* [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: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 59 additional inputs, on iter 1 have 197 / 256 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 59 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 2 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 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 (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) 0) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (pow (* x a) 2)) (* 1 (* x a)))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [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 (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 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 x * [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) 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [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 (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 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 x * [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) 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x a) 2)) (+ (* 1 (* x a)) 1)) into (+ (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 a) (/ 1 x)))) into (exp (* a x)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* a x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* a x)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (+ 1 (sqrt (exp (* a x)))) (- (sqrt (exp (* a x))) 1))) * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (- (pow (exp a) x) 1)) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* a x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (- (exp (* a x)) 1)) * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x)) * [misc]simplify: Simplified (2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2) to (λ (a x) (- (exp (* a x)) 1)) * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2) to (λ (a x) (- (exp (* a x)) 1)) * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (* (* a x) (* a x))) (+ 1 (* a x))) * [misc]simplify: Simplified (2 1) to (λ (a x) (- (+ (* 1/2 (* (* a x) (* a x))) (+ 1 (* a x))) 1)) * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 1) to (λ (a x) (- (exp (* a x)) 1)) * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 1) to (λ (a x) (- (exp (* a x)) 1)) * * * [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 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* x 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 0 1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 x) into (* 1/6 x) * [misc]approximate: Taking taylor expansion of (* (/ 1 x) 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1 1/6) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (/ 1 x))) into (* 1/6 x) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* -1 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 1/6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (/ 1 (/ 1 (- x)))) into (* 1/6 x) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (* a x) (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (pow x 2) * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 x) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 x)) (/ 1 (/ 1 a))) 2)) into (* (pow a 2) (pow x 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (- x))) (/ 1 (/ 1 (- a)))) 2)) into (* (pow a 2) (pow x 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (* a (* x 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* a (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* a (* x 1/6)) in a * [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 (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* a (* x 1/6)) in a * [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 (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* x 1/6) into (* 1/6 x) * [misc]backup-simplify: Simplify (* 0 (* 1/6 x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/6 x))) into (* 1/6 x) * [misc]taylor: Taking taylor expansion of (* 1/6 x) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/6 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/6 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* 1/6 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 (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/6 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (* x a)) into (* 1/6 (* a x)) * [misc]approximate: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) 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 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) 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 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ 1 x) 1/6) into (/ 1/6 x) * [misc]backup-simplify: Simplify (* 1 (/ 1/6 x)) into (/ 1/6 x) * [misc]taylor: Taking taylor expansion of (/ 1/6 x) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1/6 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1/6 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) 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 (/ 1/6 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a)))) into (* 1/6 (* a x)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) 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 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) 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 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ -1 x) 1/6) into (/ -1/6 x) * [misc]backup-simplify: Simplify (* -1 (/ -1/6 x)) into (/ 1/6 x) * [misc]taylor: Taking taylor expansion of (/ 1/6 x) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 1/6)) 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 (/ -1/6 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 1/6))) 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 (/ -1/6 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) 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 (/ -1/6 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a))))) into (* 1/6 (* a x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) in x * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1/2 (* a (* x 1/6))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* a (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ 1/2 (* a (* x 1/6))) 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 (* x 1/6)) in a * [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 (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* a x) (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ 1/2 (* a (* x 1/6))) 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 (* x 1/6)) in a * [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 (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* x 1/6) into (* 1/6 x) * [misc]backup-simplify: Simplify (* 0 (* 1/6 x)) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/6 x))) into (* 1/6 x) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 x)) into (* 1/6 x) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/6 x)) (* 0 1/2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* x 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/6 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (pow x 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (* 1/6 x)) (* (pow x 2) 1/2))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/6 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 x) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (pow x 2) (* 1/6 x)) (* 0 1/2)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) 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 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 a) (/ 1 x)) (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ 1/2 (* (/ 1 a) (* (/ 1 x) 1/6))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (* (/ 1 x) 1/6)) 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 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1/6) into (/ 1/6 x) * [misc]backup-simplify: Simplify (* 1 (/ 1/6 x)) into (/ 1/6 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 x)) into (* 1/6 (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (pow x 2)) (* 1/6 (/ 1 x))) into (/ 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (/ 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1/6 x))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 1/2) (* 0 (* 1/6 (/ 1 x)))) into (* 1/2 (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1/6 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) 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 (/ 1/6 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) 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 (/ 1/6 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/6 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a))) 2)) (* 1/6 (pow (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a))) 3))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 1/2 (* (pow a 2) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) 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 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- a)) (/ 1 (- x))) (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ 1/2 (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (* (/ 1 (- x)) 1/6)) 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 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) * [misc]backup-simplify: Simplify (* (/ -1 x) 1/6) into (/ -1/6 x) * [misc]backup-simplify: Simplify (* -1 (/ -1/6 x)) into (/ 1/6 x) * [misc]backup-simplify: Simplify (+ 0 (/ 1/6 x)) into (* 1/6 (/ 1 x)) * [misc]backup-simplify: Simplify (* (/ 1 (pow x 2)) (* 1/6 (/ 1 x))) into (/ 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (/ 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (/ 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 1/6)) 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 (/ -1/6 x))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 1/2) (* 0 (* 1/6 (/ 1 x)))) into (* 1/2 (/ 1 (pow x 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 1/6))) 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 (/ -1/6 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) 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 (/ -1/6 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) 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 (/ -1/6 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1/6 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow x 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 (* 1/6 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a)))) 2)) (* 1/6 (pow (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a)))) 3))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 1/2 (* (pow a 2) (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (+ (* (pow (* a x) (+ 1 1)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (+ (* (pow (* a x) (+ 1 1)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a x) (* a x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* a x) (* a x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (+ (* (pow (* (* a x) (* a x)) 1) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (+ (* (pow (* a x) (+ 1 1)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* a x)) (log (* a x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (+ (* (exp (+ (log (* a x)) (log (* a x)))) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (pow (* (* a x) (* a x)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (+ (* (cbrt (pow (* (* a x) (* a x)) 3)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (+ (* (* a x) 1/6) 1/2) (* (* a x) (* a x))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (pow (* (+ (* (* a x) 1/6) 1/2) (* (* a x) (* a x))) 1) (* a x))) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (* (+ (* (* a x) 1/6) 1/2) (* (* a x) (* a x))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (pow (* (+ (* (* a x) 1/6) 1/2) (* (* a x) (* a x))) 1) (* a x))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* a x)) (log (* a x))) (log (+ 1/2 (* a (* x 1/6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (+ (log (+ 1/2 (* (* 1/6 x) a))) (+ (log (* a x)) (log (* a x)))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (exp (+ (log (+ 1/2 (* (* 1/6 x) a))) (+ (log (* a x)) (log (* a x))))) (* a x))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* a x) (* a x))) (log (+ 1/2 (* a (* x 1/6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ (log (+ 1/2 (* (* 1/6 x) a))) (+ (log (* a x)) (log (* a x)))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (exp (+ (log (+ 1/2 (* (* 1/6 x) a))) (+ (log (* a x)) (log (* a x))))) (* a x))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x))) (* (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6)))) (+ 1/2 (* a (* x 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (* (pow (* (* a x) (* a x)) 3) (+ 1/2 (* a (* x 1/6)))) (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6))))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (cbrt (* (* (pow (* (* a x) (* a x)) 3) (+ 1/2 (* a (* x 1/6)))) (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6)))))) (* a x))) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* a x) (* a x)) (* (* a x) (* a x))) (* (* a x) (* a x))) (* (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6)))) (+ 1/2 (* a (* x 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6)))) (* (* (pow (* a x) 3) (pow (* a x) 3)) (+ 1/2 (* a (* x 1/6))))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (cbrt (* (* (+ 1/2 (* a (* x 1/6))) (+ 1/2 (* a (* x 1/6)))) (* (* (pow (* a x) 3) (pow (* a x) 3)) (+ 1/2 (* a (* x 1/6)))))) (* a x))) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* a x) (* a x)) (* a (* x 1/6))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (* a (* a x)) (* (* a x) (* x 1/6))) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (+ (* (* (* a x) (* a x)) 1/2) (* (* a (* a x)) (* (* a x) (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a (* x 1/6)) (* (* a x) (* a x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (* (* 1/6 x) a)) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (+ (* 1/2 (* (* a x) (* a x))) (* (* (* a x) (* a x)) (* (* 1/6 x) a))) (* a x))) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1/2 (* a (* x 1/6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x (* 1/6 a)) 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (* (* (* (* a x) (* a x)) (* (cbrt (+ 1/2 (* a (* x 1/6)))) (cbrt (+ 1/2 (* a (* x 1/6)))))) (cbrt (+ (* x (* 1/6 a)) 1/2))) (* a x))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1/2 (* a (* x 1/6)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x (* 1/6 a)) 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (* (* (* (* a x) (* a x)) (sqrt (+ 1/2 (* a (* x 1/6))))) (sqrt (+ (* x (* 1/6 a)) 1/2))) (* a x))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 (* a (* x 1/6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (* x a)) 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (* (* (* (* a x) (* a x)) 1) (+ (* 1/6 (* x a)) 1/2)) (* a x))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (* (* a x) (* (* a x) (+ 1/2 (* a (* x 1/6))))) (* a x))) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 1/2) (- (* (* a (* x 1/6)) (* a (* x 1/6))) (* 1/2 (* a (* x 1/6))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (- (* (* x (* 1/6 a)) (* x (* 1/6 a))) (- (* (* x 1/6) (* 1/2 a)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (/ (* (* (* a x) (* a x)) (+ (pow 1/2 3) (pow (* a (* x 1/6)) 3))) (- (* (* x (* 1/6 a)) (* x (* 1/6 a))) (- (* (* x 1/6) (* 1/2 a)) (* 1/2 1/2)))) (* a x))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/2 (* a (* x 1/6))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (- 1/2 (* 1/6 (* x a))) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (+ (/ (* (* (* a x) (* a x)) (- (* 1/2 1/2) (* (* a (* x 1/6)) (* a (* x 1/6))))) (- 1/2 (* 1/6 (* x a)))) (* a x))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 x) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* 1/6 x)))) (* a x))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 x) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* 1/6 x)))) (* a x))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/6 x) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* 1/6 x)))) (* a x))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (* 0 (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow x 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x x) (* a a)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (* (* (* x x) (* a a)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow a 2) (pow x 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x x) (* a a)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (+ (* (* (* x x) (* a a)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* a x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x a) 1/6) * [misc]simplify: Simplified (2 1 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* (* x a) 1/6))) (* a x))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* a x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x a) 1/6) * [misc]simplify: Simplified (2 1 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* (* x a) 1/6))) (* a x))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 (* a x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x a) 1/6) * [misc]simplify: Simplified (2 1 2 2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* (* x a) 1/6))) (* a x))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a x) (+ 0 (* a x))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 1/2 (* (pow a 2) (pow x 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* 1/6 (* a x)) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ (* 1/6 (* a x)) 1/2)) (* a x))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 1/2 (* (pow a 2) (pow x 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* 1/6 (* a x)) 1/2)) * [misc]simplify: Simplified (2 1) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ (* 1/6 (* a x)) 1/2)) (* a x))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (pow x 2))) (+ (* x x) (* (* 1/2 (pow x 2)) 1))) into (* 2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) 0) into (* 2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow x 3))) (+ (* x (* 1/2 (pow x 2))) (+ (* (* 1/2 (pow x 2)) x) (* (* 1/6 (pow x 3)) 1)))) into (* 4/3 (pow x 3)) * [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 (+ (* 4/3 (pow x 3)) 0) into (* 4/3 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 4/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 4/3 in x * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow x 4))) (+ (* x (* 1/6 (pow x 3))) (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (+ (* (* 