* [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: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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 57 additional inputs, on iter 1 have 199 / 256 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 57 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 7 additional inputs, on iter 2 have 249 / 256 * * * * [misc]points: Computing exacts for 7 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 3 have 255 / 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 257 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 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 a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) 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 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow 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 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 into 0 * [misc]backup-simplify: Simplify (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 6) 720) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/720 (pow a 6)) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify 1/6 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)) (* a x))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* x a)) (expm1 (* x a))) (expm1 (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma x (* (* (* x a) (* x a)) (* 1/6 a)) (fma 1/2 (* (* x a) (* x a)) (* x a))) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (expm1 (* a x)) 3)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* a x)) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* a x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* a x)) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* a x)) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* a x)) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in x * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* a x)) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* a x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* a x)) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* a x)) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* a x)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* a x)) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* a x)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* a x)) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* a x)) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* a x)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 2) 2) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow x 2)) x) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* 1/2 x)) into (* 3/2 x) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (* 3/2 x)) into (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) * [misc]backup-simplify: Simplify (/ (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) (exp (* 3 (+ (log a) (log x))))) into (* 3/2 x) * [misc]backup-simplify: Simplify (* 1/3 (* 3/2 x)) into (* 1/2 x) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (* 1/2 x)) into (* 1/2 (* x (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* x (exp (+ (log a) (log x))))) 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 (* x (exp (+ (log a) (log 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 (exp (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log 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 a) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 3) 6) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow x 3)) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (* 1/2 (pow x 2)) 2) (pow x 2))) (/ (* 2 (* 1/6 (pow x 3))) x)) 2) into (* 1/24 (pow x 2)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* 1/24 (pow x 2))) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 2) 2) (* 1/8 (pow x 2)))) into (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) 2) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (/ (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2)))) (exp (* 3 (+ (log a) (log x)))))) 2) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (* 1/3 (* 1/8 (pow x 2))) into (* 1/24 (pow x 2)) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 x) 2) 2) (* 1/24 (pow x 2)))) into (* 1/6 (* (pow x 2) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow x 2) (exp (+ (log a) (log 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 (* (pow x 2) (exp (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (/ 0 a) 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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log a) (log x)))) into (* 1/2 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log a) (log x)))) into (* 1/2 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow a 2))) (/ 0 a)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 4) 24) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow x 4)) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (pow (* 1/2 (pow x 2)) 3) (pow x 3))) (+ (* -3 (/ (* (* 1/2 (pow x 2)) (* 2 (* 1/6 (pow x 3)))) (pow x 2))) (/ (* 6 (* 1/24 (pow x 4))) x))) 6) into 0 * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 3) 6) (* (* 3/2 x) (* 1/8 (pow x 2))))) into (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (pow (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) 3) (pow (exp (* 3 (+ (log a) (log x)))) 3))) (+ (* -3 (/ (* (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))))) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (/ (* 6 (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3)))) (exp (* 3 (+ (log a) (log x))))))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 x) 3) 6) (* (* 1/2 x) (* 1/24 (pow x 2))))) into (* 1/24 (* (pow x 3) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/24 (* (pow x 3) (exp (+ (log a) (log x))))) 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 3) (exp (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow a 2))) (/ 0 a)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow a 3))) (+ (* -3 (/ 0 (pow a 2))) (/ 0 a))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 5) 120) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow x 5)) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (pow (* 1/2 (pow x 2)) 4) (pow x 4))) (+ (* 12 (/ (* (pow (* 1/2 (pow x 2)) 2) (* 2 (* 1/6 (pow x 3)))) (pow x 3))) (+ (* -3 (/ (pow (* 2 (* 1/6 (pow x 3))) 2) (pow x 2))) (+ (* -4 (/ (* (* 1/2 (pow x 2)) (* 6 (* 1/24 (pow x 4)))) (pow x 2))) (/ (* 24 (* 1/120 (pow x 5))) x))))) 24) into (* -1/2880 (pow x 4)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* -1/2880 (pow x 4))) into (* -1/960 (pow x 4)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 4) 24) (+ (* (/ (pow (* 3/2 x) 2) 2) (* 1/8 (pow x 2))) (+ (/ (pow (* 1/8 (pow x 2)) 2) 2) (* -1/960 (pow x 4)))))) into (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (pow (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) 4) (pow (exp (* 3 (+ (log a) (log x)))) 4))) (+ (* 12 (/ (* (pow (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) 2) (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))))) (pow (exp (* 3 (+ (log a) (log x)))) 3))) (+ (* -3 (/ (pow (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2)))) 2) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (+ (* -4 (/ (* (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) (* 6 (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))))) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (/ (* 24 (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4)))) (exp (* 3 (+ (log a) (log x))))))))) 24) into (* -1/960 (pow x 4)) * [misc]backup-simplify: Simplify (* 1/3 (* -1/960 (pow x 4))) into (* -1/2880 (pow x 4)) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 x) 4) 24) (+ (* (/ (pow (* 1/2 x) 2) 2) (* 1/24 (pow x 2))) (+ (/ (pow (* 1/24 (pow x 2)) 2) 2) (* -1/2880 (pow x 4)))))) into (* 1/120 (* (pow x 4) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/120 (* (pow x 4) (exp (+ (log a) (log x))))) 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 4) (exp (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/6 (exp (+ (log a) (log x)))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/6 (exp (+ (log a) (log x)))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (exp (+ (log a) (log x)))) (pow (* x a) 2)) (+ (* (* 1/2 (exp (+ (log a) (log x)))) (* x a)) (exp (+ (log a) (log x))))) into (+ (* 1/6 (* (pow a 2) (* (pow x 2) (exp (+ (log a) (log x)))))) (+ (* 1/2 (* a (* x (exp (+ (log a) (log x)))))) (exp (+ (log a) (log x))))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 into 1 * [misc]backup-simplify: Simplify (/ 1 a) 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 -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 a) (/ 1 x))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (exp (/ 1 (* a x))) 1) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)) 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]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) 2) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 3))) (+ (* -3 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)))) 6) 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 (pow (pow (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) 3) 1/3) into (pow (pow (- (exp (* a x)) 1) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 a)) 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 -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in a * [misc]taylor: Rewrote expression to (pow (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (exp (/ 1 (* a x))) 1) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)) 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]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) 2) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 3))) (+ (* -3 (/ 0 (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3)))) 6) 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 (pow (pow (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) 3) 1/3) into (pow (pow (- (exp (* a x)) 1) 3) 1/3) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (expm1 (* a x)) 3) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in x * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* a x)) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* a x))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* a x)))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 2) 2) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow x 2)) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow x 2)) x) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* 1/2 x)) into (* 3/2 x) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (* 3/2 x)) into (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) * [misc]taylor: Taking taylor expansion of (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) in x * [misc]taylor: Taking taylor expansion of 3/2 in x * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) x) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log 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 into 0 * [misc]backup-simplify: Simplify (/ 0 a) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 3) 6) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow x 3)) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (* 1/2 (pow x 2)) 2) (pow x 2))) (/ (* 2 (* 1/6 (pow x 3))) x)) 2) into (* 1/24 (pow x 2)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* 1/24 (pow x 2))) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 2) 2) (* 1/8 (pow x 2)))) into (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))) * [misc]taylor: Taking taylor expansion of (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))) in x * [misc]taylor: Taking taylor expansion of 5/4 in x * [misc]backup-simplify: Simplify 5/4 into 5/4 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (pow x 2)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (/ 0 a) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 3/2 (exp (* 3 (+ (log a) (log x))))) into (* 3/2 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 3/2 (exp (* 3 (+ (log a) (log x))))) into (* 3/2 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow a 2))) (/ 0 a)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 4) 24) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow x 4)) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (pow (* 1/2 (pow x 2)) 3) (pow x 3))) (+ (* -3 (/ (* (* 1/2 (pow x 2)) (* 2 (* 1/6 (pow x 3)))) (pow x 2))) (/ (* 6 (* 1/24 (pow x 4))) x))) 6) into 0 * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 3) 6) (* (* 3/2 x) (* 1/8 (pow x 2))))) into (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) * [misc]taylor: Taking taylor expansion of (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) in x * [misc]taylor: Taking taylor expansion of 3/4 in x * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (pow x 3)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow a 2))) (/ 0 a)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow a 3))) (+ (* -3 (/ 0 (pow a 2))) (/ 0 a))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 5) 120) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow x 5)) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (pow (* 1/2 (pow x 2)) 4) (pow x 4))) (+ (* 12 (/ (* (pow (* 1/2 (pow x 2)) 2) (* 2 (* 1/6 (pow x 3)))) (pow x 3))) (+ (* -3 (/ (pow (* 2 (* 1/6 (pow x 3))) 2) (pow x 2))) (+ (* -4 (/ (* (* 1/2 (pow x 2)) (* 6 (* 1/24 (pow x 4)))) (pow x 2))) (/ (* 24 (* 1/120 (pow x 5))) x))))) 24) into (* -1/2880 (pow x 4)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (* -1/2880 (pow x 4))) into (* -1/960 (pow x 4)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (/ (pow (* 3/2 x) 4) 24) (+ (* (/ (pow (* 3/2 x) 2) 2) (* 1/8 (pow x 2))) (+ (/ (pow (* 1/8 (pow x 2)) 2) 2) (* -1/960 (pow x 4)))))) into (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) * [misc]taylor: Taking taylor expansion of (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) in x * [misc]taylor: Taking taylor expansion of 43/120 in x * [misc]backup-simplify: Simplify 43/120 into 43/120 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (pow x 4)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 5/4 (exp (* 3 (+ (log a) (log x))))) into (* 5/4 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 5/4 (exp (* 3 (+ (log a) (log x))))) into (* 5/4 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 5/4 (exp (* 3 (+ (log a) (log x))))) (pow (* x a) 2)) (+ (* (* 3/2 (exp (* 3 (+ (log a) (log x))))) (* x a)) (exp (* 3 (+ (log a) (log x)))))) into (+ (exp (* 3 (+ (log a) (log x)))) (+ (* 3/2 (* a (* (exp (* 3 (+ (log a) (log x)))) x))) (* 5/4 (* (pow a 2) (* (exp (* 3 (+ (log a) (log x)))) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 into 1 * [misc]backup-simplify: Simplify (/ 1 a) 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 -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 a) (/ 1 x))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 a) (/ 1 x)))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 a) (/ 1 x))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (pow (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) 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]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (pow (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) 3) into (pow (- (exp (* a x)) 1) 3) * [misc]approximate: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 a)) 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 -1 into -1 * [misc]backup-simplify: Simplify (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) 3) in a * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (expm1 (* (/ 1 (- a)) (/ 1 (- x)))))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (pow (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) 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]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (pow (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) 3) into (pow (- (exp (* a x)) 1) 3) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* a x)) in x * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [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 (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 (expm1 (* a x)) in a * [misc]taylor: Rewrote expression to (- (exp (* a x)) 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 into 0 * [misc]backup-simplify: Simplify x into x * [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 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 x into x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify x 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 into 0 * [misc]backup-simplify: Simplify (/ (pow x 2) 2) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow 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 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 3) 6) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow x 3)) 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 into 0 * [misc]backup-simplify: Simplify (/ (pow x 4) 24) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow x 4)) 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 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 into 0 * [misc]backup-simplify: Simplify (/ (pow x 5) 120) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow x 5)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow x 6) 720) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/720 (pow x 6)) 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 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)) (* x a))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 into 1 * [misc]backup-simplify: Simplify (/ 1 a) 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 (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (expm1 (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 a) (/ 1 x))) 1) * [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 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 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 (+ -1 (exp (/ 1 (* a x)))) 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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) 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 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 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]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)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 a)) 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 (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (expm1 (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) * [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 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 (+ -1 (exp (/ 1 (* a x)))) 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 0 into 0 * [misc]backup-simplify: Simplify a 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 (+ -1 (exp (/ 1 (* a x)))) 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 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 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]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))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* x a))) * [exit]simplify: Simplified to (expm1 (expm1 (* x a))) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (expm1 (* x a))) * [exit]simplify: Simplified to (log (expm1 (* x a))) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (expm1 (* x a))) * [exit]simplify: Simplified to (exp (expm1 (* x a))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (expm1 (* a x)) 3)) (cbrt (pow (expm1 (* a x)) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (expm1 (* a x))) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [enter]simplify: Simplifying (cbrt (* (expm1 (* a x)) (expm1 (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * [exit]simplify: Simplified to (cbrt (* (expm1 (* x a)) (expm1 (* x a)))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (expm1 (* x a)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (expm1 (* x a)) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (expm1 (* x a)) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (expm1 (* x a)) 3))) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (expm1 (* a x)) 3))) (cbrt (cbrt (pow (expm1 (* a x)) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (expm1 (* a x)) 3)) (cbrt (pow (expm1 (* a x)) 3))) (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [enter]simplify: Simplifying (sqrt (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (pow (expm1 (* x a)) 3)) * [exit]simplify: Simplified to (expm1 (pow (expm1 (* x a)) 3)) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (pow (expm1 (* x a)) 3)) * [exit]simplify: Simplified to (log1p (pow (expm1 (* x a)) 3)) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (expm1 (* a x))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (expm1 (* a x))) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [enter]simplify: Simplifying (pow (cbrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [enter]simplify: Simplifying (pow (sqrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (expm1 (* a x)) 3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 (* a x)) (expm1 (* a x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * [exit]simplify: Simplified to (* 3 (log (expm1 (* x a)))) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (exp (pow (expm1 (* x a)) 3)) * [exit]simplify: Simplified to (exp (pow (expm1 (* x a)) 3)) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (expm1 (* a x)) 3)) (cbrt (pow (expm1 (* a x)) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [enter]simplify: Simplifying (cbrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (expm1 (* a x)) 3) (pow (expm1 (* a x)) 3)) (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (pow (pow (expm1 (* x a)) 3) 3) * [exit]simplify: Simplified to (pow (pow (expm1 (* x a)) 3) 3) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [enter]simplify: Simplifying (pow (cbrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [enter]simplify: Simplifying (pow (sqrt (expm1 (* a x))) 3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* x a))) (expm1 (* x a))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (expm1 (* a x)) 3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 (* a x)) (expm1 (* a x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * [exit]simplify: Simplified to (* (expm1 (* x a)) (expm1 (* x a))) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (pow (expm1 (* x a)) 3)) * [exit]simplify: Simplified to (sqrt (pow (expm1 (* x a)) 3)) * [enter]simplify: Simplifying (sqrt (pow (expm1 (* a x)) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (pow (expm1 (* x a)) 3)) * [exit]simplify: Simplified to (sqrt (pow (expm1 (* x a)) 3)) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 63 ] 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 (* x a)) * [exit]simplify: Simplified to (exp (* x a)) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* x a))) * [exit]simplify: Simplified to (expm1 (expm1 (* x a))) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* x a))) * [exit]simplify: Simplified to (log (expm1 (* x a))) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* x a))) * [exit]simplify: Simplified to (exp (expm1 (* x a))) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * [enter]simplify: Simplifying (cbrt (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * [exit]simplify: Simplified to (cbrt (expm1 (* x a))) * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * [exit]simplify: Simplified to (pow (expm1 (* x a)) 3) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [enter]simplify: Simplifying (sqrt (expm1 (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * [exit]simplify: Simplified to (sqrt (expm1 (* x a))) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 2) (* (pow x 2) (exp (+ (log a) (log x)))))) (+ (* 1/2 (* a (* x (exp (+ (log a) (log x)))))) (exp (+ (log a) (log x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (fma (* (* (* x a) (* x a)) 1/6) (* x a) (fma 1/2 (* (* x a) (* x a)) (* x a))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (exp (* a x)) 1) 3) 1/3) * * [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 (126 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (exp (* a x)) 1) 3) 1/3) * * [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 (126 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (* 3 (+ (log a) (log x)))) (+ (* 3/2 (* a (* (exp (* 3 (+ (log a) (log x)))) x))) (* 5/4 (* (pow a 2) (* (exp (* 3 (+ (log a) (log x)))) (pow x 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (fma (* (pow (* a x) 3) (* (* x x) 5/4)) (* a a) (fma (pow (* a x) 3) (* (* 3/2 x) a) (pow (* a x) 3)))) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (* a x)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (* a x)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) 3)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (fma (* (* x x) (* (* 1/6 a) (* a a))) x (fma 1/2 (* (* a a) (* x x)) (* x a))) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (* a x)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (* a x)) 1) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (* x a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (exp (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 into 1 * [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 a into a * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ (pow a 2) 2) (* 1/2 (pow a 2))) into (pow a 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) 2) 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 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (/ (pow a 3) 6) (+ (* a (* 1/2 (pow a 2))) (* 1/6 (pow a 3)))) into (* 5/6 (pow a 3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (pow a 3)) (+ (* -3 (* a (* 2 (pow a 2)))) (* 6 (* 5/6 (pow a 3))))) 6) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow a 4)) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (+ (/ (pow a 4) 24) (+ (* (/ (pow a 2) 2) (* 1/2 (pow a 2))) (+ (* a (* 1/6 (pow a 3))) (+ (/ (pow (* 1/2 (pow a 2)) 2) 2) (* 1/24 (pow a 4)))))) into (* 5/8 (pow a 4)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (pow a 4)) (+ (* 12 (* (pow a 2) (* 2 (pow a 2)))) (+ (* -3 (pow (* 2 (pow a 2)) 2)) (+ (* -4 (* a (* 6 (* 5/6 (pow a 3))))) (* 24 (* 5/8 (pow a 4))))))) 24) 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 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 into 0 * [misc]backup-simplify: Simplify (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (+ (/ (pow a 5) 120) (+ (* (/ (pow a 3) 6) (* 1/2 (pow a 2))) (+ (* (/ (pow a 2) 2) (* 1/6 (pow a 3))) (+ (* a (/ (pow (* 1/2 (pow a 2)) 2) 2)) (+ (* a (* 1/24 (pow a 4))) (+ (* (* 1/2 (pow a 2)) (* 1/6 (pow a 3))) (* 1/120 (pow a 5)))))))) into (* 13/30 (pow a 5)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (pow a 5)) (+ (* -60 (* (pow a 3) (* 2 (pow a 2)))) (+ (* 30 (* a (pow (* 2 (pow a 2)) 2))) (+ (* 20 (* (pow a 2) (* 6 (* 5/6 (pow a 3))))) (+ (* -10 (* (* 2 (pow a 2)) (* 6 (* 5/6 (pow a 3))))) (+ (* -5 (* a (* 24 (* 5/8 (pow a 4))))) (* 120 (* 13/30 (pow a 5))))))))) 120) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 6) 720) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/720 (pow a 6)) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (+ (/ (pow a 6) 720) (+ (* (/ (pow a 4) 24) (* 1/2 (pow a 2))) (+ (* (/ (pow a 3) 6) (* 1/6 (pow a 3))) (+ (* (/ (pow a 2) 2) (/ (pow (* 1/2 (pow a 2)) 2) 2)) (+ (* (/ (pow a 2) 2) (* 1/24 (pow a 4))) (+ (* a (* (* 1/2 (pow a 2)) (* 1/6 (pow a 3)))) (+ (* a (* 1/120 (pow a 5))) (+ (/ (pow (* 1/2 (pow a 2)) 3) 6) (+ (* (* 1/2 (pow a 2)) (* 1/24 (pow a 4))) (+ (/ (pow (* 1/6 (pow a 3)) 2) 2) (* 1/720 (pow a 6)))))))))))) into (* 203/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (pow a 6)) (+ (* 360 (* (pow a 4) (* 2 (pow a 2)))) (+ (* -270 (* (pow a 2) (pow (* 2 (pow a 2)) 2))) (+ (* -120 (* (pow a 3) (* 6 (* 5/6 (pow a 3))))) (+ (* 30 (pow (* 2 (pow a 2)) 3)) (+ (* 120 (* a (* (* 2 (pow a 2)) (* 6 (* 5/6 (pow a 3)))))) (+ (* 30 (* (pow a 2) (* 24 (* 5/8 (pow a 4))))) (+ (* -10 (pow (* 6 (* 5/6 (pow a 3))) 2)) (+ (* -15 (* (* 2 (pow a 2)) (* 24 (* 5/8 (pow a 4))))) (+ (* -6 (* a (* 120 (* 13/30 (pow a 5))))) (* 720 (* 203/720 (pow a 6))))))))))))) 720) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify 1/6 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)) (* a x))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (* (/ 1 x) (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (exp (- (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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 2))) (/ 0 (exp (- (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 3))) (+ (* -3 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 2))) (/ 0 (exp (- (exp (/ 1 (* a x))) 1))))) 6) 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 (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (log (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (log (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (exp (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (exp (- (exp (/ 1 (* a x))) 1)) into (exp (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (exp (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (exp (- (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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 2))) (/ 0 (exp (- (exp (/ 1 (* a x))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 3))) (+ (* -3 (/ 0 (pow (exp (- (exp (/ 1 (* a x))) 1)) 2))) (/ 0 (exp (- (exp (/ 1 (* a x))) 1))))) 6) 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 (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 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 a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) 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 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow 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 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 into 0 * [misc]backup-simplify: Simplify (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 6) 720) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/720 (pow a 6)) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify 1/6 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)) (* a x))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (expm1 (* x a)))) (cbrt (exp (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (exp (expm1 (* a x)))) (cbrt (exp (expm1 (* a x)))))) * [exit]simplify: Simplified to (log (* (cbrt (exp (expm1 (* a x)))) (cbrt (exp (expm1 (* a x)))))) * [enter]simplify: Simplifying (log (cbrt (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (exp (expm1 (* a x))))) * [exit]simplify: Simplified to (log (cbrt (exp (expm1 (* a x))))) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (expm1 (* a x))))) * [exit]simplify: Simplified to (log (sqrt (exp (expm1 (* a x))))) * [enter]simplify: Simplifying (log (sqrt (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (expm1 (* a x))))) * [exit]simplify: Simplified to (log (sqrt (exp (expm1 (* a x))))) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (exp (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (exp (expm1 (* x a))))) (cbrt (log (exp (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (exp (expm1 (* x a)))) (log (exp (expm1 (* x a))))) (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (log (exp (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* x a)) (expm1 (* x a))) (expm1 (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma x (* (* (* x a) (* x a)) (* 1/6 a)) (fma 1/2 (* (* x a) (* x a)) (* x a))) * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (fma (* x x) (fma 1/6 (* (* x a) (* a a)) (* (* a 1/2) a)) (* x a)) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (expm1 (* 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 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 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 (log x) into (log x) * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow a 2)) a) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* 1/2 a) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 x) 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 (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (* 1/2 (pow a 2)) 2) (pow a 2))) (/ (* 2 (* 1/6 (pow a 3))) a)) 2) into (* 1/24 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow a 2)) 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 2) in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow x 2))) (/ 0 x)) 2) 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 (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow a 4)) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (pow (* 1/2 (pow a 2)) 3) (pow a 3))) (+ (* -3 (/ (* (* 1/2 (pow a 2)) (* 2 (* 1/6 (pow a 3)))) (pow a 2))) (/ (* 6 (* 1/24 (pow a 4))) a))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow x 3))) (+ (* -3 (/ 0 (pow x 2))) (/ 0 x))) 6) 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 (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (pow (* 1/2 (pow a 2)) 4) (pow a 4))) (+ (* 12 (/ (* (pow (* 1/2 (pow a 2)) 2) (* 2 (* 1/6 (pow a 3)))) (pow a 3))) (+ (* -3 (/ (pow (* 2 (* 1/6 (pow a 3))) 2) (pow a 2))) (+ (* -4 (/ (* (* 1/2 (pow a 2)) (* 6 (* 1/24 (pow a 4)))) (pow a 2))) (/ (* 24 (* 1/120 (pow a 5))) a))))) 24) into (* -1/2880 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* -1/2880 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of -1/2880 in a * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow (* a x) 2)) (+ (* 1/2 (* a x)) (+ (log a) (log x)))) into (+ (log a) (+ (log x) (+ (* 1/24 (* (pow a 2) (pow x 2))) (* 1/2 (* a x))))) * [misc]approximate: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in a * [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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (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 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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 (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (log (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (log (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in a * [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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (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 (- (exp (/ 1 (* a x))) 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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 (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (log (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (log (- (exp (* a x)) 1)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (exp (log (expm1 (* x a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 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 (log x) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (log x) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in a * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow a 2)) a) into (* 1/2 a) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (* 1/2 a)) into (* 1/2 (* a (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a (exp (+ (log a) (log x))))) 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 (exp (+ (log a) (log 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 (exp (+ (log a) (log x))) in a * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log 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 x) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (pow (* 1/2 (pow a 2)) 2) (pow a 2))) (/ (* 2 (* 1/6 (pow a 3))) a)) 2) into (* 1/24 (pow a 2)) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 a) 2) 2) (* 1/24 (pow a 2)))) into (* 1/6 (* (pow a 2) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow a 2) (exp (+ (log a) (log x))))) 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 2) (exp (+ (log a) (log x)))) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in a * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 x) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log a) (log x)))) into (* 1/2 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log a) (log x)))) into (* 1/2 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow x 2))) (/ 0 x)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow a 4)) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (pow (* 1/2 (pow a 2)) 3) (pow a 3))) (+ (* -3 (/ (* (* 1/2 (pow a 2)) (* 2 (* 1/6 (pow a 3)))) (pow a 2))) (/ (* 6 (* 1/24 (pow a 4))) a))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 a) 3) 6) (* (* 1/2 a) (* 1/24 (pow a 2))))) into (* 1/24 (* (pow a 3) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/24 (* (pow a 3) (exp (+ (log a) (log x))))) 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 3) (exp (+ (log a) (log x)))) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in a * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow x 2))) (/ 0 x)) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow x 3))) (+ (* -3 (/ 0 (pow x 2))) (/ 0 x))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (pow (* 1/2 (pow a 2)) 4) (pow a 4))) (+ (* 12 (/ (* (pow (* 1/2 (pow a 2)) 2) (* 2 (* 1/6 (pow a 3)))) (pow a 3))) (+ (* -3 (/ (pow (* 2 (* 1/6 (pow a 3))) 2) (pow a 2))) (+ (* -4 (/ (* (* 1/2 (pow a 2)) (* 6 (* 1/24 (pow a 4)))) (pow a 2))) (/ (* 24 (* 1/120 (pow a 5))) a))))) 24) into (* -1/2880 (pow a 4)) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (/ (pow (* 1/2 a) 4) 24) (+ (* (/ (pow (* 1/2 a) 2) 2) (* 1/24 (pow a 2))) (+ (/ (pow (* 1/24 (pow a 2)) 2) 2) (* -1/2880 (pow a 4)))))) into (* 1/120 (* (pow a 4) (exp (+ (log a) (log x))))) * [misc]taylor: Taking taylor expansion of (* 1/120 (* (pow a 4) (exp (+ (log a) (log x))))) 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 4) (exp (+ (log a) (log x)))) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in a * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in a * [misc]taylor: Taking taylor expansion of (log a) in a * [misc]taylor: Taking 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]taylor: Taking taylor expansion of (log x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/6 (exp (+ (log a) (log x)))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/6 (exp (+ (log a) (log x)))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (exp (+ (log a) (log x)))) (pow (* a x) 2)) (+ (* (* 1/2 (exp (+ (log a) (log x)))) (* a x)) (exp (+ (log a) (log x))))) into (+ (* 1/6 (* (pow a 2) (* (pow x 2) (exp (+ (log a) (log x)))))) (+ (* 1/2 (* a (* x (exp (+ (log a) (log x)))))) (exp (+ (log a) (log x))))) * [misc]approximate: Taking taylor expansion of (exp (log (expm1 (* (/ 1 x) (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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]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 (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (exp (log (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (log (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (exp (log (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]backup-simplify: Simplify (/ 0 (- (exp (/ 1 (* a x))) 1)) 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1))) 2) 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]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 (/ (+ (* 2 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 3))) (+ (* -3 (/ 0 (pow (- (exp (/ 1 (* a x))) 1) 2))) (/ 0 (- (exp (/ 1 (* a x))) 1)))) 6) 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 (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking 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 x into x * [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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) 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 a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify 1 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 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 a into a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 2) 2) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow a 2)) 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 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 3) 6) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 4) 24) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/24 (pow 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 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 into 0 * [misc]backup-simplify: Simplify (/ (pow a 5) 120) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/120 (pow a 5)) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow a 6) 720) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/720 (pow a 6)) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify 1/6 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)) (* a x))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) 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 into 1 * [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 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 (- 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 into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) 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 into -1 * [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 a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (+ -1 (exp (/ 1 (* a x)))) into (- (exp (/ 1 (* a x))) 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 into 0 * [misc]backup-simplify: Simplify 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 (+ -1 (exp (/ 1 (* a x)))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (log (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (log (expm1 (* a x)))) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (log (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (log (expm1 (* a x)))) * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (expm1 (* a x)))) (log (cbrt (expm1 (* a x))))) * [exit]simplify: Simplified to (+ (log (cbrt (expm1 (* a x)))) (log (cbrt (expm1 (* a x))))) * [enter]simplify: Simplifying (log (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (log (expm1 (* a x)))) * [exit]simplify: Simplified to (log (log (expm1 (* a x)))) * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (expm1 (* x a)))) (cbrt (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (log (expm1 (* a x)))) (cbrt (log (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (log (expm1 (* a x)))) (cbrt (log (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (log (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (log (expm1 (* a x)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (expm1 (* x a))) (log (expm1 (* x a)))) (log (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (log (expm1 (* a x))) 3) * [exit]simplify: Simplified to (pow (log (expm1 (* a x))) 3) * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (log (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (log (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (log (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (log (expm1 (* a x)))) * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log (expm1 (* x a)))) (cbrt (log (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log (expm1 (* a x)))) (cbrt (log (expm1 (* a x)))))) * [exit]simplify: Simplified to (exp (* (cbrt (log (expm1 (* a x)))) (cbrt (log (expm1 (* a x)))))) * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (log (expm1 (* a x))))) * [exit]simplify: Simplified to (exp (sqrt (log (expm1 (* a x))))) * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (exp (log (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (exp (log (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (exp (log (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (log (expm1 (* x a))))) (cbrt (exp (log (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (log (expm1 (* x a)))) (exp (log (expm1 (* x a))))) (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (exp (log (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* x a)) (expm1 (* x a))) (expm1 (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (log a) (+ (log x) (+ (* 1/24 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (exp (fma (fma (* 1/24 a) (* a x) (* a 1/2)) x (+ (log x) (log a)))) * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 2) (* (pow x 2) (exp (+ (log a) (log x)))))) (+ (* 1/2 (* a (* x (exp (+ (log a) (log x)))))) (exp (+ (log a) (log x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (fma (* (* (* x a) (* x a)) 1/6) (* x a) (fma 1/2 (* (* x a) (* x a)) (* x a))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (fma (* (* 1/6 x) (* (* x a) (* x a))) a (fma 1/2 (* (* x a) (* x a)) (* x a))) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (exp (* a x)) 1) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* x a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 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 1961 additional inputs, on iter 1 have 6039 / 8000 * * * * [misc]points: Computing exacts on every 122 of 1961 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 61 of 1961 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 30 of 1961 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 15 of 1961 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 7 of 1961 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 3 of 1961 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1961 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 500 additional inputs, on iter 2 have 7500 / 8000 * * * * [misc]points: Computing exacts on every 31 of 500 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 15 of 500 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 7 of 500 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 3 of 500 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 500 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 122 additional inputs, on iter 3 have 7878 / 8000 * * * * [misc]points: Computing exacts on every 7 of 122 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 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 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 32 additional inputs, on iter 4 have 7968 / 8000 * * * * [misc]points: Computing exacts on every 2 of 32 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 32 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 7 additional inputs, on iter 5 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 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 6 have 7998 / 8000 * * * * [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 8000 points with exact outputs