* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp x) (exp (- x)))) * * [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 (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 14 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 15 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 16 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 17 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))) * * * * [misc]progress: [ 18 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x)))) * * * * [misc]progress: [ 19 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x)) * [misc]simplify: Simplified (2) to (λ (x) (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))) * * * * [misc]progress: [ 20 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x))))) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2) to (λ (x) (/ 2 (+ (exp x) (exp (- x))))) * * * [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 / 1 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2 (+ (exp x) (exp (- x)))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp x) (exp (- x)))))))) * * * * [misc]progress: [ 14 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))))) * * * * [misc]progress: [ 15 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) (exp (- x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (/ (/ 2 1) (+ (exp x) (exp (- x))))))) * * * * [misc]progress: [ 16 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) (exp (- x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (/ (/ 2 1) (+ (exp x) (exp (- x))))))) * * * * [misc]progress: [ 17 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (fma (exp (- x)) (exp (- x)) (expm1 (+ x x))))))) * * * * [misc]progress: [ 18 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (exp x)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x) (log (exp (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x)))))) * * * * [misc]progress: [ 19 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (exp (- (fma 5/24 (pow x 4) 1) (* (* x 1/2) x))))) * * * * [misc]progress: [ 20 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (exp (/ 2 (+ (exp x) (exp (- x))))))) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (exp (/ 2 (+ (exp x) (exp (- x))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (log (exp (/ 2 (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (exp (/ 2 (+ (exp x) (exp (- 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 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs