* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 1 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a 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 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) 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 (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (* -1 (* -1/2 (/ PI (pow a 2)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 a) (* -1/2 (/ PI (pow a 2))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/2 (/ PI (pow a 4))))) (+ (* (/ 1 a) 0) (* 0 (* -1/2 (/ PI (pow a 2)))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* a (* 1/2 PI)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]backup-simplify: Simplify (+ (* a 0) (* (- 1) (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (* 1/2 (/ PI (pow a 2)))) (+ (* (- 1) 0) (* 0 (* 1/2 PI)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]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)) (/ 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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 a) (* 1/2 PI)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 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 (- 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (* 1/2 (/ PI (pow a 2)))) (+ (* 1 0) (* 0 (* 1/2 PI)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- b a) (* b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1 (/ 1 b))) (* 1 (* (/ 1 a) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking 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 (/ 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 a) 1)) (* -1 (* 1 (/ 1 b)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (- a)) 1)) (* 1 (* 1 (/ 1 (- b))))) into (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- (* b b) (* a a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) * [misc]taylor: Taking taylor expansion of (- (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 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 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (* 1 0) (+ (* 0 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]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)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) 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) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in a * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* b b) (* a a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* b b) (* a a)) in b * [misc]taylor: Taking taylor expansion of (* b b) in b * [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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (- (pow a 2)) into (- (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- (pow a 2))) into (* -1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) 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)) (* 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1/2 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (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 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]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)) (/ 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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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)) (/ 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]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) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) 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 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- b a) (* a b)) (/ 2 PI)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (/ (/ (- b a) (* a b)) (/ 2 PI)) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 2 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- b a)) (log (* b a))) (- (log (/ PI 2)) (log (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))))) * * * * [misc]progress: [ 4 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- b a)) (log (* b a))) (log (/ (/ PI 2) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (- b a) (* a b)))))) * * * * [misc]progress: [ 5 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- b a) (* b a))) (- (log (/ PI 2)) (log (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (- b a) (* a b)))))) * * * * [misc]progress: [ 6 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- b a) (* b a))) (log (/ (/ PI 2) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (log (* (/ (- b a) (* a b)) (/ (/ (/ PI 2) (+ a b)) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (- b a) (* a b)) (/ (/ (/ PI 2) (+ a b)) (- b a)))))) * * * * [misc]progress: [ 7 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (397 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI 2) (* (+ a b) (- b a))) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI 2) (* (+ a b) (- b a))) (/ (- b a) (* a b))) 3))) * * * * [misc]progress: [ 10 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (/ PI 2) (- (* b b) (* a a)))) (/ (/ PI 2) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (359 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI 2) (* (+ a b) (- b a))) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI 2) (* (+ a b) (- b a))) (/ (- b a) (* a b))) 3))) * * * * [misc]progress: [ 11 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (363 enodes) * [exit]simplify: Simplified to (pow (* (/ (- b a) (* a b)) (/ (/ PI 2) (- (* b b) (* a a)))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (- b a) (* a b)) (/ (/ PI 2) (- (* b b) (* a a)))) 3))) * * * * [misc]progress: [ 12 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (/ PI 2) (- (* b b) (* a a)))) (/ (/ PI 2) (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI 2) (- (* b b) (* a a))) (/ (- b a) (* a b))) 3))) * * * * [misc]progress: [ 13 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ PI 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * [exit]simplify: Simplified to (* (- b a) (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- b a) (/ PI 2)) (* (* b a) (- (* b b) (* a a))))) * [enter]simplify: Simplifying (* (* b a) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * [exit]simplify: Simplified to (* (+ a b) (* (- b a) (* a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (- b a) (/ PI 2)) (* (+ a b) (* (- b a) (* a b))))) * * * * [misc]progress: [ 17 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (* (cbrt (/ (/ PI 2) (- (* b b) (* a a)))) (cbrt (/ (/ PI 2) (- (* b b) (* a a)))))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))))) * * * * [misc]progress: [ 19 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (sqrt (/ (/ PI 2) (- (* b b) (* a a))))) (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))))) * * * * [misc]progress: [ 20 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))))) * * * * [misc]progress: [ 21 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- (* b b) (* a a))))) (/ (cbrt (/ PI 2)) (sqrt (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 22 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1)) (/ (cbrt (/ PI 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 23 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a))) (/ (cbrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 24 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (sqrt (/ PI 2)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (/ (sqrt (/ PI 2)) (cbrt (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 25 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (sqrt (/ PI 2)) (sqrt (- (* b b) (* a a))))) (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 26 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (sqrt (/ PI 2)) 1)) (/ (sqrt (/ PI 2)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 27 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (sqrt (/ PI 2)) (+ b a))) (/ (sqrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 28 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (/ (/ PI 2) (cbrt (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 29 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (sqrt (- (* b b) (* a a))))) (/ (/ PI 2) (sqrt (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 30 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 1)) (/ (/ (/ PI 2) (+ a b)) (- b a)))) * * * * [misc]progress: [ 31 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 32 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ PI (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (/ (/ 1 2) (cbrt (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 33 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ PI (sqrt (- (* b b) (* a a))))) (/ (/ 1 2) (sqrt (* (- b a) (+ a b)))))) * * * * [misc]progress: [ 34 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ PI 1)) (/ (/ (/ 1 2) (+ a b)) (- b a)))) * * * * [misc]progress: [ 35 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 36 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) 1) (/ (/ (/ PI 2) (+ a b)) (- b a)))) * * * * [misc]progress: [ 37 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (130 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ PI 2)) (/ (/ 1 (+ a b)) (- b a)))) * * * * [misc]progress: [ 38 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* b b) (* b b)) (+ (* (* a a) (* a a)) (* (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (pow (* b b) 3) (pow (* a a) 3)))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))))) * * * * [misc]progress: [ 39 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* (* b b) (* b b)) (* (* a a) (* a a))))) (+ (* a a) (* b b)))) * * * * [misc]progress: [ 40 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- b a) (* b a))) (cbrt (/ (- b a) (* b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) (* (cbrt (/ (- b a) (* b a))) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 41 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- b a) (* b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (sqrt (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (- b a) (* a b))) (* (sqrt (/ (- b a) (* b a))) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 42 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (pow (- b a) (+ 1/3 1/3)) b) (* (/ (cbrt (- b a)) a) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 43 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- b a)) b) (* (/ (sqrt (- b a)) a) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 44 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 b) (* (/ (- b a) a) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 45 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (- b a) (* (/ 1 (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))))) * * * * [misc]progress: [ 47 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (- b a) (* b a)) (/ PI 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 48 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ (/ PI 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (/ 2 PI)) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- b a) (/ 2 PI)) (* (- b a) (+ a b))) (* b a))) * * * * [misc]progress: [ 49 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- b a)) (log (* b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (log (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (/ (- b a) (* a b)))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 52 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (/ (- b a) (* a b)) 3)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 55 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b (* b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (- (/ 1 a) (/ a (* b a))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 60 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 61 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 62 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 b) (/ (- b a) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * [enter]simplify: Simplifying (/ (- b a) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * [exit]simplify: Simplified to (/ (- b a) a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 b) (/ (- b a) a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 63 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (pow (- b a) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (pow (- b a) (+ 1/3 1/3)) (/ (* b a) (cbrt (- b a)))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 68 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (- b a)) (/ (* b a) (sqrt (- b a)))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 69 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * [exit]simplify: Simplified to (- (pow b 3) (pow a 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- (pow b 3) (pow a 3)) (* (* b a) (+ (* b b) (+ (* a a) (* b a))))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 71 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (- b a) (+ b a)) (* (* b a) (+ b a))) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 72 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* b b)) (exp (* a a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (exp (* (+ b a) (- b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (log (exp (* (+ b a) (- b a))))))) * * * * [misc]progress: [ 73 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (* (+ a b) (- b a))))) * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 84 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (exp (log (/ (/ PI 2) (* (- b a) (+ b a))))))) * * * * [misc]progress: [ 87 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (* (+ b a) (- b a))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (cbrt (pow (/ (/ PI 2) (* (+ b a) (- b a))) 3)))) * * * * [misc]progress: [ 90 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 2) (+ 1/3 1/3)) (pow (- (* b b) (* a