* [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 39 additional inputs, on iter 1 have 217 / 256 * * * * [misc]points: Computing exacts on every 2 of 39 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 39 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 2 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (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 1 1 3) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 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: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) 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) in a * [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 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) 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) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) 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) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 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 (- (/ 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 1) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI 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 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) (+ (* -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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) * [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 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (* (/ 1 a) (/ 1 b))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) 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))) 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)) 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 (* (* 1/2 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 (/ (- (* 1/2 (* 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))) 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)) 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) 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)) 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 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 (* (* 1/2 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) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 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 (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI a) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 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)))) 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))) 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 (* (* 1/2 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 (/ (* 1/2 (* 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)))) 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))) 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 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))) 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 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 (* (* 1/2 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) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) -1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (/ PI (* a b))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 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: [ 4 / 4 ] 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)) (+ a b)) 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) in a * [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 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (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)) (+ a b)) 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) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (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)) (+ a b)) 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) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 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 1) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow a 2)) (- a)) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow a 3))) (- a)) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 1 (- a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor 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))) (+ (/ 1 a) (/ 1 b))) 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)) 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 (* (* 1/2 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 (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b 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))) (+ (/ 1 a) (/ 1 b))) 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)) 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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))) (+ (/ 1 a) (/ 1 b))) 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)) 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- 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 (- (/ (- PI) 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) 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 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 (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [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 (- (/ (/ PI a) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 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))) 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 (* (* 1/2 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 (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b 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)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 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))) 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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)))) (+ (/ 1 (- a)) (/ 1 (- b)))) 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))) 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) -1)))) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- PI) -1) (+ (* (* -1/2 (* a PI)) (/ (/ 1 a) -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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- (/ (/ PI a) -1) (+ (* (* -1/2 (* a PI)) (/ 0 -1)) (* (* 1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 152 ] 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 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: [ 14 / 152 ] 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 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: [ 15 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (- (log (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (log (+ a b)))) (- b a))) * * * * [misc]progress: [ 22 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 152 ] 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))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3)) (- b a))) * * * * [misc]progress: [ 25 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b)))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 30 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 31 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b))) (- b a))) * * * * [misc]progress: [ 32 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 33 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 34 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b))) (- b a))) * [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 2) to (λ (a b) (/ (* (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b))) (- b a))) * * * * [misc]progress: [ 35 / 152 ] 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 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ 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 (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 36 / 152 ] 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 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ 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 (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 37 / 152 ] 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 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (- b a))) * * * * [misc]progress: [ 38 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 152 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a))) * * * * [misc]progress: [ 42 / 152 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (sqrt (+ b a))) (- b a))) * * * * [misc]progress: [ 43 / 152 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1) (+ b a)) (- b a))) * * * * [misc]progress: [ 44 / 152 ] 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 1) to (λ (a b) (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ a b) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (- b a))) * * * * [misc]progress: [ 45 / 152 ] 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 1) to (λ (a b) (/ (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (+ a b) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (- b a))) * * * * [misc]progress: [ 46 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 152 ] 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b))) (- b a))) * * * * [misc]progress: [ 48 / 152 ] 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) (- a b)) (- b a))) * * * * [misc]progress: [ 49 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 152 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 63 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (150 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: [ 64 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 152 ] 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 (52 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (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)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))))) * * * * [misc]progress: [ 67 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (126 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: [ 68 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (cbrt (- b a))))) * * * * [misc]progress: [ 73 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (/ (sqrt (- b a)) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))))) * * * * [misc]progress: [ 74 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b)))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b)))) (/ (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (- b a)))) * * * * [misc]progress: [ 75 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (cbrt (- b a))))) * * * * [misc]progress: [ 76 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))) (/ (sqrt (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b))) (sqrt (- b a))))) * * * * [misc]progress: [ 77 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (+ a b))) (/ (sqrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ a b))) (- b a)))) * * * * [misc]progress: [ 78 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 79 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b))) (/ (* (cbrt (+ a b)) (sqrt (- b a))) (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))) (cbrt (+ a b))) (/ (* (cbrt (+ a b)) (sqrt (- b a))) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [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)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 80 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ a b)))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 81 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 82 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a)))) (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 83 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ a b))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ a b))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 84 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (371 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a))) (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a))) (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a))) (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (cbrt (- b a)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 85 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (sqrt (- b a))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 86 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 87 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 88 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (sqrt (- b a))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (sqrt (- b a))) (cbrt (+ a b)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (* (cbrt (+ a b)) (sqrt (- b a))) (cbrt (+ a b)))) (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 89 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 90 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 91 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))) (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (sqrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 92 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 93 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 94 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (sqrt (- b a))) (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 95 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 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))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 96 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 97 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 98 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 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) 2) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))))) * * * * [misc]progress: [ 99 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 100 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 101 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))))) * * * * [misc]progress: [ 102 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 103 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 104 / 152 ] 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 (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 105 / 152 ] 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))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (cbrt (- b a)))))) * * * * [misc]progress: [ 106 / 152 ] 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))) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (+ a b) (sqrt (- b a)))))) * * * * [misc]progress: [ 107 / 152 ] 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 (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 108 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 109 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (- 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 (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 110 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (/ (/ 1 (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (/ (/ 1 (- b a)) (+ a b)))) * * * * [misc]progress: [ 111 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (cbrt (- b a)) (fma (* b b) b (pow a 3)))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (cbrt (- b a)) (fma (* b b) b (pow a 3)))) (cbrt (- b a))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma a (- a b) (* b b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (fma a (- a b) (* b b)) (cbrt (- b a))))) * * * * [misc]progress: [ 112 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (sqrt (- b a)) (fma a (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (sqrt (- b a)) (fma a (* a a) (pow b 3)))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma a (- a b) (* b b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) (/ (fma a (- a b) (* b b)) (sqrt (- b a))))) * * * * [misc]progress: [ 113 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (fma (* b b) b (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (fma (* b b) b (pow a 3))) (/ (+ (* a a) (- (* b b) (* a b))) (- b a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (fma (* b b) b (pow a 3))) (/ (fma (- b a) b (* a a)) (- b a)))) * * * * [misc]progress: [ 114 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ (/ PI a) 2) (/ PI (* b -2))) (* (cbrt (- b a)) (cbrt (- b a)))) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (/ (/ PI a) 2) (/ PI (* b -2))) (* (cbrt (- b a)) (cbrt (- b a)))) (- (* a a) (* b b))) (/ (- a b) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (+ (/ (/ PI a) 2) (/ PI (* b -2))) (* (cbrt (- b a)) (cbrt (- b a)))) (- (* a a) (* b b))) (/ (- a b) (cbrt (- b a))))) * * * * [misc]progress: [ 115 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (- b a)) (- (* a a) (* b b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (sqrt (- b a)) (- (* a a) (* b b)))) (/ (- a b) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a))))) * * * * [misc]progress: [ 116 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (+ a b) (- a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (+ a b) (- a b))) (/ (- a b) (- b a)))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (+ a b) (- a b))) (/ (- a b) (- b a)))) * * * * [misc]progress: [ 117 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 152 ] 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) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))) * * * * [misc]progress: [ 121 / 152 ] 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) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (sqrt (- b a))) (sqrt (- b a)))) * * * * [misc]progress: [ 122 / 152 ] 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)) 1) (- b a))) * * * * [misc]progress: [ 123 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (* (cbrt (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b))) (cbrt (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)))) * [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)) (+ a b)))) (/ (- b a) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))))) * * * * [misc]progress: [ 124 / 152 ] 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))) (/ (- b a) (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)))))) * * * * [misc]progress: [ 125 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (+ a b)))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b)))))) * * * * [misc]progress: [ 126 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b)))))) * * * * [misc]progress: [ 127 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b))))) * * * * [misc]progress: [ 128 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ a b)))))) * * * * [misc]progress: [ 129 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 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 (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (+ a b)))))) * * * * [misc]progress: [ 130 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (82 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)))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b))))) * * * * [misc]progress: [ 131 / 152 ] 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))) (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 132 / 152 ] 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))) (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 133 / 152 ] 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 (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b))))) * * * * [misc]progress: [ 134 / 152 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (/ (/ PI -2) b) (/ PI (* a 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (/ (/ PI -2) b) (/ PI (* a 2))) (/ (- b a) (/ 1 (+ a b))))) * * * * [misc]progress: [ 136 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (fma (* b b) b (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (fma (* b b) b (pow a 3))) (/ (- b a) (+ (* a a) (- (* b b) (* a b)))))) * * * * [misc]progress: [ 137 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (* a a) (* b b))) (/ (- b a) (- a b)))) * * * * [misc]progress: [ 138 / 152 ] 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: [ 139 / 152 ] 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: [ 140 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (/ (/ PI -2) b) (/ PI (* a 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (+ (/ (/ PI -2) b) (/ PI (* a 2))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 141 / 152 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 142 / 152 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 143 / 152 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 144 / 152 ] 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)) (- b a))) * * * * [misc]progress: [ 145 / 152 ] 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)) (- b a))) * * * * [misc]progress: [ 146 / 152 ] 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)) (- b a))) * * * * [misc]progress: [ 147 / 152 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 148 / 152 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 149 / 152 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 150 / 152 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 151 / 152 ] 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: [ 152 / 152 ] 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 3) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 3) * [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]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 (- (+ (* 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 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 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 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (/ 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (/ 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 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 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 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 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 1)) (* 0 (/ 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)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (- (+ (* 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 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 (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (/ 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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (/ 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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 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 -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 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 -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 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 -1)) (* 0 (/ 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)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 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 (- (/ 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI 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 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) (+ (* -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 (- (+ (* (/ 1 a) (/ 0 a)))) 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 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) * [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 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (* (/ 1 a) (/ 1 b))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* (* 1/2 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 (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* a PI)) * [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 (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* a PI)) * [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 (/ (* 1/2 (* 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 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 (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 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) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 a))) 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 (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI a) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- 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 (* (* 1/2 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 (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 a)) into (* -1/2 (* a PI)) * [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 (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 a)) into (* -1/2 (* a PI)) * [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 (/ (- (* 1/2 (* 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 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 (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 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) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) -1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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) 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 (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (/ PI (* a b))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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) 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 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 (- (+ (* (/ 1 a) (/ 0 a)))) 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 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 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 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 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 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 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 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 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) 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 (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 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: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (* (/ PI 2) (/ 1 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) (/ 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]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow a 2)) (- a)) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor 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 (- (+ (* (/ 1 a) (/ 0 a)))) 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 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow a 3))) (- a)) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 1 (- a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor 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 (/ 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 (/ 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 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* (* 1/2 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 (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 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 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* a PI)) * [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 (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 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 (/ 1 a)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (* (/ PI 2) (/ 1 (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* a PI)) * [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 (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 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) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- 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 (- (/ (- PI) 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 a))) 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 (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [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 (- (/ (/ PI a) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (/ 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 (/ 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 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- 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 (* (* 1/2 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 (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 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 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 a)) into (* -1/2 (* a PI)) * [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 (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 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 (/ 1 (- a))))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (* (/ PI 2) (/ 1 (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (* (/ PI 2) (/ 1 (/ 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 (/ 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 a)) into (* -1/2 (* a PI)) * [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 (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 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) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) -1)))) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- PI) -1) (+ (* (* -1/2 (* a PI)) (/ (/ 1 a) -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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- (/ (/ PI a) -1) (+ (* (* -1/2 (* a PI)) (/ 0 -1)) (* (* 1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ 1 a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) a) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (pow (/ (/ PI 2) a) 1)) (+ a b)) (- b a))) * * * * [misc]progress: [ 4 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ PI 2)) (log (/ 1 a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log a)) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (exp (- (log (/ PI 2)) (log a)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 6 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (* (* (/ PI 2) (/ PI 2)) (/ (/ PI 2) (pow a 3))) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (cbrt (* (* (/ PI 2) (/ PI 2)) (/ (/ PI 2) (pow a 3))))) (+ a b)) (- b a))) * * * * [misc]progress: [ 9 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 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 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ PI (* 2 a))) (+ a b)) (- b a))) * [enter]simplify: Simplifying (* 2 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2 a) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ PI (* 2 a))) (+ a b)) (- b a))) * * * * [misc]progress: [ 13 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 a)) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (* (/ PI 2) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (cbrt (/ 1 a)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 16 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 a)) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (* (/ PI 2) (sqrt (/ 1 a))) (sqrt (/ 1 a)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 17 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (* (/ PI 2) 1) (/ 1 a))) (+ a b)) (- b a))) * * * * [misc]progress: [ 18 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (* (/ PI 2) 1) (/ 1 a))) (+ a b)) (- b a))) * * * * [misc]progress: [ 19 / 160 ] 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 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (/ PI 2)) (/ 1 a)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 20 / 160 ] 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 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (sqrt (/ PI 2)) (* (sqrt (/ PI 2)) (/ 1 a)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 21 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ PI a) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 25 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (log (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (- (log (fma PI (/ -1 b) (/ PI a))) (+ (log 2) (log (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (fma PI (/ -1 b) (/ PI a))) (+ (log 2) (log (+ a b))))) (- b a))) * * * * [misc]progress: [ 30 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3)) (- b a))) * * * * [misc]progress: [ 33 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 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 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b)))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 38 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 39 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (+ a b))) (- b a))) * * * * [misc]progress: [ 40 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 41 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 42 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (+ a b))) (- b a))) * * * * [misc]progress: [ 43 / 160 ] 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 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (/ (fma (/ PI b) -1 (/ PI a)) (cbrt (+ a b))) 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (/ (fma (/ PI b) -1 (/ PI a)) (cbrt (+ a b))) 1/2)) (- b a))) * * * * [misc]progress: [ 44 / 160 ] 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 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (/ (fma (/ PI b) -1 (/ PI a)) (sqrt (+ a b))) 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (* (/ (fma (/ PI b) -1 (/ PI a)) (sqrt (+ a b))) 1/2)) (- b a))) * * * * [misc]progress: [ 45 / 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 1) to (λ (a b) (/ (* 1 (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (- b a))) * * * * [misc]progress: [ 46 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a))) * * * * [misc]progress: [ 50 / 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (sqrt (+ b a))) (- b a))) * * * * [misc]progress: [ 51 / 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) 1) (+ b a)) (- b a))) * * * * [misc]progress: [ 52 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) (/ (+ a b) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))))) (- b a))) * * * * [misc]progress: [ 53 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (+ a b) (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))))) (- b a))) * * * * [misc]progress: [ 54 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b))) (- b a))) * * * * [misc]progress: [ 56 / 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (- (* a a) (* b b))) (- a b)) (- b a))) * * * * [misc]progress: [ 57 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (log (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (- (log (/ (fma (/ -1 b) PI (/ PI a)) 2)) (+ (log (+ a b)) (log (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (fma (/ -1 b) PI (/ PI a)) 2)) (+ (log (+ a b)) (log (- b a)))))) * * * * [misc]progress: [ 71 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (log (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (- (log (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (log (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (log (- b a))))) * * * * [misc]progress: [ 72 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (pow (+ a b) 3) (pow (- b a) 3))) (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (pow (+ a b) 3) (pow (- b a) 3))) (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))))) * * * * [misc]progress: [ 75 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI 2) (- b a)) (/ (+ (/ -1 b) (/ 1 a)) (+ a b))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI 2) (- b a)) (/ (+ (/ -1 b) (/ 1 a)) (+ a b))) 3))) * * * * [misc]progress: [ 76 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a)))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (cbrt (- b a)))) (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))))) * * * * [misc]progress: [ 81 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (sqrt (- b a)) (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (sqrt (- b a)) (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (sqrt (- b a)) (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))))) (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))))) * * * * [misc]progress: [ 82 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)))) (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)))) (/ (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (- b a)))) * * * * [misc]progress: [ 83 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) (* (+ a b) 2))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (cbrt (- b a))))) * * * * [misc]progress: [ 84 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))) (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2))) (sqrt (- b a))))) * * * * [misc]progress: [ 85 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (- b a)))) * * * * [misc]progress: [ 86 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 87 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (/ (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (/ (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (/ (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b)))))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 88 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (cbrt (+ a b)))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 89 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (cbrt (- 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))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 90 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (sqrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (sqrt (- b a))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (* (sqrt (+ a b)) (sqrt (- b a))))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 91 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ PI (/ a 1/2)))))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 92 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (355 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a))) (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a))) (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a))) (/ (cbrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (cbrt (- b a)))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 93 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 94 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) 1) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a)))) (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a)))) (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a))))) (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a)))) (cbrt (fma (/ PI b) -1/2 (* 1/2 (/ PI a))))) (/ (cbrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 95 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (fma PI (/ -1 b) (/ PI a)) 2)) (* (* (cbrt (- b a)) (cbrt (+ a b))) (* (cbrt (- b a)) (cbrt (+ a b))))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 96 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (* (sqrt (- b a)) (cbrt (+ a b))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (* (sqrt (- b a)) (cbrt (+ a b))) (cbrt (+ a b)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (* (* (sqrt (- b a)) (cbrt (+ a b))) (cbrt (+ a b)))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 97 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 98 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (* (sqrt (+ a b)) (cbrt (- b a))) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (* (sqrt (+ a b)) (cbrt (- b a))) (cbrt (- b a)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (* (sqrt (+ a b)) (cbrt (- b a))) (cbrt (- b a)))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (cbrt (- b a)))))) * * * * [misc]progress: [ 99 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (sqrt (- b a)))))) * * * * [misc]progress: [ 100 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (sqrt (+ a b))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) 2)) (sqrt (+ a b))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 101 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (cbrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 102 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (- b a)) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- b a))) (/ (sqrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (* (sqrt (- b a)) (+ a b))))) * * * * [misc]progress: [ 103 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (+ a b) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (/ (sqrt (/ (fma (/ -1 b) PI (/ PI a)) 2)) (* (+ a b) (- b a))))) * * * * [misc]progress: [ 104 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 105 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (* (cbrt (+ a b)) (sqrt (- b a)))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (sqrt (- b a)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt (- b a))) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (sqrt (- b a)) (cbrt (+ a b)))))) * * * * [misc]progress: [ 106 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b))) (- b a)) * * [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 (117 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 107 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 108 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (sqrt (- b a)) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (sqrt (+ a b))) (sqrt (- b a))) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (sqrt (- b a)) (sqrt (+ a b)))))) * * * * [misc]progress: [ 109 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ a b))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b))) (- b a)) * * [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 (117 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (sqrt (+ a b)) (- b a))))) * * * * [misc]progress: [ 110 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (cbrt (- b a))))) * * * * [misc]progress: [ 111 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (sqrt (- b a))))) * * * * [misc]progress: [ 112 / 160 ] 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 (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 113 / 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 1) to (λ (a b) (* (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (cbrt (- b a))))) * * * * [misc]progress: [ 114 / 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 1) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (- b a))) (/ (/ (fma PI (/ -1 b) (/ PI a)) (* (+ a b) 2)) (sqrt (- b a))))) * * * * [misc]progress: [ 115 / 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) to (λ (a b) (* 1 (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- b a) (+ a b))))) * * * * [misc]progress: [ 116 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ a b)) (cbrt (- b a))))) * * * * [misc]progress: [ 117 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (- b a))) (/ (/ 1 (+ a b)) (sqrt (- b a))))) * * * * [misc]progress: [ 118 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (fma PI (/ -1 b) (/ PI a)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma PI (/ -1 b) (/ PI a)) 2) (/ (/ 1 (+ a b)) (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma PI (/ -1 b) (/ PI a)) 2) (/ (/ 1 (- b a)) (+ a b)))) * * * * [misc]progress: [ 119 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ (pow a 3) (pow b 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (/ (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (fma (* a a) a (pow b 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (fma (* a a) a (pow b 3))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma a (- a b) (* b b)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (cbrt (- b a)) (cbrt (- b a)))) (fma (* a a) a (pow b 3))) (/ (fma a (- a b) (* b b)) (cbrt (- b a))))) * * * * [misc]progress: [ 120 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ (pow a 3) (pow b 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (fma a (* a a) (pow b 3)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (fma a (* a a) (pow b 3)) (sqrt (- b a)))) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (fma a (- a b) (* b b)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (fma a (* a a) (pow b 3)) (sqrt (- b a)))) (/ (fma a (- a b) (* b b)) (sqrt (- b a))))) * * * * [misc]progress: [ 121 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ (pow a 3) (pow b 3))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) PI (/ PI a)) (* 2 (fma b (* b b) (pow a 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma (/ -1 b) PI (/ PI a)) (* 2 (fma b (* b b) (pow a 3)))) (/ (+ (* a a) (- (* b b) (* a b))) (- b a)))) * [enter]simplify: Simplifying (/ (+ (* a a) (- (* b b) (* a b))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ -1 b) PI (/ PI a)) (* 2 (fma b (* b b) (pow a 3)))) (/ (fma (- b a) b (* a a)) (- b a)))) * * * * [misc]progress: [ 122 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (- (* a a) (* b b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (cbrt (- b a))) (* (* (+ a b) (- a b)) (cbrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (cbrt (- b a))) (* (* (+ a b) (- a b)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (cbrt (- b a))) (* (* (+ a b) (- a b)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a))))) * * * * [misc]progress: [ 123 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (- (* a a) (* b b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (* (+ a b) (- a b)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (* (+ a b) (- a b)) (sqrt (- b a)))) (/ (- a b) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (- a b) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- a b) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (* (+ a b) (- a b)) (sqrt (- b a)))) (/ (- a b) (sqrt (- b a))))) * * * * [misc]progress: [ 124 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (- (* a a) (* b b))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (* (- a b) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (* (- a b) (+ a b))) (/ (- a b) (- b a)))) * [enter]simplify: Simplifying (/ (- a b) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (* (- a b) (+ a b))) (/ (- a b) (- b a)))) * * * * [misc]progress: [ 125 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 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) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a)))) * * * * [misc]progress: [ 129 / 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) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (sqrt (- b a))) (sqrt (- b a)))) * * * * [misc]progress: [ 130 / 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) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) 1) (- b a))) * * * * [misc]progress: [ 131 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (cbrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2)))) (/ (- b a) (cbrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))))) * * * * [misc]progress: [ 132 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (/ (fma (/ PI b) -1 (/ PI a)) (* (+ a b) 2))) (/ (- b a) (sqrt (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)))))) * * * * [misc]progress: [ 133 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 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 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ PI (* 2 a)))) (cbrt (+ a b)))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b)))))) * * * * [misc]progress: [ 134 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (sqrt (+ a b)) (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b)))))) * * * * [misc]progress: [ 135 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2))) (cbrt (fma -1/2 (/ PI b) (/ (/ PI a) 2)))) (/ (- b a) (/ (cbrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b))))) * * * * [misc]progress: [ 136 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (cbrt (+ a b)))))) * * * * [misc]progress: [ 137 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (sqrt (+ a b))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (sqrt (+ a b)))))) * * * * [misc]progress: [ 138 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a)))) (+ a b))))) * * * * [misc]progress: [ 139 / 160 ] 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))) (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (cbrt (+ a b)))))) * * * * [misc]progress: [ 140 / 160 ] 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))) (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (sqrt (+ a b)))))) * * * * [misc]progress: [ 141 / 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) to (λ (a b) (/ 1 (/ (- b a) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b))))) * * * * [misc]progress: [ 142 / 160 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (fma PI (/ -1 b) (/ PI a)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (/ (- b a) (/ 1 (+ a b))))) * * * * [misc]progress: [ 144 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (/ (fma (/ PI b) -1 (/ PI a)) (fma b (* b b) (pow a 3))) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (fma (/ PI b) -1 (/ PI a)) (fma b (* b b) (pow a 3))) 2) (/ (- b a) (+ (* a a) (- (* b b) (* a b)))))) * * * * [misc]progress: [ 145 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (/ (/ (fma (/ -1 b) PI (/ PI a)) 2) (- (* a a) (* b b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (fma (/ -1 b) PI (/ PI a)) 2) (- (* a a) (* b b))) (/ (- b a) (- a b)))) * * * * [misc]progress: [ 146 / 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) (* (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- (pow b 3) (pow a 3))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 147 / 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) (* (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) (+ a b)) (- (* b b) (* a a))) (+ a b))) * * * * [misc]progress: [ 148 / 160 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ PI 2) (/ -1 b) (* (/ PI 2) (/ 1 a))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (fma PI (/ -1 b) (/ PI a)) 2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (fma PI (/ -1 b) (/ PI a)) 2) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 149 / 160 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 150 / 160 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 151 / 160 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 152 / 160 ] 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)) (- b a))) * * * * [misc]progress: [ 153 / 160 ] 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)) (- b a))) * * * * [misc]progress: [ 154 / 160 ] 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)) (- b a))) * * * * [misc]progress: [ 155 / 160 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 156 / 160 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 157 / 160 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- 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) to (λ (a b) 0) * * * * [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) to (λ (a b) 0) * * * * [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) 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 1 3) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 3 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 3) * [misc]approximate: Taking taylor expansion of (/ 1 (/ a (/ PI 2))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ a (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ a (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) 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 (/ 1 (/ (/ 1 a) (/ PI 2))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ 1 a) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ 1 a) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) 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 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 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) 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 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 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) 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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -2 PI)) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 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 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 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 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 3 2) * [misc]approximate: Taking taylor expansion of (/ a (/ PI 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) a) into (* 2 (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 a) (/ PI 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) 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 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 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) 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 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 (* 1/2 PI)) (+ (* (/ 2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 2 PI) (/ 1 (/ 1 a))) into (* 2 (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 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 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 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 (* 1/2 PI)) (+ (* (/ -2 PI) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -2 PI) (/ 1 (/ 1 (- a)))) into (* 2 (/ a PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ a (* 1/2 PI)) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ a PI))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ a (* 1/2 PI)) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ a PI))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 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 (- (/ 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 1) into 1 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI 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 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) (+ (* -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 (* 1/2 PI)) (+ (* (* 2 (/ a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 (/ a PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor 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 (- 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (* 1/2 PI)) (+ (* (* 2 (/ a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 (/ a PI)))) (* 0 (/ 0 (* 2 (/ a PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) * [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 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (* (/ 1 a) (/ 1 b))) into (* -1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) (+ (/ 1 a) (/ 1 b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ 1 a) (* 1/2 PI)) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ 1 a) (* 1/2 PI)) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 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 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 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 (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))))) 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) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))))) 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 (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI a) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (* a b))) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -2 PI)) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* (* 1/2 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 (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ -1 a) (* 1/2 PI)) into (/ -2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* a PI))) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ -1 a) (* 1/2 PI)) into (/ -2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* a PI))) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- 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 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* 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 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 (* (* 1/2 PI) 1) into (* 1/2 PI) * [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 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))))) 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) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 a)) -1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))))) 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 (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)) (* (- PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (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 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 (* (* 1/2 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (/ PI (* a b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ a (* 1/2 PI)) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ a PI))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ 1 (/ a (/ PI 2)))) * [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 (/ 1 (/ a (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ a (/ PI 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 (/ 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]backup-simplify: Simplify (/ a (* 1/2 PI)) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ a PI))) 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 (* 1/2 PI)) (+ (* (* 2 (/ a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 (/ a PI)))))) 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 (* 1/2 PI)) (+ (* (* 2 (/ a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 (/ a PI)))) (* 0 (/ 0 (* 2 (/ a PI)))))) 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 (* 1/2 PI)) (+ (* (* 2 (/ a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI a)) (/ 0 (* 2 (/ a PI)))) (* 0 (/ 0 (* 2 (/ a PI)))) (* 0 (/ 0 (* 2 (/ a PI)))))) 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)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ 1 (* 1/2 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ 1 a) (* 1/2 PI)) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ 1 (/ (/ 1 a) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ 1 (/ (/ 1 a) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 a) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ 1 a) (* 1/2 PI)) into (/ 2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* a PI))) 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))))) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))))) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1/2 PI)) (+ (* (/ 2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* a PI)) (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))) (* 0 (/ 0 (/ 2 (* a PI)))))) 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))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ -1 (* 1/2 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -2 PI)) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ -1 a) (* 1/2 PI)) into (/ -2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* a PI))) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ 1 (/ (/ 1 (- a)) (/ PI 2)))) * [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 (/ 1 (/ (/ 1 (- a)) (/ PI 2))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (/ PI 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 (/ 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]backup-simplify: Simplify (/ (/ -1 a) (* 1/2 PI)) into (/ -2 (* a PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* a PI))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))))) 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) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))))) 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) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ -2 (* a PI)) (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* a PI)) (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))) (* 0 (/ 0 (/ -2 (* a PI)))))) 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 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 91 ] 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 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (pow (/ a (/ PI 2)) -1)) (+ a