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ PI b) (/ a 1/2)) (+ a b))) * * * * [misc]progress: [ 152 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 153 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 154 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* (/ 1 b) PI) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 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 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) PI)) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (/ 1 (pow b 3)) PI))) 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]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) PI)) 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* (/ 1 (pow b 2)) PI))) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 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 (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) PI))) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* 2 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]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) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1/2 (- a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ a b)) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* (/ 1 b) PI) into (/ PI b) * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1/2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 b) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) PI)) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (* (- (/ PI (pow b 2))) (/ 1/2 b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 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]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* (- (/ 1 (pow b 2))) 0) (* (/ 1 (pow b 3)) PI))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (+ (* (- (/ PI (pow b 2))) 0) (* (/ PI (pow b 3)) (/ 1/2 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]taylor: Taking 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]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 a) 1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) 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 (/ 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 (/ 1 b)) into (* 1/2 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 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) 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 (/ 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 (/ 1 b)) into (* 1/2 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 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI (* 1/2 b)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [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 -1) (+ (* (* 1/2 b) (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) PI)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* (- (/ PI b)) (* 1/2 b))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 b) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* (/ 1 (pow b 2)) PI))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* (- (/ PI b)) 0) (* (/ PI (pow b 2)) (* 1/2 b)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ 1 (/ -2 a)) into (* -1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1/2 a) 0) into (- (* 1/2 a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) 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 (/ 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 (/ -1 b)) into (* -1/2 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 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ PI 1)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 1) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) 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 (/ 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 (/ -1 b)) into (* -1/2 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 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/2 b)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) 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 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* (* 1/2 b) (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) PI)) into (/ PI b) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* (/ PI b) (* 1/2 b))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 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 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* (- (/ 1 (pow b 2))) PI))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* (/ PI b) 0) (* (- (/ PI (pow b 2))) (* 1/2 b)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* 2 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]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) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1/2 (- a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 a)) (/ 1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 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) (+ (* 1/2 (/ 0 1)))) 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 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) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 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 (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 a) 1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) 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 (/ 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 (/ 1 b)) into (* 1/2 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 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 a))) (/ 1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 b)) 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 (/ 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 (/ 1 b)) into (* 1/2 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 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [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 -1) (+ (* (* 1/2 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (- (/ 0 (/ 1 b)) (+ (* (* 1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 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 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (/ 1 (/ -2 a)) into (* -1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking 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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1/2 a) 0) into (- (* 1/2 a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) 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 (/ 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 (/ -1 b)) into (* -1/2 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 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (* 2 (/ 1 (- a)))) (/ 1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- b))) 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 (/ 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 (/ -1 b)) into (* -1/2 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 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* (* 1/2 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 (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 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 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* a b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1 (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 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 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ a b)) (/ 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 (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (pow (/ PI (+ a b)) 1) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 4 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ a b))) (log (/ PI 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (log PI) (log (+ b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log PI) (log (+ b a)))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 6 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ a b))) (log (/ PI 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (log PI) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log PI) (log (+ a b)))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 7 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (* (* (/ PI 1) (/ PI 1)) (/ PI 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (/ (pow PI 3) (+ a b)) (* (+ a b) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (/ (/ (pow PI 3) (+ a b)) (* (+ a b) (+ a b)))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 10 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ PI (* (+ a b) 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * [enter]simplify: Simplifying (* (+ a b) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ PI (+ b a)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 14 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt PI) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (* (cbrt (/ PI 1)) (cbrt (/ PI 1)))) (cbrt PI)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 16 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt PI) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (sqrt (/ PI 1))) (sqrt PI)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 17 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) 1) PI) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 18 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) PI) 1) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 19 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (* (cbrt (/ 1 (+ a b))) (/ PI 1))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 20 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ 1 (+ a b))) (* (sqrt (/ 1 (+ a b))) (/ PI 1))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 21 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (fma b (* b b) (pow a 3))) (* (+ (* a a) (- (* b b) (* a b))) (/ PI 1))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 24 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (- a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (/ 1 (+ a b)) (- a b)) (* (- a b) (/ PI 1))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 25 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ PI 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ PI (+ a b)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 27 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (* PI (- (/ 1/2 a) (/ 1/2 b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* PI (- (/ 1/2 a) (/ 1/2 b))) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 31 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (* PI (- (/ 1/2 a) (/ 1/2 b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* PI (- (/ 1/2 a) (/ 1/2 b))) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 32 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ a b))) (log (/ PI 1))) (- (log (- (/ 1 (* 2 a)) (/ 1/2 b))) (log (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1/2 a) (/ 1/2 b))) (+ (- (log (- b a)) (log PI)) (log (+ b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ 1/2 a) (/ 1/2 b))) (+ (- (log (- b a)) (log PI)) (log (+ b a)))))) * * * * [misc]progress: [ 34 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ a b))) (log (/ PI 1))) (log (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (+ (- (log PI) (log (+ b a))) (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log PI) (log (+ b a))) (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))))) * * * * [misc]progress: [ 35 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ 1 (+ a b))) (log (/ PI 1))) (- (log (- (/ 1 (* 2 a)) (/ 1/2 b))) (log (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (- (+ (log (- (/ 1/2 a) (/ 1/2 b))) (log PI)) (+ (log (- b a)) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (+ (log (- (/ 1/2 a) (/ 1/2 b))) (log PI)) (+ (log (- b a)) (log (+ a b)))))) * * * * [misc]progress: [ 36 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ 1 (+ a b))) (log (/ PI 1))) (log (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (- (log PI) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (- (log PI) (log (+ a b)))))) * * * * [misc]progress: [ 37 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ 1 (+ a b)) (/ PI 1))) (- (log (- (/ 1 (* 2 a)) (/ 1/2 b))) (log (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI (+ a b))) (log (- b a))) (log (- (/ 1/2 a) (/ 1/2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (/ PI (+ a b))) (log (- b a))) (log (- (/ 1/2 a) (/ 1/2 b)))))) * * * * [misc]progress: [ 38 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ 1 (+ a b)) (/ PI 1))) (log (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (+ (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (log (/ PI (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (log (/ PI (+ a b)))))) * * * * [misc]progress: [ 39 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (* (* (/ PI 1) (/ PI 1)) (/ PI 1))) (/ (* (* (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (/ 1 (* 2 a)) (/ 1/2 b))) (- (/ 1 (* 2 a)) (/ 1/2 b))) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (pow PI 3) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (+ a b))) (* (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (/ (/ (pow PI 3) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (+ a b))) (* (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))))) * * * * [misc]progress: [ 42 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (* (* (/ PI 1) (/ PI 1)) (/ PI 1))) (* (* (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (pow (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) 3) (/ (/ (/ (pow PI 3) (+ a b)) (+ a b)) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (pow (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) 3) (/ (/ (/ (pow PI 3) (+ a b)) (+ a b)) (+ a b))))) * * * * [misc]progress: [ 43 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (+ a b)) (/ PI 1))) (* (/ 1 (+ a b)) (/ PI 1))) (/ (* (* (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (/ 1 (* 2 a)) (/ 1/2 b))) (- (/ 1 (* 2 a)) (/ 1/2 b))) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (/ (* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b))) (/ (* (- b a) (- b a)) (- (/ 1/2 a) (/ 1/2 b)))) (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (* (/ PI (+ a b)) (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (/ PI (+ a b)) (- (/ 1/2 a) (/ 1/2 b))) (/ (* (- b a) (- b a)) (- (/ 1/2 a) (/ 1/2 b)))) (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (* (/ PI (+ a b)) (/ PI (+ a b))))))) * * * * [misc]progress: [ 44 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (+ a b)) (/ PI 1))) (* (/ 1 (+ a b)) (/ PI 1))) (* (* (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (pow (/ PI (+ a b)) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (pow (/ PI (+ a b)) 3))))) * * * * [misc]progress: [ 45 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 PI) (- (/ 1 (* 2 a)) (/ 1/2 b))) * * [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 (55 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (- (/ 1/2 a) (/ 1/2 b)) PI) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ 1/2 a) (/ 1/2 b)) PI) (* (* (+ a b) 1) (- b a)))) * [enter]simplify: Simplifying (* (* (+ a b) 1) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (+ b a) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- (/ 1/2 a) (/ 1/2 b)) PI) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 49 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ a b)) PI) (- (/ 1 (* 2 a)) (/ 1/2 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (/ (+ a b) PI)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (/ (+ a b) PI)) (* 1 (- b a)))) * [enter]simplify: Simplifying (* 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (/ (+ a b) PI)) (- b a))) * * * * [misc]progress: [ 50 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (/ PI 1)) (- (/ 1 (* 2 a)) (/ 1/2 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (- (/ 1/2 a) (/ 1/2 b)) PI) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ 1/2 a) (/ 1/2 b)) PI) (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (* (+ a b) (- 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 (* (+ b a) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- (/ 1/2 a) (/ 1/2 b)) PI) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 51 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (* (cbrt (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) (cbrt (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) (cbrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 53 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (sqrt (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) (sqrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 54 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))))) * * * * [misc]progress: [ 55 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b)))) (sqrt (- b a)))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))))) * * * * [misc]progress: [ 56 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b)))) 1)) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)))) * * * * [misc]progress: [ 57 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))))) * * * * [misc]progress: [ 58 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (sqrt (- b a)))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))))) * * * * [misc]progress: [ 59 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) 1)) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)))) * * * * [misc]progress: [ 60 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))))) * * * * [misc]progress: [ 61 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (sqrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))))) * * * * [misc]progress: [ 62 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 1)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 63 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 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 (/ 1/2 a)) (sqrt (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (cbrt (- b a))))) * * * * [misc]progress: [ 64 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 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 (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (sqrt (- b a)))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))))) * * * * [misc]progress: [ 65 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) 1)) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a)))) * * * * [misc]progress: [ 66 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))))) * * * * [misc]progress: [ 67 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (sqrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))))) * * * * [misc]progress: [ 68 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 1)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 69 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))))) * * * * [misc]progress: [ 70 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 (sqrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))))) * * * * [misc]progress: [ 71 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1 1)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 72 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) 1) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 73 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (- (/ 1 (* 2 a)) (/ 1/2 b))) (/ 1 (- b a)))) * * * * [misc]progress: [ 74 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 75 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 76 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (* (/ PI 1) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 77 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (* (/ 1 (+ a b)) (/ PI 1)) (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a))) * * * * [misc]progress: [ 78 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 PI) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (- (/ 1/2 a) (/ 1/2 b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI (- b a)) (- (/ 1/2 a) (/ 1/2 b))) (* (+ a b) 1))) * * * * [misc]progress: [ 79 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ a b)) PI) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1/2 a) (/ 1/2 b)) (+ a b)) (/ PI (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (- (/ 1/2 a) (/ 1/2 b)) (+ a b)) (/ PI (- b a))) 1)) * * * * [misc]progress: [ 80 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (- (/ 1/2 a) (/ 1/2 b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI (- b a)) (- (/ 1/2 a) (/ 1/2 b))) (+ a b))) * * * * [misc]progress: [ 81 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (- (log (- (/ 1/2 a) (/ 1/2 b))) (log (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (exp (- (log (- (/ 1/2 a) (/ 1/2 b))) (log (- b a)))))) * * * * [misc]progress: [ 86 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (/ 1 (* 2 a)) (/ 1/2 b))) (- (/ 1 (* 2 a)) (/ 1/2 b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (cbrt (pow (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) 3)))) * * * * [misc]progress: [ 89 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* 2 a)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 a) (- b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (- (/ (/ 1/2 a) (- b a)) (/ (/ 1/2 b) (- b a))))) * * * * [misc]progress: [ 94 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (* (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a)))) (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (* (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a)))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 95 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (/ (sqrt (- b a)) (cbrt (- (/ 1/2 a) (/ 1/2 b))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (/ (sqrt (- b a)) (cbrt (- (/ 1/2 a) (/ 1/2 b))))) (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (/ (sqrt (- b a)) (cbrt (- (/ 1/2 a) (/ 1/2 b))))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 96 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b)))) 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 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a))))) * * * * [misc]progress: [ 97 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 98 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 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) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 99 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1/2 a) (/ 1/2 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (sqrt (- (/ 1/2 a) (/ 1/2 b))) (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (sqrt (- (/ 1/2 a) (/ 1/2 b))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a))))) * * * * [misc]progress: [ 100 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 101 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 102 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 103 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 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 (/ 1/2 a)) (sqrt (/ 1/2 b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (cbrt (- b a)))))) * * * * [misc]progress: [ 104 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 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 (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a)))))) * * * * [misc]progress: [ 105 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (- b a))))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a))))) * * * * [misc]progress: [ 106 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 107 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 108 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 109 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 110 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 111 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a))))) * [enter]simplify: Simplifying (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* 1 (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))) * * * * [misc]progress: [ 112 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))))) * * * * [misc]progress: [ 116 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (sqrt (- b a))) (sqrt (- b a))))) * * * * [misc]progress: [ 117 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) 1) (- b a)))) * * * * [misc]progress: [ 118 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (/ (- b a) (cbrt (- (/ 1 (* 2 a)) (/ 1/2 b))))))) * * * * [misc]progress: [ 119 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1/2 a) (/ 1/2 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (/ (- b a) (sqrt (- (/ 1 (* 2 a)) (/ 1/2 b))))))) * * * * [misc]progress: [ 120 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (/ (- b a) (- (sqrt (/ 1 (* 2 a))) (sqrt (/ 1/2 b))))))) * * * * [misc]progress: [ 122 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b))))) * * * * [misc]progress: [ 125 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (* (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- (* b b) (* a a))) (+ a b)))) * * * * [misc]progress: [ 126 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* (* 2 a) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- b a) (* (- b a) (* (* 2 a) b))))) * * * * [misc]progress: [ 127 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 (* 2 a)) 3) (pow (/ 1/2 b) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * [exit]simplify: Simplified to (- (pow (/ 1/2 a) 3) (/ (/ 1/8 b) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (- (pow (/ 1/2 a) 3) (/ (/ 1/8 b) (* b b))) (* (- b a) (+ (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (+ (* (/ 1/2 b) (/ 1/2 b)) (* (/ 1 (* 2 a)) (/ 1/2 b)))))))) * * * * [misc]progress: [ 128 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (* (/ 1/2 b) (/ 1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (fma (/ 1/2 a) (/ 1/2 a) (/ (/ -1/4 b) b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ (fma (/ 1/2 a) (/ 1/2 a) (/ (/ -1/4 b) b)) (* (- b a) (+ (/ 1 (* 2 a)) (/ 1/2 b)))))) * * * * [misc]progress: [ 129 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (pow (+ a b) -1) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 133 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 138 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 139 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 142 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 145 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ b a)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (/ (/ 1 (sqrt (+ a b))) (sqrt (+ b a))) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 146 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (/ (/ 1 1) (+ b a)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 147 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ 1 (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b))) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 148 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ 1 (- (* a a) (* b b))) (- a b)) (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 149 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 150 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 151 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 152 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 153 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 154 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 155 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 156 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 157 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1/2 (* b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ 1 (+ a b)) (/ PI 1)) (/ 1/2 (* b a)))) * * * * [misc]progress: [ 158 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 0 (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 159 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 0 (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * * [misc]progress: [ 160 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* 0 (/ PI 1)) (/ (- (/ 1 (* 2 a)) (/ 1/2 b)) (- b a)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (a b (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # # # #) * * * [misc]regime: Found split indices: #