a)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (pow (- (* b b) (* a a)) (+ 1/3 1/3))) (/ (cbrt (/ PI 2)) (cbrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (pow (- (* b b) (* a a)) (+ 1/3 1/3))) (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a)))))) * * * * [misc]progress: [ 95 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (* (+ b a) (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (* (+ b a) (- b a)))) (/ (cbrt (/ PI 2)) (sqrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (* (+ b a) (- b a)))) (/ (cbrt (/ PI 2)) (sqrt (* (- b a) (+ b a))))))) * * * * [misc]progress: [ 96 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (pow (/ PI 2) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (pow (/ PI 2) (+ 1/3 1/3)) (/ (cbrt (/ PI 2)) (- (* b b) (* a a)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (pow (/ PI 2) (+ 1/3 1/3)) (/ (cbrt (/ PI 2)) (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 97 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 2) (+ 1/3 1/3)) (+ a b)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (+ a b)) (/ (cbrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (+ a b)) (/ (cbrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 98 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (pow (* (+ b a) (- b a)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (sqrt (/ PI 2)) (pow (* (+ b a) (- b a)) (+ 1/3 1/3))) (/ (sqrt (/ PI 2)) (cbrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (sqrt (/ PI 2)) (pow (* (+ b a) (- b a)) (+ 1/3 1/3))) (/ (sqrt (/ PI 2)) (cbrt (* (- b a) (+ b a))))))) * * * * [misc]progress: [ 99 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))) (/ (sqrt (/ PI 2)) (sqrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (sqrt (/ (/ PI 2) (* (- b a) (+ b a)))) (sqrt (/ (/ PI 2) (* (- b a) (+ b a))))))) * * * * [misc]progress: [ 100 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (- (* b b) (* a a)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 101 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (+ b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (sqrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (sqrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 102 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (* (pow (* (+ a b) (- b a)) (- 1/3)) (pow (* (+ a b) (- b a)) (- 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (* (pow (* (+ a b) (- b a)) (- 1/3)) (pow (* (+ a b) (- b a)) (- 1/3))) (/ (/ PI 2) (cbrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2) (cbrt (* (- b a) (+ a b))))))) * * * * [misc]progress: [ 103 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (pow (- (* b b) (* a a)) (- 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (pow (- (* b b) (* a a)) (- 1/2)) (/ (/ PI 2) (sqrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ 1 (sqrt (- (* b b) (* a a)))) (/ (/ PI 2) (sqrt (* (- b a) (+ a b))))))) * * * * [misc]progress: [ 104 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* 1 (/ (/ PI 2) (- (* b b) (* a a)))))) * [enter]simplify: Simplifying (/ (/ PI 2) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* 1 (/ (/ (/ PI 2) (+ a b)) (- b a))))) * * * * [misc]progress: [ 105 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 106 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (/ PI (pow (* (+ a b) (- b a)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (pow (* (+ a b) (- b a)) (+ 1/3 1/3))) (/ (/ 1 2) (cbrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (pow (* (+ a b) (- b a)) (+ 1/3 1/3))) (/ (/ 1 2) (cbrt (* (- b a) (+ a b))))))) * * * * [misc]progress: [ 107 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- (* b b) (* a a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (sqrt (- (* b b) (* a a)))) (/ (/ 1 2) (sqrt (- (* b b) (* a a))))))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (* (- b a) (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (sqrt (- (* b b) (* a a)))) (/ (/ 1 2) (sqrt (* (- b a) (+ a b))))))) * * * * [misc]progress: [ 108 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* PI (/ (/ 1 2) (- (* b b) (* a a)))))) * [enter]simplify: Simplifying (/ (/ 1 2) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 2) (+ a b)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* PI (/ (/ (/ 1 2) (+ a b)) (- b a))))) * * * * [misc]progress: [ 109 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (+ b a)) (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ PI (+ b a)) (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 110 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* b b) (* a a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (cbrt (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ (/ PI 2) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (cbrt (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 114 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* b b) (* a a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (sqrt (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ (/ PI 2) (sqrt (- (* b b) (* a a)))) (sqrt (* (- b a) (+ b a)))))) * * * * [misc]progress: [ 115 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ (/ PI 2) 1) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 116 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ (/ PI 2) (+ b a)) (- b a)))) * * * * [misc]progress: [ 117 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (/ PI 2) (* 1/3 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (/ (pow (/ PI 2) (* 1/3 2)) (/ (- (* b b) (* a a)) (cbrt (/ PI 2)))))) * * * * [misc]progress: [ 118 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (- b a) (* b a)) (/ (sqrt (/ PI 2)) (/ (- (* b b) (* a a)) (sqrt (/ PI 2)))))) * * * * [misc]progress: [ 119 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* b b) (* b b)) (+ (* (* a a) (* a a)) (* (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (/ PI 2) (- (pow (* b b) 3) (pow (* a a) 3))) (+ (* (* a a) (+ (* b b) (* a a))) (* (* b b) (* b b)))))) * * * * [misc]progress: [ 122 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * [exit]simplify: Simplified to (+ (* a a) (* b b)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (* (/ (/ PI 2) (- (* (* b b) (* b b)) (* (* a a) (* a a)))) (+ (* a a) (* b b))))) * * * * [misc]progress: [ 123 / 135 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 125 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 126 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 127 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) (* a b)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 128 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) (* a b)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 129 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) (* a b)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 130 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 131 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 132 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 2) (pow a 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (- (* b b) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a))))) * * * * [misc]progress: [ 133 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- b a) (* b a)) 0)) * * * * [misc]progress: [ 134 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- b a) (* b a)) 0)) * * * * [misc]progress: [ 135 / 135 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (- b a) (* b a)) 0)) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- b a) (* b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1 (/ 1 b))) (* 1 (* (/ 1 a) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking 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 (/ 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 a) 1)) (* -1 (* 1 (/ 1 b)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (- a)) 1)) (* 1 (* 1 (/ 1 (- b))))) into (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (* -1 (/ PI a)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 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 (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ PI (pow a 2)))) (* (/ 1 a) (/ PI a))) into (* 2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ PI (pow a 3))) (+ (* (/ 1 a) (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (- (* 2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 0 a)) (* (/ PI (pow a 3)) (/ 1 a)))) into (- (/ PI (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (/ PI (pow a 4)))) (+ (* (/ 1 a) (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a))))) into (* 2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (* (/ 1 a) (/ 1 b))) into (* -1 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* a PI) 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) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]backup-simplify: Simplify (+ (* a (- (/ PI a))) (* (- 1) PI)) into (- (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (/ PI (pow a 2))) (+ (* (- 1) (- (/ PI a))) (* 0 PI))) into (* 2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ 0 1)) (* (/ PI (pow a 2)) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (- (/ PI (pow a 3)))) (+ (* (- 1) (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI)))) into (- (* 2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 a) (/ 1 b))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 a) (* -1 PI)) 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) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ PI a)) (* 1 (* -1 PI))) into (- (* 2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (- (/ PI (pow a 2)))) (+ (* 1 (/ PI a)) (* 0 (* -1 PI)))) into (* 2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 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 (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ 0 -1)) (* (- (/ PI (pow a 2))) (/ (- (/ 1 a)) -1)))) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ PI (pow a 3))) (+ (* 1 (- (/ PI (pow a 2)))) (+ (* 0 (/ PI a)) (* 0 (* -1 PI))))) into (- (* 2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- a)) (/ 1 (- b)))) into (/ PI (* b a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ PI (+ b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) 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 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 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 in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI 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 (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1/2 (- a)) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1/2 (- a)) into (/ -1/2 a) * [misc]backup-simplify: Simplify (* -1 (/ PI a)) into (* -1 (/ PI a)) * [misc]backup-simplify: Simplify (* (* -1 (/ PI a)) (/ -1/2 a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 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 (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ PI (pow a 2)))) (* (/ 1 a) (/ PI a))) into (* 2 (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ PI a)) (- (* 1/2 (/ 1 (pow a 2))))) (* (* 2 (/ PI (pow a 2))) (/ -1/2 a))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 0 (- a))) (* (- (* 1/2 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ PI (pow a 3))) (+ (* (/ 1 a) (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (- (* 2 (/ PI (pow a 3)))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ PI a)) (- (* 1/2 (/ 1 (pow a 3))))) (+ (* (* 2 (/ PI (pow a 2))) (- (* 1/2 (/ 1 (pow a 2))))) (* (- (* 2 (/ PI (pow a 3)))) (/ -1/2 a)))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (* a PI) into (* PI a) * [misc]backup-simplify: Simplify (* (* PI a) 1/2) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]backup-simplify: Simplify (+ (* a (- (/ PI a))) (* (- 1) PI)) into (- (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (* PI a) (* 1/2 (/ 1 a))) (* (- (* 2 PI)) 1/2)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (* 1/2 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (/ PI (pow a 2))) (+ (* (- 1) (- (/ PI a))) (* 0 PI))) into (* 2 (/ PI a)) * [misc]backup-simplify: Simplify (+ (* (* PI a) (* 1/2 (/ 1 (pow a 2)))) (+ (* (- (* 2 PI)) (* 1/2 (/ 1 a))) (* (* 2 (/ PI a)) 1/2))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (* (* -1 a) (* -1 PI)) into (* PI a) * [misc]backup-simplify: Simplify (* (* PI a) -1/2) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ PI a)) (* 1 (* -1 PI))) into (- (* 2 PI)) * [misc]backup-simplify: Simplify (+ (* (* PI a) (- (* 1/2 (/ 1 a)))) (* (- (* 2 PI)) -1/2)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (- (* 1/2 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (- (/ PI (pow a 2)))) (+ (* 1 (/ PI a)) (* 0 (* -1 PI)))) into (* 2 (/ PI a)) * [misc]backup-simplify: Simplify (+ (* (* PI a) (- (* 1/2 (/ 1 (pow a 2))))) (+ (* (- (* 2 PI)) (- (* 1/2 (/ 1 a)))) (* (* 2 (/ PI a)) -1/2))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- b a)) (log (* b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (log (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (exp (log (/ (- b a) (* a b)))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 3 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (cbrt (pow (/ (- b a) (* a b)) 3)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 6 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b (* b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (- (/ 1 a) (/ a (* b a))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 11 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 12 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 13 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ 1 b) (/ (- b a) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * [enter]simplify: Simplifying (/ (- b a) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * [exit]simplify: Simplified to (/ (- b a) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ 1 b) (/ (- b a) a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 14 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (pow (- b a) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) (/ (* b a) (cbrt (- b a)))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 19 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (sqrt (- b a)) (/ (* b a) (sqrt (- b a)))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 20 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * [exit]simplify: Simplified to (- (pow b 3) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (- (pow b 3) (pow a 3)) (* (* b a) (+ (* b b) (+ (* a a) (* b a))))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 22 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (* (- b a) (+ b a)) (* (* b a) (+ b a))) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 23 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- b a) (* b a)) (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (/ (* a b) (- b a))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (pow (/ (/ PI (+ a b)) (/ (* a b) (- b a))) 1) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 24 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- b a)) (log (* b a))) (log (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (log (* (/ PI (+ a b)) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (* (/ PI (+ a b)) (/ (- b a) (* a b))))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 26 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- b a) (* b a))) (log (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (log (/ (/ (- b a) (* a b)) (/ (+ a b) PI))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (/ (/ (- b a) (* a b)) (/ (+ a b) PI)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 27 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (pow (* (/ PI (+ a b)) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (* (/ PI (+ a b)) (/ (- b a) (* a b))) 3)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 30 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (pow (* (/ PI (+ a b)) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (* (/ PI (+ a b)) (/ (- b a) (* a b))) 3)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 31 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * [exit]simplify: Simplified to (* (- b a) PI) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (- b a) PI) (* (* b a) (+ b a))) (/ (/ 1 2) (- b a)))) * [enter]simplify: Simplifying (* (* b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * [exit]simplify: Simplified to (* (* a b) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (* (- b a) PI) (* (* a b) (+ a b))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 35 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a))))) (cbrt (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 37 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (sqrt (/ PI (+ b a)))) (sqrt (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 38 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) 1) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 39 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) PI) (/ 1 (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 40 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (- (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* b b) (* a (- a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ (pow b 3) (pow a 3)))) (+ (* b b) (* a (- a b)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 41 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (- (* b b) (* a a)))) (- b a)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 42 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- b a) (* b a))) (cbrt (/ (- b a) (* b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) (* (cbrt (/ (- b a) (* b a))) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 43 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- b a) (* b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (sqrt (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ (- b a) (* a b))) (* (sqrt (/ (- b a) (* b a))) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 44 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (* (/ (cbrt (- b a)) a) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 45 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- b a)) b) (* (/ (sqrt (- b a)) a) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 46 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 b) (* (/ (- b a) a) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 47 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (- b a) (* (/ 1 (* b a)) (/ PI (+ b a)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 49 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (* (/ (- b a) (* b a)) PI) (+ a b)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 50 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (* (- b a) (/ PI (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (- b a) (/ PI (+ a b))) (* b a)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 51 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (cbrt (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (cbrt (+ a b)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 63 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (sqrt (+ a b)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (/ PI (sqrt (+ b a))) (sqrt (+ a b)))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 64 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ (/ PI 1) (+ a b))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 65 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (- (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* b b) (* a (- a b))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (* (/ PI (+ (pow b 3) (pow a 3))) (+ (* b b) (* a (- a b))))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 66 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (* (/ PI (- (* b b) (* a a))) (- b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 67 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (* (- b a) PI) (* (* (- b a) 2) (* (* a b) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (- b a) PI) (* (* (- b a) 2) (* (* a b) (+ a b)))) 1)) * * * * [misc]progress: [ 68 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (* (- b a) PI) (* (* (- b a) 2) (* (* a b) (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (- b a) PI) (* (* (- b a) 2) (* (* a b) (+ a b)))) 1)) * * * * [misc]progress: [ 69 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (log (/ PI (+ b a)))) (- (log (/ 1 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (log (* (/ (/ 1 2) (- b a)) (* (/ (- b a) (* a b)) (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ 1 2) (- b a)) (* (/ (- b a) (* a b)) (/ PI (+ a b))))))) * * * * [misc]progress: [ 71 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (log (/ PI (+ b a)))) (log (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (log (* (/ (/ 1 2) (- b a)) (* (/ (- b a) (* a b)) (/ PI (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ 1 2) (- b a)) (* (/ (- b a) (* a b)) (/ PI (+ a b))))))) * * * * [misc]progress: [ 72 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (log (/ PI (+ b a)))) (- (log (/ 1 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (349 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI (+ a b)) (/ (* a b) (- b a))) (/ (/ 1 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI (+ a b)) (/ (* a b) (- b a))) (/ (/ 1 2) (- b a)))))) * * * * [misc]progress: [ 73 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (log (/ PI (+ b a)))) (log (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (log (* (/ (/ 1 2) (- b a)) (* (/ PI (+ a b)) (/ (- b a) (* a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ 1 2) (- b a)) (* (/ PI (+ a b)) (/ (- b a) (* a b))))))) * * * * [misc]progress: [ 74 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (- (log (/ 1 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (log (* (/ (/ 1 2) (- b a)) (/ (* (- b a) PI) (* (* a b) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ 1 2) (- b a)) (/ (* (- b a) PI) (* (* a b) (+ a b))))))) * * * * [misc]progress: [ 75 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (log (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (log (/ (* (/ PI (+ a b)) (/ (- b a) (* a b))) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (/ (* (/ PI (+ a b)) (/ (- b a) (* a b))) (* 2 (- b a)))))) * * * * [misc]progress: [ 76 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (pow (* (* (/ (- b a) (* a b)) (/ PI (+ a b))) (/ (/ 1 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ (- b a) (* a b)) (/ PI (+ a b))) (/ (/ 1 2) (- b a))) 3))) * * * * [misc]progress: [ 79 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) (* (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (416 enodes) * [exit]simplify: Simplified to (pow (* (* (/ (- b a) (* a b)) (/ PI (+ a b))) (/ (/ 1 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ (- b a) (* a b)) (/ PI (+ a b))) (/ (/ 1 2) (- b a))) 3))) * * * * [misc]progress: [ 80 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3))) * * * * [misc]progress: [ 81 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a)))) (* (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (384 enodes) * [exit]simplify: Simplified to (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3))) * * * * [misc]progress: [ 82 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (/ (* (* (/ 1 2) (/ 1 2)) (/ 1 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (385 enodes) * [exit]simplify: Simplified to (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ PI (+ a b)) (/ (- b a) (* a b))) (/ (/ 1 2) (- b a))) 3))) * * * * [misc]progress: [ 83 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (* (/ (- b a) (* b a)) (/ PI (+ b a)))) (* (* (/ (/ 1 2) (- b a)) (/ (/ 1 2) (- b a))) (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (349 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ 1 2) (- b a)) (* (/ PI (+ a b)) (/ (- b a) (* a b)))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ 1 2) (- b a)) (* (/ PI (+ a b)) (/ (- b a) (* a b)))) 3))) * * * * [misc]progress: [ 84 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) PI) (/ 1 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* (* b a) (+ b a)) (- b a)))) * [enter]simplify: Simplifying (* (* (* b a) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (- b a) (* a b)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* (- b a) (* a b)) (+ a b)))) * * * * [misc]progress: [ 88 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) PI) (/ 1 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (* a b)) (/ PI 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (- b a) (* a b)) (/ PI 2)) (* (+ b a) (- b a)))) * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (- b a) (* a b)) (/ PI 2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 89 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (/ PI (+ b a))) (/ 1 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (/ (* (- b a) PI) (* 2 (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (- b a) PI) (* 2 (+ a b))) (* (* b a) (- b a)))) * [enter]simplify: Simplifying (* (* b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * [exit]simplify: Simplified to (* (* a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (* (- b a) PI) (* 2 (+ a b))) (* (* a b) (- b a)))) * * * * [misc]progress: [ 90 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (* (cbrt (/ (/ 1 2) (- b a))) (cbrt (/ (/ 1 2) (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 92 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (sqrt (/ (/ 1 2) (- b a)))) (sqrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 93 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 94 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (- b a)))) (/ (/ 1 (cbrt 2)) (sqrt (- b a))))) * * * * [misc]progress: [ 95 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) (/ (/ 1 (cbrt 2)) (- b a)))) * * * * [misc]progress: [ 96 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (sqrt (/ 1 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (/ 1 2)) (cbrt (- b a))))) * * * * [misc]progress: [ 97 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (sqrt (/ 1 2)) (sqrt (- b a)))) (sqrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 98 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (sqrt (/ 1 2)) 1)) (/ (sqrt (/ 1 2)) (- b a)))) * * * * [misc]progress: [ 99 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ 1 2) (cbrt (- b a))))) * * * * [misc]progress: [ 100 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 (sqrt (- b a)))) (/ (/ 1 2) (sqrt (- b a))))) * * * * [misc]progress: [ 101 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 1)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 102 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ 1 2) (cbrt (- b a))))) * * * * [misc]progress: [ 103 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 (sqrt (- b a)))) (/ (/ 1 2) (sqrt (- b a))))) * * * * [misc]progress: [ 104 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 1)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 105 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) 1) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 106 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 107 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- (pow b 3) (pow a 3)))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 108 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 2) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 109 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) (* a b)) (* (/ PI (+ b a)) (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 110 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ 1 2)) (- b a))) * * * * [misc]progress: [ 111 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) PI) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (* (- b a) PI) (* (- b a) 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (- b a) PI) (* (- b a) 2)) (* (* b a) (+ b a)))) * * * * [misc]progress: [ 112 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) PI) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (* a b)) (/ PI (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ (- b a) (* a b)) (/ PI (* 2 (- b a)))) (+ b a))) * * * * [misc]progress: [ 113 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (/ PI (+ b a))) (/ (/ 1 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (* (- b a) (/ (/ PI (+ a b)) (* 2 (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- b a) (/ (/ PI (+ a b)) (* 2 (- b a)))) (* b a))) * * * * [misc]progress: [ 114 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 116 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 117 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 118 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ PI (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (120 enodes) * [exit]simplify: Simplified to (/ (/ PI b) a) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ PI b) a) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 119 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ PI (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* a b)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 120 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ PI (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ PI (* a b)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 121 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- b a) (* b a)) 0) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 122 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- b a) (* b a)) 0) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 123 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (- b a) (* b a)) 0) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 124 / 126 ] 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: [ 125 / 126 ] 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: [ 126 / 126 ] 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- b a) (* b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1 (/ 1 b))) (* 1 (* (/ 1 a) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking 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 (/ 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 a) 1)) (* -1 (* 1 (/ 1 b)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (- a)) 1)) (* 1 (* 1 (/ 1 (- b))))) into (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 (/ 1 a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 1 a)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 (pow a 2)))) (* (/ 1 a) (/ 1 a))) into (* 2 (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 1 a)))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (pow a 3))) (+ (* (/ 1 a) (- (/ 1 (pow a 2)))) (* 0 (/ 1 a)))) into (- (* 2 (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 0 a)) (* (/ 1 (pow a 3)) (/ 1 a)))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 (pow a 4)))) (+ (* (/ 1 a) (/ 1 (pow a 3))) (+ (* 0 (- (/ 1 (pow a 2)))) (* 0 (/ 1 a))))) into (* 2 (/ 1 (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 a) (/ 1 b))) into (/ -1 (* b a)) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* a 1) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 a) 1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]backup-simplify: Simplify (+ (* a (- (/ 1 a))) (* (- 1) 1)) into (- 2) * [misc]taylor: Taking taylor expansion of (- 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ (/ 1 a) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (/ 1 (pow a 2))) (+ (* (- 1) (- (/ 1 a))) (* 0 1))) into (* 2 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ 0 1)) (* (/ 1 (pow a 2)) (/ (/ 1 a) 1)))) into (- (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (- (/ 1 (pow a 3)))) (+ (* (- 1) (/ 1 (pow a 2))) (+ (* 0 (- (/ 1 a))) (* 0 1)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (* (/ 1 a) (/ 1 b))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* -1 a) -1) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 a)) -1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ 1 a)) (* 1 -1)) into (- 2) * [misc]taylor: Taking taylor expansion of (- 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ (- (/ 1 a)) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (- (/ 1 (pow a 2)))) (+ (* 1 (/ 1 a)) (* 0 -1))) into (* 2 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ 0 -1)) (* (- (/ 1 (pow a 2))) (/ (- (/ 1 a)) -1)))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ 1 (pow a 3))) (+ (* 1 (- (/ 1 (pow a 2)))) (+ (* 0 (/ 1 a)) (* 0 -1)))) into (- (* 2 (/ 1 (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (* (/ 1 (- a)) (/ 1 (- b)))) into (/ 1 (* b a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* -1/2 PI) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in a * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- b a) (* b a)) (/ 1 (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (- a)) into (* -1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* -1 (/ 1 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* (/ -1 a) (* -1/2 (/ PI a))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 1 a)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 (pow a 2)))) (* (/ 1 a) (/ 1 a))) into (* 2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (/ -1 a) (- (* 1/2 (/ PI (pow a 2))))) (* (* 2 (/ 1 (pow a 2))) (* -1/2 (/ PI a)))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (* -1/2 (/ PI a)) (/ 0 (- a))) (* (- (* 1/2 (/ PI (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 1 a)))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (pow a 3))) (+ (* (/ 1 a) (- (/ 1 (pow a 2)))) (* 0 (/ 1 a)))) into (- (* 2 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (+ (* (/ -1 a) (- (* 1/2 (/ PI (pow a 3))))) (+ (* (* 2 (/ 1 (pow a 2))) (- (* 1/2 (/ PI (pow a 2))))) (* (- (* 2 (/ 1 (pow a 3)))) (* -1/2 (/ PI a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) (/ (/ PI 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) (/ 1 (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* a 1) into a * [misc]backup-simplify: Simplify (* a (* 1/2 PI)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 a) 1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]backup-simplify: Simplify (+ (* a (- (/ 1 a))) (* (- 1) 1)) into (- 2) * [misc]backup-simplify: Simplify (+ (* a (* 1/2 (/ PI a))) (* (- 2) (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* (* 1/2 (/ PI a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ (/ 1 a) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* a (/ 1 (pow a 2))) (+ (* (- 1) (- (/ 1 a))) (* 0 1))) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* a (* 1/2 (/ PI (pow a 2)))) (+ (* (- 2) (* 1/2 (/ PI a))) (* (* 2 (/ 1 a)) (* 1/2 PI)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 a) -1) into a * [misc]backup-simplify: Simplify (* a (* -1/2 PI)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 a)) -1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (/ 1 a)) (* 1 -1)) into (- 2) * [misc]backup-simplify: Simplify (+ (* a (- (* 1/2 (/ PI a)))) (* (- 2) (* -1/2 PI))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 PI) (/ 0 -1)) (* (- (* 1/2 (/ PI a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ PI (pow a 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ (- (/ 1 a)) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 a) (- (/ 1 (pow a 2)))) (+ (* 1 (/ 1 a)) (* 0 -1))) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* a (- (* 1/2 (/ PI (pow a 2))))) (+ (* (- 2) (- (* 1/2 (/ PI a)))) (* (* 2 (/ 1 a)) (* -1/2 PI)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- b a)) (log (* b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (log (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (exp (log (/ (- b a) (* a b)))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 3 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (cbrt (pow (/ (- b a) (* a b)) 3)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 6 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b (* b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (- (/ 1 a) (/ a (* b a))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 11 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 12 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 13 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ 1 b) (/ (- b a) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * [enter]simplify: Simplifying (/ (- b a) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * [exit]simplify: Simplified to (/ (- b a) a) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b) (* (* (* (/ 1 b) (/ (- b a) a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 14 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (pow (- b a) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) (/ (* b a) (cbrt (- b a)))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 19 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (sqrt (- b a)) (/ (* b a) (sqrt (- b a)))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 20 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * [exit]simplify: Simplified to (- (pow b 3) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (- (pow b 3) (pow a 3)) (* (* b a) (+ (* b b) (+ (* a a) (* b a))))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 22 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (* (- b a) (+ b a)) (* (* b a) (+ b a))) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 23 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- b a) (* b a)) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (/ (- b a) (* (+ a b) (* a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (pow (/ (- b a) (* (+ a b) (* a b))) 1) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 24 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- b a)) (log (* b a))) (- (log (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (log (* (+ a b) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (* (+ a b) (/ (- b a) (* a b))))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 26 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- b a)) (log (* b a))) (log (/ 1 (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (log (* (/ 1 (+ a b)) (/ (- b a) (* a b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (* (/ 1 (+ a b)) (/ (- b a) (* a b))))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 27 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- b a) (* b a))) (- (log (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (log (/ (/ (- b a) (* a b)) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (/ (/ (- b a) (* a b)) (+ a b)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 28 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- b a) (* b a))) (log (/ 1 (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (log (/ (/ (- b a) (* a b)) (+ a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (log (/ (/ (- b a) (* a b)) (+ a b)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 29 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (284 enodes) * [exit]simplify: Simplified to (pow (* (/ 1 (+ a b)) (/ (- b a) (* a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (* (/ 1 (+ a b)) (/ (- b a) (* a b))) 3)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 32 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (pow (* (/ (- b a) (* a b)) (/ 1 (+ a b))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (* (/ (- b a) (* a b)) (/ 1 (+ a b))) 3)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 33 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (- b a) (* (* b a) (+ b a))) (/ (/ PI 2) (- b a)))) * [enter]simplify: Simplifying (* (* b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * [exit]simplify: Simplified to (* (* a b) (+ a b)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (- b a) (* (* a b) (+ a b))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 37 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (- b a) (* b a)) (+ a b)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 39 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (pow (+ b a) (* -1 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (* (cbrt (/ 1 (+ b a))) (cbrt (/ 1 (+ b a))))) (pow (+ b a) (* -1 1/3))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 40 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (pow (+ b a) (* -1 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (sqrt (/ 1 (+ b a)))) (pow (+ b a) (* -1 1/2))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 41 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) 1) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 42 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) 1) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 43 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (- (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (+ (* b b) (* a (- a b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ (pow b 3) (pow a 3)))) (+ (* b b) (* a (- a b)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 44 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (- (* b b) (* a a)))) (- b a)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 45 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- b a) (* b a))) (cbrt (/ (- b a) (* b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (pow (/ (- b a) (* a b)) (+ 1/3 1/3)) (* (cbrt (/ (- b a) (* b a))) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 