b)) (- b a))) * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ a (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ a (/ PI 2))) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ 1 (* (cbrt (/ a (/ PI 2))) (cbrt (/ a (/ PI 2))))) (cbrt (/ a (/ PI 2))))) (+ a b)) (- b a))) * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ a (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ a (/ PI 2))) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ 1 (sqrt (/ a (/ PI 2)))) (sqrt (/ a (/ PI 2))))) (+ a b)) (- b a))) * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ 1 1) (/ a (/ PI 2)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 19 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ 2 PI) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ 1 a) (/ 2 PI))) (+ a b)) (- b a))) * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ 1 a) (/ PI 2))) (+ a b)) (- b a))) * * * * [misc]progress: [ 22 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 3 2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ (/ a (* (cbrt (/ PI 2)) (cbrt (/ PI 2)))) (cbrt (/ PI 2))))) (+ a b)) (- b a))) * * * * [misc]progress: [ 35 / 91 ] 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 1 3 2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ (/ a (sqrt (/ PI 2))) (sqrt (/ PI 2))))) (+ a b)) (- b a))) * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [misc]simplify: Simplified (2 1 1 3 2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ (/ a 1) (/ PI 2)))) (+ a b)) (- b a))) * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/2 * [misc]simplify: Simplified (2 1 1 3 2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ (/ a PI) 1/2))) (+ a b)) (- b a))) * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (log (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (- (log (fma -1/2 (/ PI b) (/ 1/2 (/ a PI)))) (log (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (exp (- (log (fma -1/2 (/ PI b) (/ 1/2 (/ a PI)))) (log (+ a b)))) (- b a))) * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (+ a b)) 3)) (- b a))) * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI a) 2))) (cbrt (+ a b)))) (/ (cbrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 51 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (sqrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (sqrt (+ a b)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (/ (cbrt (fma (/ PI b) -1/2 (/ (/ PI 2) a))) (sqrt (+ a b)))) (/ (cbrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b)))) (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (* (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b)))) (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ PI b) -1/2 (* PI (/ 1/2 a)))) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (* (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b)))) (cbrt (fma (/ 1/2 a) PI (* -1/2 (/ PI b))))) (/ (cbrt (fma (/ PI b) -1/2 (* PI (/ 1/2 a)))) (+ a b))) (- b a))) * * * * [misc]progress: [ 53 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (* (/ PI a) 1/2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (fma (/ PI b) -1/2 (* (/ PI a) 1/2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (cbrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (fma (/ PI b) -1/2 (* (/ PI a) 1/2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (cbrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 54 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b))) (/ (sqrt (fma PI (/ 1/2 a) (/ PI (* -2 b)))) (sqrt (+ a b)))) (- b a))) * * * * [misc]progress: [ 55 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ 1/2 a) PI (/ (/ PI -2) b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (* (sqrt (fma (/ 1/2 a) PI (/ (/ PI -2) b))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (+ a b)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ PI b) -1/2 (* PI (/ 1/2 a)))) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (sqrt (fma (/ 1/2 a) PI (/ (/ PI -2) b))) (/ (sqrt (fma (/ PI b) -1/2 (* PI (/ 1/2 a)))) (+ a b))) (- b a))) * * * * [misc]progress: [ 56 / 91 ] 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 1) to (λ (a b) (/ (* (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (cbrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (fma (/ -1 b) PI (/ PI a)) (cbrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (fma (/ -1 b) PI (/ PI a)) (cbrt (+ a b))) 2)) (- b a))) * * * * [misc]progress: [ 57 / 91 ] 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 1) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (sqrt (+ a b)))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (fma (/ -1 b) PI (/ PI a)) (sqrt (+ a b))) 2) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* (/ 1 (sqrt (+ a b))) (/ (/ (fma (/ -1 b) PI (/ PI a)) (sqrt (+ a b))) 2)) (- b a))) * * * * [misc]progress: [ 58 / 91 ] 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 (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b))) (- b a))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ a b)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ a b)) (+ (/ -1 b) (/ 1 a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (/ (* 1 (* (/ (/ PI 2) (+ a b)) (+ (/ -1 b) (/ 1 a)))) (- b a))) * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 91 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (cbrt (+ b a))) (- b a))) * * * * [misc]progress: [ 63 / 91 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (sqrt (+ a b))) (sqrt (+ b a))) (- b a))) * * * * [misc]progress: [ 64 / 91 ] 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 2) to (λ (a b) (/ (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) 1) (+ b a)) (- b a))) * * * * [misc]progress: [ 65 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (cbrt (fma -1/2 (/ PI b) (* PI (/ 1/2 a)))) (cbrt (fma -1/2 (/ PI b) (* PI (/ 1/2 a))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (* (cbrt (fma -1/2 (/ PI b) (* PI (/ 1/2 a)))) (cbrt (fma -1/2 (/ PI b) (* PI (/ 1/2 a))))) (/ (+ a b) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))))) (- b a))) * * * * [misc]progress: [ 66 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (sqrt (fma -1/2 (/ PI b) (/ (/ PI 2) a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (/ (/ (sqrt (fma -1/2 (/ PI b) (/ (/ PI 2) a))) (/ (+ a b) (sqrt (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2))))))) (- b a))) * * * * [misc]progress: [ 67 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 91 ] 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (+ (pow a 3) (pow b 3))) (fma (- a b) a (* b b))) (- b a))) * * * * [misc]progress: [ 69 / 91 ] 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 2) to (λ (a b) (/ (* (/ (fma (/ PI 2) (/ -1 b) (/ 1 (/ a (/ PI 2)))) (- (* a a) (* b b))) (- a b)) (- b a))) * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 91 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 81 / 91 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 82 / 91 ] 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 1 3) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (+ a b)) (- b a))) * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (/ a PI)) * * [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 (* (/ a PI) 2) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (* (/ a PI) 2))) (+ a b)) (- b a))) * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (/ a PI)) * * [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 (* (/ a PI) 2) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (* (/ a PI) 2))) (+ a b)) (- b a))) * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (/ a PI)) * * [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 (* (/ a PI) 2) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ 1 (* (/ a PI) 2))) (+ a b)) (- b a))) * * * * [misc]progress: [ 86 / 91 ] 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)) (- b a))) * * * * [misc]progress: [ 87 / 91 ] 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)) (- b a))) * * * * [misc]progress: [ 88 / 91 ] 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)) (- b a))) * * * * [misc]progress: [ 89 / 91 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 90 / 91 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a b)) (- b a))) * * * * [misc]progress: [ 91 / 91 ] 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 1) to (λ (a b) (/ (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ a 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 2 branch expressions: (a b) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # #) * * * [misc]regime: Found split indices: #