1/6 (pow x 3)) x) (* (* 1/24 (pow x 4)) 1))))) into (* 2/3 (pow x 4)) * [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 (+ (* 2/3 (pow x 4)) 0) into (* 2/3 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 2/3 in x * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/120 (pow x 5))) (+ (* x (* 1/24 (pow x 4))) (+ (* (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* (* 1/6 (pow x 3)) (* 1/2 (pow x 2))) (+ (* (* 1/24 (pow x 4)) x) (* (* 1/120 (pow x 5)) 1)))))) into (* 4/15 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/15 (pow x 5)) 0) into (* 4/15 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 4/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 4/15 in x * [misc]backup-simplify: Simplify 4/15 into 4/15 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/720 (pow x 6))) (+ (* x (* 1/120 (pow x 5))) (+ (* (* 1/2 (pow x 2)) (* 1/24 (pow x 4))) (+ (* (* 1/6 (pow x 3)) (* 1/6 (pow x 3))) (+ (* (* 1/24 (pow x 4)) (* 1/2 (pow x 2))) (+ (* (* 1/120 (pow x 5)) x) (* (* 1/720 (pow x 6)) 1))))))) into (* 4/45 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/45 (pow x 6)) 0) into (* 4/45 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 4/45 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 4/45 in x * [misc]backup-simplify: Simplify 4/45 into 4/45 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 4/3 1) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow (* x a) 3)) (+ (* 2 (pow (* x a) 2)) (* 2 (* x a)))) into (+ (* 2 (* (pow a 2) (pow x 2))) (+ (* 2 (* a x)) (* 4/3 (* (pow a 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]taylor: Taking taylor expansion of (- (pow (exp (/ 1 (* a x))) 2) 1) in x * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) -1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 2 (* a x))) 1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) 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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 2 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* 2 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]taylor: Taking taylor expansion of (- (pow (exp (/ 1 (* a x))) 2) 1) in x * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) -1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 2 (* a x))) 1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) 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 (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 2 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* 2 (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (+ (* 1 a) (* a 1)) into (* 2 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 a) 0) into (* 2 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 2 a) 2) into a * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (pow x 2))) (+ (* x x) (* (* 1/2 (pow x 2)) 1))) into (* 2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) 0) into (* 2 (pow x 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (- (/ (* 2 (pow x 2)) 2) (+ (* x (/ x 2)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow x 3))) (+ (* x (* 1/2 (pow x 2))) (+ (* (* 1/2 (pow x 2)) x) (* (* 1/6 (pow x 3)) 1)))) into (* 4/3 (pow x 3)) * [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 (+ (* 4/3 (pow x 3)) 0) into (* 4/3 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) 0) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (pow x 3)) 2) (+ (* x (/ (* 1/2 (pow x 2)) 2)) (* (* 1/2 (pow x 2)) (/ x 2)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow x 4))) (+ (* x (* 1/6 (pow x 3))) (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (+ (* (* 1/6 (pow x 3)) x) (* (* 1/24 (pow x 4)) 1))))) into (* 2/3 (pow x 4)) * [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 (+ (* 2/3 (pow x 4)) 0) into (* 2/3 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- (/ (* 2/3 (pow x 4)) 2) (+ (* x (/ (* 1/6 (pow x 3)) 2)) (* (* 1/2 (pow x 2)) (/ (* 1/2 (pow x 2)) 2)) (* (* 1/6 (pow x 3)) (/ x 2)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/120 (pow x 5))) (+ (* x (* 1/24 (pow x 4))) (+ (* (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* (* 1/6 (pow x 3)) (* 1/2 (pow x 2))) (+ (* (* 1/24 (pow x 4)) x) (* (* 1/120 (pow x 5)) 1)))))) into (* 4/15 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/15 (pow x 5)) 0) into (* 4/15 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- (/ (* 4/15 (pow x 5)) 2) (+ (* x (/ (* 1/24 (pow x 4)) 2)) (* (* 1/2 (pow x 2)) (/ (* 1/6 (pow x 3)) 2)) (* (* 1/6 (pow x 3)) (/ (* 1/2 (pow x 2)) 2)) (* (* 1/24 (pow x 4)) (/ x 2)))) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (pow (* x a) 2)) (* 1 (* x a)))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) (+ (exp (* (/ 1 a) (/ 1 x))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) (+ (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) (+ (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) (+ (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (pow (exp (/ 1 (* a x))) 2) 1) in x * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) -1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* (/ 1 a) (/ 1 x)))) 1) (+ (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) * [misc]approximate: Taking taylor expansion of (/ (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) -1) into (- (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (pow (exp (/ 1 (* a x))) 2) 1) in x * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) -1) into (- (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 (* a x))) 1)) (+ (* (/ (- (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))) (* 0 (/ 0 (+ (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ 2 (* (/ 1 (- a)) (/ 1 (- x))))) 1) (+ (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (pow x 2))) (+ (* x x) (* (* 1/2 (pow x 2)) 1))) into (* 2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow x 3))) (+ (* x (* 1/2 (pow x 2))) (+ (* (* 1/2 (pow x 2)) x) (* (* 1/6 (pow x 3)) 1)))) into (* 4/3 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 4/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 4/3 in x * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow x 4))) (+ (* x (* 1/6 (pow x 3))) (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (+ (* (* 1/6 (pow x 3)) x) (* (* 1/24 (pow x 4)) 1))))) into (* 2/3 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 2/3 in x * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (* x a) 2)) (+ (* 2 (* x a)) 1)) into (+ (* 2 (* a x)) (+ (* 2 (* (pow a 2) (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 2 (* (/ 1 a) (/ 1 x)))) into (exp (* 2 (* a x))) * [misc]approximate: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 2 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* 2 (* a x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) 0) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x a) 2)) (+ (* 1 (* x a)) 2)) into (+ (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) 2)) * [misc]approximate: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (+ 1 (exp (* a x))) * [misc]approximate: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (+ 1 (exp (* a x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (exp (* a x)) (exp (* a x)))) (exp (* 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (exp (- (pow (exp x) (+ a a)) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (log (exp (- (pow (exp x) (+ a a)) 1))) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* a x)) 1) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (* (+ (exp (* a x)) 1) (- (exp (* a x)) 1)) (+ (exp (* a x)) 1))) * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2 1 2) to (λ (a x) (/ (* (+ (exp (* a x)) 1) (- (exp (* a x)) 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (log (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (- (log (- (pow (exp a) (+ x x)) 1)) (log (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (exp (- (log (- (pow (exp a) (+ x x)) 1)) (log (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (* (* (+ (exp (* a x)) 1) (+ (exp (* a x)) 1)) (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (pow (- (exp (* a x)) 1) 3) * [misc]simplify: Simplified (2 1) to (λ (a x) (cbrt (pow (- (exp (* a x)) 1) 3))) * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (* a x)) (exp (* a x))) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (pow (exp x) (+ a a)) (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (a x) (- (/ (pow (exp x) (+ a a)) (+ (exp (* a x)) 1)) (/ (* 1 1) (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))) (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (* (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1)))) (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (* (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1)))) (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (+ (exp (* a x)) 1))) (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (+ (exp (* a x)) 1))) (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (exp (* a x)) 1)))) * [enter]simplify: Simplifying (/ (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (/ (sqrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (cbrt (+ (exp (* a x)) 1))) (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (/ (sqrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ (exp (* a x)) 1))) (cbrt (+ (exp (* a x)) 1))) (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))) (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))) (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (sqrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp a) (+ x x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (sqrt (- (pow (exp a) (+ x x)) 1)) (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (exp (* a x)) 1)))) * [enter]simplify: Simplifying (/ (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (sqrt (- (pow (exp a) (+ x x)) 1)) (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 (exp (* x a))))) (cbrt (+ 1 (exp (* x a))))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (/ 1 (cbrt (+ 1 (exp (* x a))))) (cbrt (+ 1 (exp (* x a))))) (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (cbrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ 1 (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) (/ (- (pow (exp x) (+ a a)) 1) (cbrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (exp (* x a))))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ 1 (sqrt (+ 1 (exp (* x a))))) (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (sqrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ 1 (sqrt (+ (exp (* a x)) 1))) (/ (- (pow (exp x) (+ a a)) 1) (sqrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a x) (* 1 (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)))) * [enter]simplify: Simplifying (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (* 1 (- (exp (* a x)) 1))) * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* a x)) 1) (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (/ (+ (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (/ (+ (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))) (cbrt (+ (exp (* a x)) 1))) (/ (- (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (- (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (+ (exp (* a x)) 1) (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) (/ (- (exp (* a x)) 1) (cbrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (+ (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) (/ (- (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))))) * [enter]simplify: Simplifying (/ (- (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (+ (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))) (/ (- (exp (* a x)) 1) (sqrt (+ (exp (* a x)) 1))))) * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* a x)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (exp (* a x)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (+ (exp (* a x)) 1) (/ (- (exp (* a x)) 1) (+ (exp (* a x)) 1)))) * [enter]simplify: Simplifying (/ (- (exp (* a x)) 1) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (exp (* a x)) 1) (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (+ (exp (* a x)) 1) (/ (- (exp (* a x)) 1) (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) (cbrt (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (sqrt (+ (exp (* a x)) 1))) (sqrt (+ (exp (* a x)) 1)))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* a x)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) 1) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (* (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (- (pow (exp a) (+ x x)) 1))) (/ (+ (exp (* a x)) 1) (cbrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))))) * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp x) (+ a a)) 1)) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (sqrt (- (pow (exp x) (+ a a)) 1)) (/ (+ (exp (* a x)) 1) (sqrt (- (* (exp (* a x)) (exp (* a x))) (* 1 1)))))) * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* a x)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ (exp (* a x)) 1) (/ (+ (exp (* a x)) 1) (- (exp (* a x)) 1)))) * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp (* a x)) (exp (* a x))) (- (* 1 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (- 1 (exp (* a x))) (pow (exp x) (+ a a))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (pow (exp (* a x)) 3) (pow 1 3))) (+ (- 1 (exp (* a x))) (pow (exp x) (+ a a))))) * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) (- (exp (* a x)) 1))) * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (exp (* a x)) (exp (* a x))) 3) (pow (* 1 1) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (- (pow (exp (+ x x)) (+ a (+ a a))) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (exp (+ x x)) (+ a (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (+ (* (* 1 1) (* 1 1)) (* (* (exp (* a x)) (exp (* a x))) (* 1 1))))))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (* (* 1 1) (* 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (- (exp (* (+ x x) (+ a a))) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (exp (* a x)) (+ 1 1)) (* 1 1)) (+ (exp (* a x)) 1))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (/ (- (pow (exp (* a x)) (+ 1 1)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (exp a) (+ x x)) (* 1 1)) (+ (exp (* a x)) 1))) * [enter]simplify: Simplifying (+ x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ x x) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (/ (- (pow (exp a) (+ x x)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a x)) (exp (* a x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (pow (exp a) (+ x x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (pow (exp a) (+ x x)) 1) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp a) (exp a)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (exp a) (exp a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (* (exp a) (exp a)) x) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (exp (* a x)) (+ 1 1)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a x) (* a x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (+ x x) a) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (exp (* (+ x x) a)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (exp (* a x)) (exp (* a x))) (exp (* a x))) (* (* (exp (* a x)) (exp (* a x))) (exp (* a x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (pow (exp (* a x)) (+ (+ 1 3) (+ 1 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (cbrt (pow (exp (* a x)) (+ (+ 1 3) (+ 1 1)))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* a x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (/ (- (* (* (exp (* a x)) (* (cbrt (exp (* a x))) (cbrt (exp (* a x))))) (cbrt (exp (* a x)))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* a x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (/ (- (* (* (exp (* a x)) (sqrt (exp (* a x)))) (sqrt (exp (* a x)))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a x) (/ (- (* (* (exp (* a x)) 1) (exp (* a x))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (* (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (* (cbrt (exp (* a x))) (exp (* a x)))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* a x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (* (sqrt (exp (* a x))) (* (sqrt (exp (* a x))) (exp (* a x)))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (* (pow a 2) (pow x 2))) (+ (* 2 (* a x)) (* 4/3 (* (pow a 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (+ (* 2 (+ (* (* x a) (* x a)) (* x a))) (* (* (* x a) (* x a)) (* 4/3 (* x a)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ (* 2 (+ (* (* x a) (* x a)) (* x a))) (* (* (* x a) (* x a)) (* 4/3 (* x a)))) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 2 (* a x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (pow (exp 2) (* x a)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (exp 2) (* x a)) 1) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 2 (* a x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (pow (exp 2) (* x a)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (exp 2) (* x a)) 1) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x)) * [misc]simplify: Simplified (2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [misc]simplify: Simplified (2) to (λ (a x) (- (exp (* x a)) 1)) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [misc]simplify: Simplified (2) to (λ (a x) (- (exp (* x a)) 1)) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (* a x)) (+ (* 2 (* (pow a 2) (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ (* x a) 1) (* (* x a) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (+ 1 (* (+ (* x a) 1) (* (* x a) 2))) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp a) (* 2 x)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (pow (exp a) (* 2 x)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp a) (* 2 x)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (pow (exp a) (* 2 x)) (* 1 1)) (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a x) (+ (* 1/2 (* (pow a 2) (pow x 2))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) 1/2) (* a x)) (+ (* a x) 2)) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (* (* (* a x) 1/2) (* a x)) (+ (* a x) 2)))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ 1 (exp (* x a))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in a * [misc]taylor: Taking taylor expansion of (+ x x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [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 (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 x) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 x) 2) (* 0 0)) into (* 4 x) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -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 (* (exp 0) (+ (* (/ (pow (* 4 a) 1) 1)))) into (* 4 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 a) 0) into (* 4 a) * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (* 2 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 8 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (pow a 2)) 0) into (* 8 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 8 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (* 2 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 3) 6)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 32/3 (pow a 3)) 0) into (* 32/3 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* 32/3 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 32/3 in a * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* 4 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 4) 24)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 32/3 (pow a 4)) 0) into (* 32/3 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* 32/3 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 32/3 in a * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* 8 1) into 8 * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (+ (* 4 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 5) 120)) (* (/ (pow (* 4 a) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 128/15 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 128/15 (pow a 5)) 0) into (* 128/15 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* 128/15 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 128/15 in a * [misc]backup-simplify: Simplify 128/15 into 128/15 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* 8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 6) 720)) (* (/ (pow (* 4 a) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 256/45 (pow a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 256/45 (pow a 6)) 0) into (* 256/45 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 256/45 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 256/45 in a * [misc]backup-simplify: Simplify 256/45 into 256/45 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* 32/3 1) into 32/3 * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]backup-simplify: Simplify (+ (* 32/3 (pow (* a x) 3)) (+ (* 8 (pow (* a x) 2)) (* 4 (* a x)))) into (+ (* 8 (* (pow a 2) (pow x 2))) (+ (* 4 (* a x)) (* 32/3 (* (pow a 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 x) (/ 1 x)) into (* 2 (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 x)) 2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 4 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [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 (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 4 (* a x))) 1) into (- (exp (/ 4 (* a x))) 1) * [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 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]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 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]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 (- (exp (/ 4 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* 4 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 x) (/ -1 x)) into (- (* 2 (/ 1 x))) * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (* (- (* 2 (/ 1 x))) -2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 4 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [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 (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 4 (* a x))) 1) into (- (exp (/ 4 (* a x))) 1) * [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 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]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 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]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 (- (exp (/ 4 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* 4 (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) in a * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in a * [misc]taylor: Taking taylor expansion of (+ x x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [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 (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 x) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 x) 2) (* 0 0)) into (* 4 x) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 x) 1) 1)))) into (* 4 x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 x) 0) into (* 4 x) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ (* 4 x) 4) into x * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 1) 1)))) into (* 4 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 a) 0) into (* 4 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ (* 4 a) 4) into a * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ x x) (+ a a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 1) 1)))) into (* 4 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 a) 0) into (* 4 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ (* 4 a) 4) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (* 2 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 8 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (pow a 2)) 0) into (* 8 (pow a 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (+ (* 1 a) (* a 1)) into (* 2 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 a) 0) into (* 2 a) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ (* 2 (* 2 a)) (* a 2)) into (* 6 a) * [misc]backup-simplify: Simplify (- (/ (* 8 (pow a 2)) 4) (+ (* a (/ (* 6 a) 4)))) into (* 1/2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (pow a 2) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (* 2 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 3) 6)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 32/3 (pow a 3)) 0) into (* 32/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (pow a 2))) (+ (* a a) (* (* 1/2 (pow a 2)) 1))) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (pow a 2)) 0) into (* 2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 2 (* 2 (pow a 2))) (+ (* a (* 2 a)) (* (* 1/2 (pow a 2)) 2))) into (* 7 (pow a 2)) * [misc]backup-simplify: Simplify (- (/ (* 32/3 (pow a 3)) 4) (+ (* a (/ (* 7 (pow a 2)) 4)) (* (* 1/2 (pow a 2)) (/ (* 6 a) 4)))) into (* 1/6 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 4) 24)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 32/3 (pow a 4)) 0) into (* 32/3 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 3) 6)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 3) 6)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow a 3))) (+ (* a (* 1/2 (pow a 2))) (+ (* (* 1/2 (pow a 2)) a) (* (* 1/6 (pow a 3)) 1)))) into (* 4/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow a 3)) 0) into (* 4/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 3) 6)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1/6 (pow a 3)) 0) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 2 (* 4/3 (pow a 3))) (+ (* a (* 2 (pow a 2))) (+ (* (* 1/2 (pow a 2)) (* 2 a)) (* (* 1/6 (pow a 3)) 2)))) into (* 6 (pow a 3)) * [misc]backup-simplify: Simplify (- (/ (* 32/3 (pow a 4)) 4) (+ (* a (/ (* 6 (pow a 3)) 4)) (* (* 1/2 (pow a 2)) (/ (* 7 (pow a 2)) 4)) (* (* 1/6 (pow a 3)) (/ (* 6 a) 4)))) into (* 1/24 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 1/24 in a * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 5) 120)) (* (/ (pow (* 4 a) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 128/15 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 128/15 (pow a 5)) 0) into (* 128/15 (pow a 5)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow a 4))) (+ (* a (* 1/6 (pow a 3))) (+ (* (* 1/2 (pow a 2)) (* 1/2 (pow a 2))) (+ (* (* 1/6 (pow a 3)) a) (* (* 1/24 (pow a 4)) 1))))) into (* 2/3 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow a 4)) 0) into (* 2/3 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 2 (* 2/3 (pow a 4))) (+ (* a (* 4/3 (pow a 3))) (+ (* (* 1/2 (pow a 2)) (* 2 (pow a 2))) (+ (* (* 1/6 (pow a 3)) (* 2 a)) (* (* 1/24 (pow a 4)) 2))))) into (* 49/12 (pow a 4)) * [misc]backup-simplify: Simplify (- (/ (* 128/15 (pow a 5)) 4) (+ (* a (/ (* 49/12 (pow a 4)) 4)) (* (* 1/2 (pow a 2)) (/ (* 6 (pow a 3)) 4)) (* (* 1/6 (pow a 3)) (/ (* 7 (pow a 2)) 4)) (* (* 1/24 (pow a 4)) (/ (* 6 a) 4)))) into (* 1/120 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 1/120 in a * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* a x) 3)) (+ (* 1/2 (pow (* a x) 2)) (* 1 (* a x)))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)))) in a * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 x) (/ 1 x)) into (* 2 (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 x)) 2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 a) (/ 1 x))) 1) (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 4 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (* a x))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in a * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [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 (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) 1) into (+ (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 2 (* a x))) 1) 0) (* 0 (+ (exp (/ 1 (* a x))) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 2 (* a x))) 1) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1)))) (* 0 (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 (/ (- (exp (/ 4 (* (/ 1 a) (/ 1 x)))) 1) (* (+ (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) (+ (exp (/ 2 (* (/ 1 a) (/ 1 x)))) 1))) into (/ (- (exp (* 4 (* a x))) 1) (* (+ (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))) * [misc]approximate: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)))) in a * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 x) (/ -1 x)) into (- (* 2 (/ 1 x))) * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (* (- (* 2 (/ 1 x))) -2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in a * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)))) in x * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) (* 1 1)) in x * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (pow (exp (/ 1 (* a x))) 2) 1) into (+ (pow (exp (/ 1 (* a x))) 2) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 1 (* a x))) 1) (+ (pow (exp (/ 1 (* a x))) 2) 1)) into (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 4 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (* a x))) 2) 1) in a * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in a * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [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 (+ (exp (/ 4 (* a x))) -1) into (- (exp (/ 4 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 2 (* a x))) 1) into (+ (exp (/ 2 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) 1) into (+ (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (* (+ (exp (/ 2 (* a x))) 1) (+ (exp (/ 1 (* a x))) 1)) into (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1)) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) * [misc]backup-simplify: Simplify (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) into (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 2 (* a x))) 1) 0) (* 0 (+ (exp (/ 1 (* a x))) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 2 (* a x))) 1) 0) (+ (* 0 0) (* 0 (+ (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1))) (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 1)))) (* 0 (/ 0 (* (+ (exp (/ 1 (* a x))) 1) (+ (exp (/ 2 (* a x))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (exp (/ 1 (* a x))) 1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (pow (exp (/ 1 (* a x))) 2) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (+ (* (/ (- (exp (/ 4 (* a x))) 1) (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1))) (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 1)))) (* 0 (/ 0 (* (+ (pow (exp (/ 1 (* a x))) 2) 1) (+ (exp (/ 1 (* a x))) 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 (/ (- (exp (/ 4 (* (/ 1 (- a)) (/ 1 (- x))))) 1) (* (+ (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) (+ (exp (/ 2 (* (/ 1 (- a)) (/ 1 (- x))))) 1))) into (/ (- (exp (* 4 (* a x))) 1) (* (+ (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (exp (* a x)) (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (pow x 2))) (+ (* x x) (* (* 1/2 (pow x 2)) 1))) into (* 2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow x 3))) (+ (* x (* 1/2 (pow x 2))) (+ (* (* 1/2 (pow x 2)) x) (* (* 1/6 (pow x 3)) 1)))) into (* 4/3 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 4/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 4/3 in x * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow x 4))) (+ (* x (* 1/6 (pow x 3))) (+ (* (* 1/2 (pow x 2)) (* 1/2 (pow x 2))) (+ (* (* 1/6 (pow x 3)) x) (* (* 1/24 (pow x 4)) 1))))) into (* 2/3 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 2/3 in x * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (* x a) 2)) (+ (* 2 (* x a)) 1)) into (+ (* 2 (* a x)) (+ (* 2 (* (pow a 2) (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 a) (/ 1 x))) (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 2 (* (/ 1 a) (/ 1 x)))) into (exp (* 2 (* a x))) * [misc]approximate: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (* (exp (* (/ 1 (- a)) (/ 1 (- x)))) (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (pow (exp (/ 1 (* a x))) 2) * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (* a x))) 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (* a x)))) into (/ 1 (* a x)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* a x))) into (/ 2 (* a x)) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 2 (* a x))) into (exp (/ 2 (* a x))) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* a x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0) 2)) (pow (exp (/ 1 (* a x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 2 (* a x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 2 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* 2 (* a x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in a * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in a * [misc]taylor: Taking taylor expansion of (+ x x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [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 (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 2 x) 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 x) 2) (* 0 0)) into (* 4 x) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (+ x x) (+ a a))) in x * [misc]taylor: Taking taylor expansion of (* (+ x x) (+ a a)) in x * [misc]taylor: Taking taylor expansion of (+ x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ a a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ a a) into (* 2 a) * [misc]backup-simplify: Simplify (* 0 (* 2 a)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (* 2 a))) into (* 4 a) * [misc]backup-simplify: Simplify (exp 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 (* (exp 0) (+ (* (/ (pow (* 4 a) 1) 1)))) into (* 4 a) * [misc]taylor: Taking taylor expansion of (* 4 a) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 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) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (* 2 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 8 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 8 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 8 in a * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* 4 1) (* 0 0)) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (* 2 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 3) 6)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* 32/3 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 32/3 in a * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* 4 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 4 a) 4) 24)) (* (/ (pow (* 4 a) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 4 a) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 32/3 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* 32/3 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 32/3 in a * [misc]backup-simplify: Simplify 32/3 into 32/3 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* 8 1) into 8 * [misc]backup-simplify: Simplify 8 into 8 * [misc]backup-simplify: Simplify (+ (* 8 (pow (* a x) 2)) (+ (* 4 (* a x)) 1)) into (+ (* 4 (* a x)) (+ (* 8 (* (pow a 2) (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [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 x) (/ 1 x)) into (* 2 (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 x)) 2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 a)) into (* 2 (/ 1 a)) * [misc]backup-simplify: Simplify (* 2 (* 2 (/ 1 a))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 x) (/ 1 x)) (+ (/ 1 a) (/ 1 a)))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [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]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]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 (exp (/ 4 (* (/ 1 a) (/ 1 x)))) into (exp (* 4 (* a x))) * [misc]approximate: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [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 x) (/ -1 x)) into (- (* 2 (/ 1 x))) * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (* (- (* 2 (/ 1 x))) -2) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [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 -2 * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 a)) into (- (* 2 (/ 1 a))) * [misc]backup-simplify: Simplify (* -2 (- (* 2 (/ 1 a)))) into (/ 4 a) * [misc]backup-simplify: Simplify (exp (* (+ (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- a)) (/ 1 (- a))))) into (exp (/ 4 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 4 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 4 (* a x)) in a * [misc]taylor: Taking taylor expansion of 4 in a * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* a x) in a * [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 x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (/ 4 x) into (/ 4 x) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 4 (* a x))) into (exp (/ 4 (* a x))) * [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]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]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 (exp (/ 4 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* 4 (* a x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* (+ x x) a)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp a) (+ x x))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (* (+ 1 (pow (exp a) (+ x x))) (- (exp (* (+ x x) a)) 1)) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a (+ x x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp x) (+ a a))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (* (+ 1 (pow (exp x) (+ a a))) (- (exp (* a (+ x x))) 1)) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (+ x x) (+ a a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (+ 1 (fabs (pow (exp a) (+ x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (* (+ 1 (fabs (pow (exp a) (+ x x)))) (- (sqrt (exp (* (+ x x) (+ a a)))) 1)) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (exp (* (+ x x) (+ a a))) 1)) (+ (log (+ (exp (* a x)) 1)) (log (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (- (log (+ (exp (* x a)) 1))) (- 0 (log (- (pow (exp x) (+ a a)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (exp (- (- (log (+ (exp (* x a)) 1))) (- 0 (log (- (pow (exp x) (+ a a)) 1)))))) * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (exp (* (+ x x) (+ a a))) 1)) (log (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (- (log (- (exp (* (+ a a) (+ x x))) 1)) (log (* (+ (pow (exp a) (+ x x)) 1) (+ (exp (* x a)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (exp (- (log (- (exp (* (+ a a) (+ x x))) 1)) (log (* (+ (pow (exp a) (+ x x)) 1) (+ (exp (* x a)) 1)))))) * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (exp (* (+ x x) (+ a a))) 1) (- (exp (* (+ x x) (+ a a))) 1)) (- (exp (* (+ x x) (+ a a))) 1)) (* (* (* (+ (exp (* a x)) 1) (+ (exp (* a x)) 1)) (+ (exp (* a x)) 1)) (* (* (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (/ (pow (- (exp (* (+ a a) (+ x x))) 1) 3) (* (pow (+ 1 (exp (* x a))) 3) (pow (+ 1 (pow (exp a) (+ x x))) 3))) * [misc]simplify: Simplified (2 1) to (λ (a x) (cbrt (/ (pow (- (exp (* (+ a a) (+ x x))) 1) 3) (* (pow (+ 1 (exp (* x a))) 3) (pow (+ 1 (pow (exp a) (+ x x))) 3))))) * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (exp (* (+ x x) (+ a a))) 1) (- (exp (* (+ x x) (+ a a))) 1)) (- (exp (* (+ x x) (+ a a))) 1)) (* (* (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (pow (/ (- (exp (* (+ a a) (+ x x))) 1) (* (+ 1 (pow (exp x) (+ a a))) (+ 1 (exp (* x a))))) 3) * [misc]simplify: Simplified (2 1) to (λ (a x) (cbrt (pow (/ (- (exp (* (+ a a) (+ x x))) 1) (* (+ 1 (pow (exp x) (+ a a))) (+ 1 (exp (* x a))))) 3))) * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ x x) (+ a a))) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * [exit]simplify: Simplified to (* (/ (pow (exp a) (+ x x)) (+ (pow (exp a) (+ x x)) 1)) (/ (pow (exp a) (+ x x)) (+ (exp (* x a)) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (- (* (/ (pow (exp a) (+ x x)) (+ (pow (exp a) (+ x x)) 1)) (/ (pow (exp a) (+ x x)) (+ (exp (* x a)) 1))) (/ 1 (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))))) * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (exp (* (+ x x) (+ a a))) 1)) (cbrt (- (exp (* (+ x x) (+ a a))) 1))) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (/ (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (exp (* x a))))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (* (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (/ (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (exp (* x a))))) (/ (cbrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (cbrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (pow (exp x) (+ a a)))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (* (cbrt (- (exp (* (+ x x) (+ a a))) 1)) (cbrt (- (exp (* (+ x x) (+ a a))) 1))) (+ (exp (* a x)) 1)) (/ (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (pow (exp x) (+ a a)))))) * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (* (+ a a) (+ x x))) 1)) (+ (exp (* x a)) 1)) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (sqrt (- (exp (* (+ a a) (+ x x))) 1)) (+ (exp (* x a)) 1)) (/ (sqrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (pow (exp x) (+ a a)))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (sqrt (- (exp (* (+ x x) (+ a a))) 1)) (+ (exp (* a x)) 1)) (/ (sqrt (- (exp (* (+ a a) (+ x x))) 1)) (+ 1 (pow (exp x) (+ a a)))))) * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (exp (* x a)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ 1 (+ 1 (exp (* x a)))) (/ (- (exp (* (+ x x) (+ a a))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (- (exp (* (+ x x) (+ a a))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ 1 (+ (exp (* a x)) 1)) (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (+ x x) a)) 1) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (exp a) (+ x x))) (+ 1 (exp (* x a)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (+ 1 (pow (exp a) (+ x x))) (+ 1 (exp (* x a)))) (/ (- (exp (* (+ x x) a)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (- (exp (* (+ x x) a)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (pow (exp x) (+ a a)))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (+ (exp (* (+ x x) a)) 1) (+ (exp (* a x)) 1)) (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (pow (exp x) (+ a a)))))) * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (exp x) (+ a a))) (+ 1 (exp (* a x)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (+ 1 (pow (exp x) (+ a a))) (+ 1 (exp (* a x)))) (/ (- (exp (* a (+ x x))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (- (exp (* a (+ x x))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (pow (exp a) (+ x x)))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (+ (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (pow (exp a) (+ x x)))))) * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (exp (* (+ x x) (+ a a)))) 1) (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (+ 1 (fabs (pow (exp a) (+ x x)))) (+ 1 (exp (* x a)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (* (/ (+ 1 (fabs (pow (exp a) (+ x x)))) (+ 1 (exp (* x a)))) (/ (- (sqrt (exp (* (+ x x) (+ a a)))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * [enter]simplify: Simplifying (/ (- (sqrt (exp (* (+ x x) (+ a a)))) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (- (fabs (pow (exp x) (+ a a))) 1) (+ (pow (exp x) (+ a a)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (+ 1 (fabs (pow (exp a) (+ x x)))) (+ 1 (exp (* x a)))) (/ (- (fabs (pow (exp x) (+ a a))) 1) (+ (pow (exp x) (+ a a)) 1)))) * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp x) (+ a a))) * [misc]simplify: Simplified (2 2) to (λ (a x) (/ (/ (- (exp (* (+ x x) (+ a a))) 1) (+ (exp (* a x)) 1)) (+ 1 (pow (exp x) (+ a a))))) * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* (+ x x) (+ a a))) 1)) (cbrt (- (exp (* (+ x x) (+ a a))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (cbrt (- (exp (* (+ a a) (+ x x))) 1))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (* (cbrt (- (exp (* (+ a a) (+ x x))) 1)) (cbrt (- (exp (* (+ a a) (+ x x))) 1))) (/ (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (cbrt (- (exp (* (+ x x) (+ a a))) 1))))) * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (+ x x) (+ a a))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (+ a a) (+ x x))) 1)) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (sqrt (- (exp (* (+ a a) (+ x x))) 1)) (/ (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (sqrt (- (exp (* (+ x x) (+ a a))) 1))))) * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* (+ x x) a)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp a) (+ x x))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ 1 (pow (exp a) (+ x x))) (/ (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (- (exp (* (+ x x) a)) 1)))) * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a (+ x x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ 1 (pow (exp x) (+ a a))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ 1 (pow (exp x) (+ a a))) (/ (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (- (exp (* a (+ x x))) 1)))) * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (+ x x) (+ a a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (+ 1 (fabs (pow (exp a) (+ x x)))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ 1 (fabs (pow (exp a) (+ x x)))) (/ (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (- (sqrt (exp (* (+ x x) (+ a a)))) 1)))) * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (exp (* a x)) (exp (* a x))) (- (* 1 1) (* (exp (* a x)) 1))) (+ (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (- (* (* 1 1) (* 1 1)) (* (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (* (+ (- 1 (pow (exp a) (+ x x))) (exp (* (+ x x) (+ a a)))) (+ (pow (exp a) (+ x x)) (- 1 (exp (* a x))))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (pow (exp (* a x)) 3) (pow 1 3)) (+ (pow (* (exp (* a x)) (exp (* a x))) 3) (pow (* 1 1) 3)))) (* (+ (- 1 (pow (exp a) (+ x x))) (exp (* (+ x x) (+ a a)))) (+ (pow (exp a) (+ x x)) (- 1 (exp (* a x))))))) * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (exp (* a x)) (exp (* a x))) (- (* 1 1) (* (exp (* a x)) 1))) (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (+ (* (- (pow (exp x) (+ a a)) (exp (* a x))) (- (pow (exp x) (+ a a)) 1)) (- (pow (exp x) (+ a a)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (pow (exp (* a x)) 3) (pow 1 3)) (- (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (* (* 1 1) (* 1 1))))) (+ (* (- (pow (exp x) (+ a a)) (exp (* a x))) (- (pow (exp x) (+ a a)) 1)) (- (pow (exp x) (+ a a)) 1)))) * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* a x)) 1) (+ (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (- (* (* 1 1) (* 1 1)) (* (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (+ (- 1 (pow (exp x) (+ a a))) (exp (* (+ x x) (+ a a)))) (- (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (pow (* (exp (* a x)) (exp (* a x))) 3) (pow (* 1 1) 3)))) (* (+ (- 1 (pow (exp x) (+ a a))) (exp (* (+ x x) (+ a a)))) (- (exp (* a x)) 1)))) * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* a x)) 1) (- (* (exp (* a x)) (exp (* a x))) (* 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (- (pow (exp a) (+ x x)) 1) (- (exp (* a x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (- (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (* (* 1 1) (* 1 1))))) (* (- (pow (exp a) (+ x x)) 1) (- (exp (* a x)) 1)))) * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (- (* (* 1 1) (* 1 1)) (* (* (exp (* a x)) (exp (* a x))) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (- (exp (* (+ x x) (+ a a))) (- (pow (exp a) (+ x x)) 1)) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (* (exp (* a x)) (exp (* a x))) 3) (pow (* 1 1) 3)))) (- (exp (* (+ x x) (+ a a))) (- (pow (exp a) (+ x x)) 1)))) * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (- (* (* (exp (* a x)) (exp (* a x))) (* (exp (* a x)) (exp (* a x)))) (* (* 1 1) (* 1 1))))) (- (pow (exp a) (+ x x)) 1))) * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp (* a x)) (exp (* a x))) (- (* 1 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (+ (- 1 (exp (* a x))) (pow (exp x) (+ a a))) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (pow (exp (* a x)) 3) (pow 1 3)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) (+ (- 1 (exp (* a x))) (pow (exp x) (+ a a))))) * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (exp (* a x)) 1) * [misc]simplify: Simplified (2 2) to (λ (a x) (* (/ (- (exp (* (+ x x) (+ a a))) 1) (* (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1)))) (- (exp (* a x)) 1))) * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (+ x x) (+ a a))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (- (exp (* (+ (+ x x) x) (+ (+ a a) (+ a a)))) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (exp (* (+ (+ x x) x) (+ (+ a a) (+ a a)))) 1) (* (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (* (exp (* (+ x x) (+ a a))) (exp (* (+ x x) (+ a a)))) (+ (* 1 1) (* (exp (* (+ x x) (+ a a))) 1)))))) * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (+ x x) (+ a a))) (exp (* (+ x x) (+ a a)))) (* 1 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (- (pow (* (exp x) (exp x)) (+ (+ a a) (+ a a))) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (* (exp x) (exp x)) (+ (+ a a) (+ a a))) 1) (* (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))) (+ (exp (* (+ x x) (+ a a))) 1)))) * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp (* a x)) (+ 1 1)) (* 1 1))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp (* a x)) (+ 1 1)) (* 1 1))))) * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp a) (+ x x)) (* 1 1))))) * [enter]simplify: Simplifying (+ x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ x x) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp a) (+ x x)) (* 1 1))))) * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a x)) (exp (* a x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (pow (exp a) (+ x x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (pow (exp a) (+ x x)) 1) (* 1 1))))) * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp a) (exp a)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (exp a) (exp a)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (* (exp a) (exp a)) x) (* 1 1))))) * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp (* a x)) (+ 1 1)) (* 1 1))))) * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a x) (* a x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (+ x x) a) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (exp (* (+ x x) a)) (* 1 1))))) * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (exp (* a x)) (exp (* a x))) (exp (* a x))) (* (* (exp (* a x)) (exp (* a x))) (exp (* a x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (pow (exp (* a x)) (+ (+ 1 3) (+ 1 1))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (cbrt (pow (exp (* a x)) (+ (+ 1 3) (+ 1 1)))) (* 1 1))))) * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* a x))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (* (exp (* a x)) (* (cbrt (exp (* a x))) (cbrt (exp (* a x))))) (cbrt (exp (* a x)))) (* 1 1))))) * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* a x))) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (* (exp (* a x)) (sqrt (exp (* a x)))) (sqrt (exp (* a x)))) (* 1 1))))) * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [misc]simplify: Simplified (2 2 2 1 2) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (* (exp (* a x)) 1) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) (* (cbrt (exp (* a x))) (exp (* a x)))) (* 1 1))))) * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* a x))) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (* (sqrt (exp (* a x))) (* (sqrt (exp (* a x))) (exp (* a x)))) (* 1 1))))) * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (* (exp x) (exp x)) (+ a a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (exp x) (exp x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (pow (* (exp x) (exp x)) (+ a a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ x x) a)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (pow (exp a) (+ x x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (* (pow (exp a) (+ x x)) (exp (* (+ x x) a))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a (+ x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (pow (exp x) (+ a a)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (* (pow (exp x) (+ a a)) (exp (* a (+ x x)))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x x) (+ a a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (+ a a) (+ x x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a x) (/ (- (exp (* (+ a a) (+ x x))) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 8 (* (pow a 2) (pow x 2))) (+ (* 4 (* a x)) (* 32/3 (* (pow a 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (+ (* (* 4 a) x) (* (* (* a x) (* a x)) (+ 8 (* 32/3 (* a x))))) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (+ (* (* 4 a) x) (* (* (* a x) (* a x)) (+ 8 (* 32/3 (* a x))))) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 4 (* a x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (pow (exp 4) (* x a)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (exp 4) (* x a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 4 (* a x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (pow (exp 4) (* x a)) 1) * [misc]simplify: Simplified (2 1) to (λ (a x) (/ (- (pow (exp 4) (* x a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x)) * [misc]simplify: Simplified (2) to (λ (a x) (+ (* (* (* a x) (* a x)) (+ 1/2 (* a (* x 1/6)))) (* a x))) * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 4 (* a x))) 1) (* (+ (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (* 4 x)) 1) (* (+ (pow (exp x) (* 2 a)) 1) (+ (exp (* x a)) 1))) * [misc]simplify: Simplified (2) to (λ (a x) (/ (- (pow (exp a) (* 4 x)) 1) (* (+ (pow (exp x) (* 2 a)) 1) (+ (exp (* x a)) 1)))) * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* 4 (* a x))) 1) (* (+ (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (* 4 x)) 1) (* (+ (pow (exp x) (* 2 a)) 1) (+ (exp (* x a)) 1))) * [misc]simplify: Simplified (2) to (λ (a x) (/ (- (pow (exp a) (* 4 x)) 1) (* (+ (pow (exp x) (* 2 a)) 1) (+ (exp (* x a)) 1)))) * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (* a x)) (+ (* 2 (* (pow a 2) (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ (* x a) 1) (* (* x a) 2))) * [misc]simplify: Simplified (2 2 2 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (+ 1 (* (+ (* x a) 1) (* (* x a) 2))) (* 1 1))))) * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp a) (* 2 x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp a) (* 2 x)) (* 1 1))))) * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp a) (* 2 x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (a x) (/ (- (exp (* (+ x x) (+ a a))) 1) (* (+ (exp (* a x)) 1) (+ (pow (exp a) (* 2 x)) (* 1 1))))) * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (* a x)) (+ (* 8 (* (pow a 2) (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 8) (+ (* (* x a) 4) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (+ (* (* (* x a) (* x a)) 8) (+ (* (* x a) 4) 1)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 4 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (pow (exp 4) (* x a)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (pow (exp 4) (* x a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 4 (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (pow (exp 4) (* x a)) * [misc]simplify: Simplified (2 1 1) to (λ (a x) (/ (- (pow (exp 4) (* x a)) 1) (* (+ (exp (* a x)) 1) (+ (* (exp (* a x)) (exp (* a x))) (* 1 1))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x a) * * * * [misc]regimes: Trying to branch on x from (# # # #) * * * * [misc]regimes: Trying to branch on a from (# # # #) * * * [misc]regime: Found split indices: #