46 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- b a) (* b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (sqrt (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (sqrt (/ (- b a) (* a b))) (* (sqrt (/ (- b a) (* b a))) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 47 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (* (/ (cbrt (- b a)) a) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 48 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- b a)) b) (* (/ (sqrt (- b a)) a) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 49 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 b) (* (/ (- b a) a) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 50 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (- b a) (* (/ 1 (* b a)) (/ 1 (+ b a)))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 52 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (* (/ (- b a) (* b a)) 1) (+ a b)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 53 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (/ (- b a) (+ a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (/ (- b a) (+ a b)) (* b a)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 54 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI 2)) (log (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (exp (log (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 57 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI 2) (- b a)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (cbrt (pow (/ (/ PI 2) (- b a)) 3)))) * * * * [misc]progress: [ 60 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 2) (* 1/3 2)) (pow (- b a) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (pow (/ PI 2) (* 1/3 2)) (pow (- b a) (+ 1/3 1/3))) (/ (cbrt (/ PI 2)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (pow (/ PI 2) (* 1/3 2)) (pow (- b a) (+ 1/3 1/3))) (cbrt (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 65 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (- b a))) (/ (cbrt (/ PI 2)) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (pow (/ PI 2) (+ 1/3 1/3)) (sqrt (- b a))) (/ (cbrt (/ PI 2)) (sqrt (- b a)))))) * * * * [misc]progress: [ 66 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (pow (/ PI 2) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (pow (/ PI 2) (+ 1/3 1/3)) (/ (cbrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (pow (/ PI 2) (+ 1/3 1/3)) (/ (cbrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 67 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (pow (- b a) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (sqrt (/ PI 2)) (pow (- b a) (+ 1/3 1/3))) (/ (sqrt (/ PI 2)) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (sqrt (/ PI 2)) (pow (- b a) (+ 1/3 1/3))) (/ (sqrt (/ PI 2)) (cbrt (- b a)))))) * * * * [misc]progress: [ 68 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (sqrt (/ (/ PI 2) (- b a))) (/ (sqrt (/ PI 2)) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (sqrt (/ (/ PI 2) (- b a))) (sqrt (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 69 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (sqrt (/ PI 2)) (/ (sqrt (/ PI 2)) (- b a))))) * * * * [misc]progress: [ 70 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (* (pow (- b a) (- 1/3)) (pow (- b a) (- 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (* (pow (- b a) (- 1/3)) (pow (- b a) (- 1/3))) (/ (/ PI 2) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ PI 2) (cbrt (- b a)))))) * * * * [misc]progress: [ 71 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (pow (- b a) (- 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (pow (- b a) (- 1/2)) (/ (/ PI 2) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ 1 (sqrt (- b a))) (/ (/ PI 2) (sqrt (- b a)))))) * * * * [misc]progress: [ 72 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* 1 (/ (/ PI 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* 1 (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 73 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (/ PI (pow (- b a) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ PI (pow (- b a) (+ 1/3 1/3))) (/ (/ 1 2) (cbrt (- b a)))))) * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ PI (pow (- b a) (+ 1/3 1/3))) (/ (/ 1 2) (cbrt (- b a)))))) * * * * [misc]progress: [ 74 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ PI (sqrt (- b a))) (/ (/ 1 2) (sqrt (- b a)))))) * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ PI (sqrt (- b a))) (/ (/ 1 2) (sqrt (- b a)))))) * * * * [misc]progress: [ 75 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to PI * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* PI (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* PI (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 76 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (cbrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ (/ PI 2) (* (cbrt (- b a)) (cbrt (- b a)))) (cbrt (- b a))))) * * * * [misc]progress: [ 80 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ (/ PI 2) (sqrt (- b a))) (sqrt (- b a))))) * * * * [misc]progress: [ 81 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ (/ PI 2) 1) (- b a)))) * * * * [misc]progress: [ 82 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (/ PI 2) (* 1/3 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (pow (/ PI 2) (* 1/3 2)) (/ (- b a) (cbrt (/ PI 2)))))) * * * * [misc]progress: [ 83 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (sqrt (/ PI 2)) (/ (- b a) (sqrt (/ PI 2)))))) * * * * [misc]progress: [ 84 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (/ PI 2) (- (pow b 3) (pow a 3))) (+ (* b b) (* (+ b a) a))))) * * * * [misc]progress: [ 87 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (/ PI 2) (- (* b b) (* a a))) (+ a b)))) * * * * [misc]progress: [ 88 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (/ (- b a) (* a b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (/ PI 2) (/ (- b a) (* a b))) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 90 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (/ (- b a) (* a b))) (* (- b a) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (/ (* (/ PI 2) (/ (- b a) (* a b))) (* (- b a) (+ a b))) 1)) * * * * [misc]progress: [ 91 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (- (log (+ b a)))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (333 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 93 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (- (log (+ b a)))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 94 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (log (/ 1 (+ b a)))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI 2) (- b a)) (* (/ (- b a) (* a b)) (/ 1 (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI 2) (- b a)) (* (/ (- b a) (* a b)) (/ 1 (+ a b))))))) * * * * [misc]progress: [ 95 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (- b a)) (log (* b a))) (log (/ 1 (+ b a)))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (log (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 96 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (- (log (+ b a)))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 97 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (- (log (+ b a)))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (log (* (* (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (* (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 98 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (log (/ 1 (+ b a)))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (349 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a)))))) * * * * [misc]progress: [ 99 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (- b a) (* b a))) (log (/ 1 (+ b a)))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (* a b) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (* a b) (+ a b))))))) * * * * [misc]progress: [ 100 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (- (log (/ PI 2)) (log (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (* a b) (+ a b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (* a b) (+ a b))))))) * * * * [misc]progress: [ 101 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (log (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (log (* (/ (/ PI 2) (- b a)) (/ (/ (- b a) b) (* (+ a b) a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (log (* (/ (/ PI 2) (- b a)) (/ (/ (- b a) b) (* (+ a b) a)))))) * * * * [misc]progress: [ 102 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (pow (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a))) 3))) * * * * [misc]progress: [ 105 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (416 enodes) * [exit]simplify: Simplified to (pow (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ (- b a) (* a b)) (/ 1 (+ a b))) (/ (/ PI 2) (- b a))) 3))) * * * * [misc]progress: [ 106 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (pow (* (* (/ 1 (+ a b)) (/ (- b a) (* a b))) (/ (/ PI 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ 1 (+ a b)) (/ (- b a) (* a b))) (/ (/ PI 2) (- b a))) 3))) * * * * [misc]progress: [ 107 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ (- b a) (* b a))) (/ (- b a) (* b a))) (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a)))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (384 enodes) * [exit]simplify: Simplified to (pow (* (* (/ 1 (+ a b)) (/ (- b a) (* a b))) (/ (/ PI 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (* (/ 1 (+ a b)) (/ (- b a) (* a b))) (/ (/ PI 2) (- b a))) 3))) * * * * [misc]progress: [ 108 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (386 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ (- b a) (* a b)) (+ a b)) (/ (/ PI 2) (- b a))) 3))) * * * * [misc]progress: [ 109 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (* (/ (- b a) (* b a)) (/ 1 (+ b a)))) (* (* (/ (/ PI 2) (- b a)) (/ (/ PI 2) (- b a))) (/ (/ PI 2) (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (+ a b) (* a b)))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (* (/ (/ PI 2) (- b a)) (/ (- b a) (* (+ a b) (* a b)))) 3))) * * * * [misc]progress: [ 110 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) 1) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* (* b a) (+ b a)) (- b a)))) * [enter]simplify: Simplifying (* (* (* b a) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (* (* (- b a) (* a b)) (+ a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ PI 2) (- b a)) (* (* (- b a) (* a b)) (+ a b)))) * * * * [misc]progress: [ 114 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- b a) (* b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (/ PI 2) (/ (- b a) (* a b))) (* (+ b a) (- b a)))) * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (/ (- b a) (* b a)) (/ PI 2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 115 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) 1) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) b) (* (/ 2 PI) a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- b a) b) (* (/ 2 PI) a)) (* (+ b a) (- b a)))) * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (/ (- b a) b) (* (/ 2 PI) a)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 116 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (/ 1 (+ b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (/ (- b a) (* (/ 2 PI) (+ a b))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (- b a) (* (/ 2 PI) (+ a b))) (* (* b a) (- b a)))) * [enter]simplify: Simplifying (* (* b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * [exit]simplify: Simplified to (* (* a b) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (- b a) (* (/ 2 PI) (+ a b))) (* (* a b) (- b a)))) * * * * [misc]progress: [ 117 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (* (cbrt (/ (/ PI 2) (- b a))) (cbrt (/ (/ PI 2) (- b a))))) (cbrt (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 119 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (sqrt (/ (/ PI 2) (- b a)))) (sqrt (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 120 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 121 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (- b a)))) (/ (cbrt (/ PI 2)) (sqrt (- b a))))) * * * * [misc]progress: [ 122 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1)) (/ (cbrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 123 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (sqrt (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (sqrt (/ PI 2)) (cbrt (- b a))))) * * * * [misc]progress: [ 124 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (sqrt (/ PI 2)) (sqrt (- b a)))) (sqrt (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 125 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI 2)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI 2)) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (sqrt (/ PI 2)) 1)) (/ (sqrt (/ PI 2)) (- b a)))) * * * * [misc]progress: [ 126 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ PI 2) (cbrt (- b a))))) * * * * [misc]progress: [ 127 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ 1 (sqrt (- b a)))) (/ (/ PI 2) (sqrt (- b a))))) * * * * [misc]progress: [ 128 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ 1 1)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 129 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (cbrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ PI (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ 1 2) (cbrt (- b a))))) * * * * [misc]progress: [ 130 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ PI (sqrt (- b a)))) (/ (/ 1 2) (sqrt (- b a))))) * * * * [misc]progress: [ 131 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ PI 1)) (/ (/ 1 2) (- b a)))) * * * * [misc]progress: [ 132 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) (- b a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) 1) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 133 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ PI 2)) (/ 1 (- b a)))) * * * * [misc]progress: [ 134 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (+ (* b b) (* (+ b a) a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- (pow b 3) (pow a 3)))) (+ (* b b) (* (+ b a) a)))) * * * * [misc]progress: [ 135 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 136 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (- b a) (* a b)) (* (/ 1 (+ b a)) (/ (/ PI 2) (- b a))))) * * * * [misc]progress: [ 137 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ PI 2)) (- b a))) * * * * [misc]progress: [ 138 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) 1) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (/ (* (/ PI 2) (- b a)) (- b a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (/ PI 2) (- b a)) (- b a)) (* (* b a) (+ b a)))) * * * * [misc]progress: [ 139 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- b a) (* b a)) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (* a b)) (* (- b a) (/ 2 PI))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- b a) (* a b)) (* (- b a) (/ 2 PI))) (+ b a))) * * * * [misc]progress: [ 140 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) 1) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (/ PI 2)) (* (* a b) (- b a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (* (- b a) (/ PI 2)) (* (* a b) (- b a))) (+ b a))) * * * * [misc]progress: [ 141 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (231 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (+ a b)) (* (- b a) (/ 2 PI))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (/ (/ (- b a) (+ a b)) (* (- b a) (/ 2 PI))) (* b a))) * * * * [misc]progress: [ 142 / 154 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 144 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 145 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (- b a) (* a b)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 146 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ -1 (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ -1 (* a b)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 147 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ 1 (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* a b)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 148 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * [exit]simplify: Simplified to (/ 1 (* a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (* a b)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 149 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) 0)) * * * * [misc]progress: [ 150 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) 0)) * * * * [misc]progress: [ 151 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) 0)) * * * * [misc]progress: [ 152 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 153 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 154 / 154 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- b a) (* b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ b b) into 1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of (/ (- b a) (* b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ (- a) a) into -1 * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a) (+ (* -1 (/ 0 a)))) into (/ 1 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 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) 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 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* -1 (/ 0 a)) (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (* 1 (/ 1 b))) (* 1 (* (/ 1 a) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ -1 (/ 1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 b) (/ 1 a)) (* (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking 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 (/ 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))))) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [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)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 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)) (* 0 (/ 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- 1) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 a) 1)) (* -1 (* 1 (/ 1 b)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- b)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ -1 (/ 1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 0)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))))) 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 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* -1 a) (/ 0 (/ 1 a))) (* 1 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (- a)) 1)) (* 1 (* 1 (/ 1 (- b))))) into (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 2) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- b a))) in a * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- b a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- b a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- b a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 b) into (/ 1/2 b) * [misc]backup-simplify: Simplify (log (/ 1/2 b)) into (log (/ 1/2 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/2 b))) into (* 1/3 (log (/ 1/2 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/2 b)))) into (pow (/ 1/2 b) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- b a))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- b a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- b a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- b a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1/2 (- a)) into (/ -1/2 a) * [misc]backup-simplify: Simplify (log (/ -1/2 a)) into (log (/ -1/2 a)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -1/2 a))) into (* 1/3 (log (/ -1/2 a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -1/2 a)))) into (pow (/ -1/2 a) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- b a))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- b a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- b a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- b a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ 1/2 (- a)) into (/ -1/2 a) * [misc]backup-simplify: Simplify (log (/ -1/2 a)) into (log (/ -1/2 a)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -1/2 a))) into (* 1/3 (log (/ -1/2 a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -1/2 a)))) into (pow (/ -1/2 a) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ -1/2 a) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1/2 a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1/2 a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1/2 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1/2 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1/2)) into (- (log -1/2) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log a))) into (* 1/3 (- (log -1/2) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log a)))) into (exp (* 1/3 (- (log -1/2) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log a)))) into (exp (* 1/3 (- (log -1/2) (log a)))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 (pow a 2))))) 1)) (pow (/ -1/2 a) 1)))) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 a)) (* 0 (log (/ -1/2 a)))) into (* 1/3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ -1/2 a)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 1) 1)))) into (* 1/3 (pow (/ -1/2 (pow a 4)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ -1/2 (pow a 4)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1/2 (pow a 4)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1/2 (pow a 4))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1/2 (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1/2 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ -1/2 (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 (pow a 4) in a * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 4) (log a)) (log -1/2)) into (- (log -1/2) (* 4 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (* 4 (log a)))) into (* 1/3 (- (log -1/2) (* 4 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (* 4 (log a))))) into (exp (* 1/3 (- (log -1/2) (* 4 (log a))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1/2) (* 4 (log a)))))) into (* 1/3 (exp (* 1/3 (- (log -1/2) (* 4 (log a)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1/2) (* 4 (log a)))))) into (* 1/3 (exp (* 1/3 (- (log -1/2) (* 4 (log a)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1/2)) into (- (log -1/2) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1/2) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ -1/2 a) (/ 0 (- a))) (* (- (* 1/2 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1/2 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 (pow a 2))))) 2)) (pow (/ -1/2 a) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow a 3))))) 1)) (pow (/ -1/2 a) 1)))) 2) into (/ 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow a 2))) (+ (* 0 (/ 1 a)) (* 0 (log (/ -1/2 a))))) into (* 1/6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ -1/2 a)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow a 2))) 1) 1)))) into (* 2/9 (pow (/ -1/2 (pow a 7)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 2/9 (pow (/ -1/2 (pow a 7)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 2/9 in a * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1/2 (pow a 7)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1/2 (pow a 7))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1/2 (pow a 7)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1/2 (pow a 7))) in a * [misc]taylor: Taking taylor expansion of (/ -1/2 (pow a 7)) 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 (pow a 7) in a * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- 7) (log a)) (log -1/2)) into (- (log -1/2) (* 7 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (* 7 (log a)))) into (* 1/3 (- (log -1/2) (* 7 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (* 7 (log a))))) into (exp (* 1/3 (- (log -1/2) (* 7 (log a))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log -1/2) (* 7 (log a)))))) into (* 2/9 (exp (* 1/3 (- (log -1/2) (* 7 (log a)))))) * [misc]backup-simplify: Simplify (* 2/9 (exp (* 1/3 (- (log -1/2) (* 7 (log a)))))) into (* 2/9 (exp (* 1/3 (- (log -1/2) (* 7 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (exp (* 1/3 (- (log -1/2) (* 7 (log a)))))) (pow (* 1 b) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1/2) (* 4 (log a)))))) (* 1 b)) (exp (* 1/3 (- (log -1/2) (log a)))))) into (+ (* 2/9 (* (exp (* 1/3 (- (log -1/2) (* 7 (log a))))) (pow b 2))) (+ (exp (* 1/3 (- (log -1/2) (log a)))) (* 1/3 (* (exp (* 1/3 (- (log -1/2) (* 4 (log a))))) b)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 -1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1/2)) into (+ (log -1/2) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log a))) into (* 1/3 (+ (log -1/2) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log a)))) into (exp (* 1/3 (+ (log -1/2) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log 1/2)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log 1/2)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log 1/2) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log 1/2) (log b)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 1)) (pow 1/2 1)))) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log 1/2)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 a)) (* 0 (+ (log 1/2) (log b)))) into (* 1/3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 1/2) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log 1/2) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log 1/2) (log b)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log 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 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) 1) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (* 1/2 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow a 2)))) 1)) (pow 1/2 1)))) 2) into (/ 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log 1/2)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow a 2))) (+ (* 0 (/ 1 a)) (* 0 (+ (log 1/2) (log b))))) into (* 1/6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow a 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2/9 in a * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log 1/2) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log 1/2) (log b)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 1/2) (log b)))) 1) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* (* 1/2 (/ 1 a)) (/ 0 1)) (* (* 1/2 (/ 1 (pow a 2))) (/ (- (/ 1 a)) 1)))) into (* 1/2 (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (/ 1 a))) 1) (pow (* 2 (* 1/2 (/ 1 (pow a 2)))) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/2 (/ 1 (pow a 3)))) 1)) (pow 1/2 1)))) 6) into (/ 1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log 1/2)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow a 3))) (+ (* 0 (/ 1/2 (pow a 2))) (+ (* 0 (/ 1 a)) (* 0 (+ (log 1/2) (log b)))))) into (* 1/9 (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 a)) 1) 1) (/ (pow (* 1/6 (/ 1 (pow a 2))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow a 3))) 1) 1)))) into (* 14/81 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* 14/81 (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 14/81 in a * [misc]backup-simplify: Simplify 14/81 into 14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log 1/2) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log 1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log 1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log 1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log 1/2) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log 1/2) (log b)) into (+ (log 1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log b))) into (* 1/3 (+ (log 1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log b)))) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log 1/2) (log b)))) 1) into (exp (* 1/3 (+ (log 1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log 1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log 1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log (/ 1 b))))) into (exp (* 1/3 (+ (log 1/2) (log (/ 1 b))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [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 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log 1/2)) into (+ (log 1/2) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log a))) into (* 1/3 (+ (log 1/2) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log a)))) into (exp (* 1/3 (+ (log 1/2) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log -1/2)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 2) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log -1/2)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log -1/2) (log b)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 a))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 a)))) 1)) (pow -1/2 1)))) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log -1/2)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 a)) (* 0 (+ (log -1/2) (log b)))) into (* 1/3 (/ 1 a)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -1/2) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log -1/2) (log b)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log 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 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) 1) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (+ (log -1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (- (* 1/2 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ 1 a)))) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow a 2))))) 1)) (pow -1/2 1)))) 2) into (/ 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log -1/2)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow a 2))) (+ (* 0 (/ 1 a)) (* 0 (+ (log -1/2) (log b))))) into (* 1/6 (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow a 2))) 1) 1)))) into (* 2/9 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 2/9 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 2/9 in a * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log -1/2) (log b)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -1/2) (log b)))) 1) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -1/2) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 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) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* (- (* 1/2 (/ 1 a))) (/ 0 -1)) (* (- (* 1/2 (/ 1 (pow a 2)))) (/ (/ 1 a) -1)))) into (- (* 1/2 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ 1 a)))) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ 1 a)))) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow a 2))))) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/2 (/ 1 (pow a 3))))) 1)) (pow -1/2 1)))) 6) into (/ 1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log -1/2)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 (pow a 3))) (+ (* 0 (/ 1/2 (pow a 2))) (+ (* 0 (/ 1 a)) (* 0 (+ (log -1/2) (log b)))))) into (* 1/9 (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow (* 1/3 (/ 1 a)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 a)) 1) 1) (/ (pow (* 1/6 (/ 1 (pow a 2))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 (pow a 3))) 1) 1)))) into (* 14/81 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* 14/81 (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 14/81 in a * [misc]backup-simplify: Simplify 14/81 into 14/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (+ (log -1/2) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log -1/2) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log -1/2) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log -1/2) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1/2) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (+ (log -1/2) (log b)) into (+ (log -1/2) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log -1/2) (log b))) into (* 1/3 (+ (log -1/2) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log b)))) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (+ (log -1/2) (log b)))) 1) into (exp (* 1/3 (+ (log -1/2) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log -1/2) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log -1/2) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log -1/2) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log -1/2) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (+ (log -1/2) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 14/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log -1/2) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log -1/2) (log (/ 1 (- b)))))) into (exp (* 1/3 (+ (log -1/2) (log (/ -1 b))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in a * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* 1/3 (log b)) into (* 1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log b))) into (pow b 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- b a)) in b * [misc]taylor: Rewrote expression to (pow (- b a) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- b a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- b a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- b a)) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (log (- a)) into (log (- a)) * [misc]backup-simplify: Simplify (* 1/3 (log (- a))) into (* 1/3 (log (- a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- a)))) into (pow (- a) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- a) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- a)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log -1))) into (* 1/3 (+ (log a) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log -1)))) into (exp (* 1/3 (+ (log a) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- a) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- a)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log -1)) into (- (log -1) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 2 (log a)))) into (* 1/3 (- (log -1) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 2 (log a))))) into (exp (* 1/3 (- (log -1) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log -1)) into (+ (log a) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- a) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- a) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- a))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ -1 (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ -1 (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ -1 (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ -1 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log -1)) into (- (log -1) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (* 5 (log a)))) into (* 1/3 (- (log -1) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (* 5 (log a))))) into (exp (* 1/3 (- (log -1) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log a)))))) (pow (* 1 b) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log a)))))) (* 1 b)) (exp (* 1/3 (+ (log a) (log -1)))))) into (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log a))) into (* 1/3 (- (log -1) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log a)))) into (exp (* 1/3 (- (log -1) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 b) (/ 1 a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log b))) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]taylor: Taking taylor expansion of (pow b -1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (log b))) in a * [misc]taylor: Taking taylor expansion of (* -1/3 (log b)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (* -1/3 (log b)) into (* -1/3 (log b)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log b))) into (pow b -1/3) * [misc]backup-simplify: Simplify (pow b -1/3) into (pow b -1/3) * [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 (/ (* (pow (* 1 (- (/ 1 a))) 1)) (pow 1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (* (pow (/ 1 b) 1/3) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* -1/3 (* (pow (/ 1 b) 1/3) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 b) 1/3) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 b) 1/3) 1) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 b) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (log b))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 1) 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 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 (/ (* (pow (* 1 (- (/ 1 a))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (* (pow (/ 1 b) 1/3) (/ 1 (pow a 2)))) * [misc]taylor: Taking taylor expansion of (* -1/9 (* (pow (/ 1 b) 1/3) (/ 1 (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 b) 1/3) (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 b) 1/3) 1) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 a))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 a))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) 0) into (- (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log b))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (* (pow (/ 1 b) 1/3) (/ 1 (pow a 3)))) * [misc]taylor: Taking taylor expansion of (* -5/81 (* (pow (/ 1 b) 1/3) (/ 1 (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 b) 1/3) (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (log (/ 1 b)) into (log (/ 1 b)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 b))) into (* 1/3 (log (/ 1 b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 b)))) into (pow (/ 1 b) 1/3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 b) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 b) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 b) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 b) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 b) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 b) 1/3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow (/ 1 b) 1/3) 1) into (pow (/ 1 b) 1/3) * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 b) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 b) -1/3) into (pow (/ 1 b) -1/3) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log a))) into (* -1/3 (log a)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log a))) into (pow a -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- b)) (/ 1 (- a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 a)) 1)) (pow -1 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log -1) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log 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 (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 a)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 a)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 a)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log -1)) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log -1) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -1) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log -1) (log b)) in a * [misc]taylor: Taking taylor expansion of (log -1) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log b))) into (- (log -1) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log b))) into (* 1/3 (- (log -1) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log b)))) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log -1) (log b)))) 1) into (exp (* 1/3 (- (log -1) (log b)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log b)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log b))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- b)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- b a)) (log (* b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (log (/ (- b a) (* a b))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (exp (log (/ (- b a) (* a b)))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- b a) (- b a)) (- b a)) (* (* (* b a) (* b a)) (* b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (170 enodes) * [exit]simplify: Simplified to (pow (/ (- b a) (* a b)) 3) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (cbrt (pow (/ (- b a) (* a b)) 3)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ b (* b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * [exit]simplify: Simplified to (/ 1 a) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (- (/ 1 a) (/ a (* b a))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- b a)) (cbrt (- b a))) b) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * [exit]simplify: Simplified to (/ (pow (- b a) (+ 1/3 1/3)) b) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (cbrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) b) (/ (cbrt (- b a)) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- b a)) b) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) b) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (sqrt (- b a)) a) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (- b a)) a) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (* (* (* (/ (sqrt (- b a)) b) (/ (sqrt (- b a)) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 b) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (* (/ 1 b) (/ (- b a) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (/ (- b a) a) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * [exit]simplify: Simplified to (/ (- b a) a) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a b) (* (* (* (* (/ 1 b) (/ (- b a) a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (pow (- b a) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (/ (pow (- b a) (+ 1/3 1/3)) (/ (* b a) (cbrt (- b a)))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- b a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * [exit]simplify: Simplified to (sqrt (- b a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (/ (sqrt (- b a)) (/ (* b a) (sqrt (- b a)))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * [exit]simplify: Simplified to (- (pow b 3) (pow a 3)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (/ (- (pow b 3) (pow a 3)) (* (* b a) (+ (* b b) (+ (* a a) (* b a))))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b b) (* a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * [exit]simplify: Simplified to (* (- b a) (+ b a)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a b) (* (* (* (/ (* (- b a) (+ b a)) (* (* b a) (+ b a))) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ 1 2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (/ 1 2) (+ 1/3 1/3)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (/ 1 2) (+ 1/3 1/3)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (/ 1 (cbrt 2)) (+ 1 1)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (cbrt (/ 1 2)) 1) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 2) (/ 1 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) 2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (/ (/ 1 2) 2) 1/3) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/3 2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (pow (/ 1 2) (* 1/3 2)) 1) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (pow (/ 1 (cbrt 2)) (+ 1 1)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ 1 2))) (log (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * [exit]simplify: Simplified to (/ 0 0) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (exp (/ 0 0)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 31 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 2) (/ 1 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) 2) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (cbrt (/ (/ 1 2) 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt 1) (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * [enter]simplify: Simplifying (* (cbrt 2) (cbrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (* (cbrt 2) (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/3 1/3)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (cbrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2))))) (pow (/ 1 2) (* 1/3 1/3))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (cbrt (sqrt (/ 1 2)))) (pow (/ 1 2) (* 1/2 1/3))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (cbrt 1)) (/ 1 (cbrt 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (cbrt 1)) (/ 1 (cbrt 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/3 1/3)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (* (cbrt (cbrt (/ 1 2))) (cbrt (cbrt (/ 1 2))))) (pow (/ 1 2) (* 1/3 1/3))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 44 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) (sqrt (cbrt (/ 1 2)))) (pow (/ 1 2) (* 1/3 1/2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 45 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (cbrt (/ 1 2)) 1) (/ 1 (cbrt 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 1 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (pow (/ 1 2) (* 1/3 2))) (* (cbrt (cbrt (/ 1 2))) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (pow (/ 1 2) (* 1/2 1/3)) (* (cbrt (sqrt (/ 1 2))) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* 1 (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* 1 (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ 1 2))) (cbrt (cbrt (/ 1 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * [exit]simplify: Simplified to (* (pow (/ 1 2) (* 1/3 1/3)) (pow (/ 1 2) (* 1/3 1/3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (* (pow (/ 1 2) (* 1/3 1/3)) (pow (/ 1 2) (* 1/3 1/3))) (* (cbrt (cbrt (/ 1 2))) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ 1 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (pow (/ 1 2) (* 1/3 1/2)) (* (sqrt (cbrt (/ 1 2))) (cbrt (/ 1 2)))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 2) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ (* (cbrt (/ 1 2)) (cbrt 1)) (cbrt 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt 1) (cbrt (/ 1 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (/ (cbrt (/ 1 2)) (cbrt 2)) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ 1 2) (- b a))) (cbrt (/ (/ 1 2) (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ (/ 1 2) (- b a)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (pow (/ (/ 1 2) (- b a)) (+ 1/3 1/3))) (cbrt (cbrt (/ (/ 1 2) (- b a))))))) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (164 enodes) * [exit]simplify: Simplified to (pow (/ (/ 1 2) (- b a)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (/ (/ 1 2) (- b a)) (* 1/2 1/3)) (cbrt (sqrt (/ (/ 1 2) (- b a))))))) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 1 2) (* 1/3 2)) (pow (- b a) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (/ (pow (/ 1 2) (* 1/3 2)) (pow (- b a) (+ 1/3 1/3)))) (cbrt (/ (cbrt (/ 1 2)) (cbrt (- b a))))))) * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (/ 1 2) (* 1/3 2)) (sqrt (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (/ (pow (/ 1 2) (* 1/3 2)) (sqrt (- b a)))) (cbrt (/ (cbrt (/ 1 2)) (sqrt (- b a))))))) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (119 enodes) * [exit]simplify: Simplified to (pow (cbrt (/ 1 2)) (* 2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (cbrt (/ 1 2)) (* 2 1/3)) (cbrt (/ (cbrt (/ 1 2)) (- b a)))))) * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 1 2)) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ 1 2)) (pow (- b a) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (/ (sqrt (/ 1 2)) (pow (- b a) (+ 1/3 1/3)))) (cbrt (/ (sqrt (/ 1 2)) (cbrt (- b a))))))) * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 1 2)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (/ 1 2) (- b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (sqrt (cbrt (/ (/ 1 2) (- b a)))) (cbrt (/ (sqrt (/ 1 2)) (sqrt (- b a))))))) * * * * [misc]progress: [ 67 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ 1 2)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (pow (/ 1 2) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (/ 1 2) (* 1/2 1/3)) (cbrt (/ (sqrt (/ 1 2)) (- b a)))))) * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (pow (pow (- b a) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (pow (- b a) (+ 1/3 1/3)) (* -1 1/3)) (cbrt (/ (/ 1 2) (cbrt (- b a))))))) * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- b a)) (* -1 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (sqrt (- b a)) (* -1 1/3)) (cbrt (/ (/ 1 2) (sqrt (- b a))))))) * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* 1 (cbrt (/ (/ 1 2) (- b a)))))) * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (141 enodes) * [exit]simplify: Simplified to (pow (pow (- b a) (+ 1/3 1/3)) (* -1 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (pow (- b a) (+ 1/3 1/3)) (* -1 1/3)) (cbrt (/ (/ 1 2) (cbrt (- b a))))))) * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * [exit]simplify: Simplified to (pow (sqrt (- b a)) (* -1 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (pow (sqrt (- b a)) (* -1 1/3)) (cbrt (/ (/ 1 2) (sqrt (- b a))))))) * * * * [misc]progress: [ 73 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* 1 (cbrt (/ (/ 1 2) (- b a)))))) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* 1 (cbrt (/ (/ 1 2) (- b a)))))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (/ 1 (cbrt 2)) (cbrt (/ 1 (- b a)))))) * * * * [misc]progress: [ 76 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 2) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (202 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (- (pow b 3) (pow a 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (/ (/ 1 2) (- (pow b 3) (pow a 3)))) (cbrt (+ (* b b) (+ (* a a) (* b a))))))) * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 2) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (182 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 1 2) (+ a b)) (- b a))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (* (cbrt (/ (/ (/ 1 2) (+ a b)) (- b a))) (cbrt (+ b a))))) * * * * [misc]progress: [ 78 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ 1 (cbrt 2)) (cbrt (- b a))))) * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * [exit]simplify: Simplified to (cbrt (pow (- b a) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (* (cbrt (pow (- b a) (+ 1/3 1/3))) (cbrt (cbrt (- b a))))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- b a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * [exit]simplify: Simplified to (pow (- b a) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (* (pow (- b a) (* 1/2 1/3)) (cbrt (sqrt (- b a))))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (* 1 (cbrt (- b a)))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * [exit]simplify: Simplified to (cbrt (- (pow b 3) (pow a 3))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (/ (cbrt (- (pow b 3) (pow a 3))) (cbrt (+ (* b b) (+ (* a a) (* b a)))))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* b b) (* a a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (cbrt (* (- b a) (+ b a))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (/ (cbrt (* (- b a) (+ b a))) (cbrt (+ b a)))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * [exit]simplify: Simplified to (/ (- b a) (* a b)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (/ (- b a) (* a b)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (cbrt (/ (/ 1 2) (- b a)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (390 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ a b)) (/ (- b a) (* a b))) (* (- b a) 2)) * [misc]simplify: Simplified (2) to (λ (a b) (/ (* (/ PI (+ a b)) (/ (- b a) (* a b))) (* (- b a) 2))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2/9 (* (exp (* 1/3 (- (log -1/2) (* 7 (log a))))) (pow b 2))) (+ (exp (* 1/3 (- (log -1/2) (log a)))) (* 1/3 (* (exp (* 1/3 (- (log -1/2) (* 4 (log a))))) b)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (488 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ -1/2 (pow a 4)) 1/3) (* b 1/3)) (+ (* (* 2/9 (* b b)) (pow (/ -1/2 (pow a 7)) 1/3)) (pow (/ -1/2 a) 1/3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (+ (* (pow (/ -1/2 (pow a 4)) 1/3) (* b 1/3)) (+ (* (* 2/9 (* b b)) (pow (/ -1/2 (pow a 7)) 1/3)) (pow (/ -1/2 a) 1/3))))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log 1/2) (log (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (pow (/ 1/2 b) 1/3) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (pow (/ 1/2 b) 1/3))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log -1/2) (log (/ -1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (pow (* (/ -1 b) -1/2) 1/3) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (cbrt (- b a))))) (pow (* (/ -1 b) -1/2) 1/3))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log a) (log -1)))) (+ (* 1/3 (* b (exp (* 1/3 (- (log -1) (* 2 (log a))))))) (* 1/9 (* (pow b 2) (exp (* 1/3 (- (log -1) (* 5 (log a))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (479 enodes) * [exit]simplify: Simplified to (- (- (pow (* -1 a) 1/3) (* (pow (/ -1 (* a a)) 1/3) (* 1/3 b))) (* (* 1/9 (* b b)) (pow (/ -1 (pow a 5)) 1/3))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (- (- (pow (* -1 a) 1/3) (* (pow (/ -1 (* a a)) 1/3) (* 1/3 b))) (* (* 1/9 (* b b)) (pow (/ -1 (pow a 5)) 1/3)))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 b) -1/3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (pow b (* -1 -1/3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (pow b (* -1 -1/3))))) (cbrt (/ (/ 1 2) (- b a))))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log -1) (log (/ -1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (* (/ -1 -1) b) 1/3) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a b) (* (* (* (/ (- b a) (* b a)) (/ PI (+ b a))) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt (- b a)) (pow (* (/ -1 -1) b) 1/3)))) (cbrt (/ (/ 1 2) (- b a))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (sqrt (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a))))) (sqrt (* (/ (- b a) (* b a)) (/ (/ PI 2) (- (* b b) (* a a)))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* (/ (- b a) (* b a)) (/ 1 (+ b a))) (/ (/ PI 2) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (+ a b)) (/ (- b a) (* a b))) (/ (/ PI 2) (- b a))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1344 additional inputs, on iter 1 have 6656 / 8000 * * * * [misc]points: Computing exacts on every 84 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 42 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 21 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1344 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1344 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 246 additional inputs, on iter 2 have 7754 / 8000 * * * * [misc]points: Computing exacts on every 15 of 246 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 246 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 246 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 246 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 38 additional inputs, on iter 3 have 7962 / 8000 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 38 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 4 have 7990 / 8000 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs