* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 87 additional inputs, on iter 1 have 169 / 256 * * * * [misc]points: Computing exacts on every 5 of 87 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 87 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 87 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 30 additional inputs, on iter 2 have 226 / 256 * * * * [misc]points: Computing exacts for 30 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 3 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y 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 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ 1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ 1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 (/ 1 x))) 1)) into (log (+ (exp x) 1)) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (/ -1 x)) 1) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (/ -1 x)) 1) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (log (+ (exp x) 1)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (exp x) into (exp x) * [misc]backup-simplify: Simplify (+ 1 (exp x)) into (+ (exp x) 1) * [misc]backup-simplify: Simplify (log (+ (exp x) 1)) into (log (+ (exp x) 1)) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (- (log1p (exp x)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) 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 (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 x))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) 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]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [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 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 x)) 1)) 0) into (log (+ (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 x)) 1)) into (log (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ 1 (/ 1 x))) 1)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (log (+ (exp x) 1)) (* x y)) * [misc]approximate: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (log1p (exp (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) 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]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [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 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 x)) 1)) 0) into (log (+ (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 x)) 1)) in y * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in y * [misc]taylor: Taking taylor expansion of (exp (/ -1 x)) in y * [misc]taylor: Taking taylor expansion of (/ -1 x) in y * [misc]taylor: Taking taylor expansion of -1 in y * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 x)) 1)) into (log (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 x)) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 x)) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 x)) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log (+ (exp (/ -1 (/ 1 (- x)))) 1)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (log (+ (exp x) 1)) (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (exp x)) (- (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* x y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) (cbrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log1p (exp x))) (- (* y x)))) * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* x y))))) * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (exp x))) (exp (* y x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (- (log1p (exp x)) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (- (log1p (exp x)) (* y x))))) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [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 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y x))) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp x) 1)) (* x y)) * * [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 (26 enodes) * [exit]simplify: Simplified to (- (log1p (exp x)) (* y x)) * [misc]simplify: Simplified (2) to (λ (x y) (- (log1p (exp x)) (* y 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 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x)) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [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 (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1 (/ 1 (/ 1 x)))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [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 (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* (/ -1 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ -1/2 (- (/ 1 y))) into (- (+ 1/2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (- (+ 1/2 (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ 1/2 (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1/8 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (cbrt (fma (fma 1/8 x 1/2) x (log 2)))) (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* x y))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (fma x (- (fma x 1/8 1/2) y) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (- (fma x 1/8 1/2) y) (log 2)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (- (fma x 1/8 1/2) y) (log 2)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* x y))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (- (* x y) (* x y)))) * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (cbrt (fma (fma 1/8 x 1/2) x (log 2)))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* y x)))) * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (fma 1/8 x 1/2) x (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/8 1/2) x (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (fma (fma x 1/8 1/2) x (log 2))) (sqrt (fma (fma 1/8 x 1/2) x (log 2))) (- (* y x)))) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fma (fma 1/8 x 1/2) x (log 2))) (exp (* y x))) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (exp (fma x (- (fma x 1/8 1/2) y) (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (fma x (- (fma x 1/8 1/2) y) (log 2))))) * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma 1/8 x 1/2) x) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (fma x 1/8 1/2) x) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (* (fma x 1/8 1/2) x) (- (log 2) (* y x)))) * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2) to (λ (x y) (* x (fma x 1/8 (- 1/2 y)))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* x (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2) to (λ (x y) (* x (fma x 1/8 (- 1/2 y)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 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 (+ (+ (log 2) 1) -1) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (/ 1/2 (+ (log 2) 1)) 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (/ 1/2 (+ (log 2) 1)) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) 1) 1)))) into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 1) 1)))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (* 4 (exp (- (log 1/8) (* 2 (log x))))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 8 (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) (pow (/ 1 x) 2)) (+ (* (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (/ 1 x)) (- (exp (- (log 1/8) (* 2 (log (/ 1 x))))) 1))) into (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 1) 1)))) into (* -4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 8 (exp (- (log 1/8) (* 2 (log (/ 1 (- x))))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 (- x))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))))) (/ 1 (- x))) (- (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))) 1))) into (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (/ 1/2 (+ (log 2) 1)) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) (pow x 2)) (+ (* (/ 1/2 (+ (log 2) 1)) x) (log (+ (log 2) 1)))) into (- (+ (* 1/8 (/ (pow x 2) (+ (log 2) 1))) (+ (log (+ (log 2) 1)) (* 1/2 (/ x (+ (log 2) 1))))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))) * [misc]approximate: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log 1/8) (* 2 (log x))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* 8 (log 2)) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ (* (* 8 (log 2)) (pow (/ 1 x) 2)) (+ (* 4 (/ 1 x)) (- (log 1/8) (* 2 (log (/ 1 x)))))) into (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log 1/8) (* 2 (log x))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* 8 (log 2)) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ (* (* 8 (log 2)) (pow (/ 1 (- x)) 2)) (+ (* -4 (/ 1 (- x))) (- (log 1/8) (* 2 (log (/ 1 (- x))))))) into (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x)) in y * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in y * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 x) into (* 1/8 x) * [misc]backup-simplify: Simplify (+ (* 1/8 x) 1/2) into (+ (* 1/8 x) 1/2) * [misc]backup-simplify: Simplify (* (+ (* 1/8 x) 1/2) x) into (* x (+ (* 1/8 x) 1/2)) * [misc]backup-simplify: Simplify (+ (* x (+ (* 1/8 x) 1/2)) (log 2)) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]backup-simplify: Simplify (+ 1 (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))) into (+ (log 2) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))) * [misc]backup-simplify: Simplify (log (+ (log 2) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)))) into (log (+ (log 2) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)))) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))))) into (+ (log 2) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x)) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* y x) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [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 (+ (+ (log 2) 1) -1) into (log 2) * [misc]backup-simplify: Simplify (* y 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (log 2) 0) into (log 2) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (/ 1/2 (+ (log 2) 1)) 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* y 1) (* 0 0)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]taylor: Taking taylor expansion of (- 1/2 y) in y * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (/ 1/2 (+ (log 2) 1)) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) 1) 1)))) into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* y 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* 1 x) 2)) (+ (* 1/2 (* 1 x)) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) (* (/ 1 y) (/ 1 x))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) (* (/ 1 y) (/ 1 x))) in y * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 x)) into (/ 1/8 x) * [misc]backup-simplify: Simplify (+ (/ 1/8 x) 1/2) into (+ (* 1/8 (/ 1 x)) 1/2) * [misc]backup-simplify: Simplify (* (+ (* 1/8 (/ 1 x)) 1/2) (/ 1 x)) into (/ (+ (* 1/8 (/ 1 x)) 1/2) x) * [misc]backup-simplify: Simplify (+ (/ (+ (* 1/8 (/ 1 x)) 1/2) x) (log 2)) into (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) into (+ (log 2) (+ (* 1/2 (/ 1 x)) (+ (* 1/8 (/ 1 (pow x 2))) 1))) * [misc]backup-simplify: Simplify (log (+ (log 2) (+ (* 1/2 (/ 1 x)) (+ (* 1/8 (/ 1 (pow x 2))) 1)))) into (log (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1))))) into (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) (+ (* 1/2 (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) (* (/ 1 y) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 y) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (/ 1 y) into (/ 1 y) * [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 y) 1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (exp (- (log 1/8) (* 2 (log x)))) 1) 0) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/8) (* 2 (log x)))) 1) in y * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 1) 1)))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]taylor: Taking taylor expansion of (* 4 (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) in y * [misc]taylor: Taking taylor expansion of (* 8 (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of 8 in y * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x)))))) in y * [misc]taylor: Taking taylor expansion of 8 in y * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (* (log 2) (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* 4 (exp (- (log 1/8) (* 2 (log x))))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (* 4 (exp (- (log 1/8) (* 2 (log x))))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (* 1 (/ 1 x))) (+ (- (exp (- (log 1/8) (* 2 (log (/ 1 x))))) 1) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))))) into (- (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (+ (* x y) 1)) * [misc]approximate: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) (* (/ 1 (- y)) (/ 1 (- x)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) (* (/ 1 (- y)) (/ 1 (- x)))) in y * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in y * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in y * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in y * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in y * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in y * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in y * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/2 in y * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 (/ -1 x)) into (/ -1/8 x) * [misc]backup-simplify: Simplify (+ (/ -1/8 x) 1/2) into (- 1/2 (* 1/8 (/ 1 x))) * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/8 (/ 1 x))) (/ -1 x)) into (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (- 1/2 (* 1/8 (/ 1 x))) x)) (log 2)) into (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (+ (log 2) (* 1/8 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x)))) into (- (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) 1)) (* 1/2 (/ 1 x))) * [misc]backup-simplify: Simplify (log (- (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) 1)) (* 1/2 (/ 1 x)))) into (log (- (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) 1)) (* 1/2 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) 1)) (* 1/2 (/ 1 x))))) into (- (+ (log 2) (+ (* 1/8 (/ 1 (pow x 2))) 1)) (* 1/2 (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in y * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in y * [misc]taylor: Taking taylor expansion of (- y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in y * [misc]taylor: Taking taylor expansion of (- x) in y * [misc]taylor: Taking taylor expansion of x in y * [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 (- (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) (* (/ 1 (- y)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- y)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- y)) in x * [misc]taylor: Taking taylor expansion of (- y) in x * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (/ 1 (- y)) into (/ -1 y) * [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 y) -1) into (/ 1 y) * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) * [misc]taylor: Taking taylor expansion of (- (/ 1 y)) in y * [misc]taylor: Taking taylor expansion of (/ 1 y) in y * [misc]taylor: Taking taylor expansion of y in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (exp (- (log 1/8) (* 2 (log x)))) 1) 0) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (- (log 1/8) (* 2 (log x)))) 1) in y * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in y * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 1) 1)))) into (* -4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (- (* 4 (exp (- (log 1/8) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) 0) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]taylor: Taking taylor expansion of (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) in y * [misc]taylor: Taking taylor expansion of (* 4 (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))) (* 0 (/ 0 (- y))) (* 0 (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) in y * [misc]taylor: Taking taylor expansion of (* 8 (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of 8 in y * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x)))))) in y * [misc]taylor: Taking taylor expansion of 8 in y * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (* (log 2) (exp (- (log 1/8) (* 2 (log x))))) in y * [misc]taylor: Taking taylor expansion of (log 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (exp (- (log 1/8) (* 2 (log x)))) in y * [misc]taylor: Taking taylor expansion of (- (log 1/8) (* 2 (log x))) in y * [misc]taylor: Taking taylor expansion of (log 1/8) in y * [misc]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]taylor: Taking taylor expansion of (* 2 (log x)) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log x) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 2 (log x)) into (* 2 (log x)) * [misc]backup-simplify: Simplify (- (* 2 (log x))) into (- (* 2 (log x))) * [misc]backup-simplify: Simplify (+ (log 1/8) (- (* 2 (log x)))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* 4 (exp (- (log 1/8) (* 2 (log x))))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))))) (* 1 (/ 1 (- x)))) (+ (- (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))) 1) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))))) into (- (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (+ 1 (* x y))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1/8 x 1/2) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (fma 1/8 x 1/2) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (fma 1/8 x 1/2) x (log 2)) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (- (* x y))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (- (log 2) (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* y x))) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* y x))) (- (* x y) (* x y)))) * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (sqrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (- (* x y))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (fma (fma x 1/8 (- 1/2 y)) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (fma x 1/8 (- 1/2 y)) x (log 2)) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (fma x 1/8 (- 1/2 y)) x (log 2)) (- (* x y) (* x y)))) * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (- (* x y))) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (fma (- x) y (* x y)))) * [enter]simplify: Simplifying (fma (- x) y (* x y)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (* x y) (* x y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (- (* x y) (* x y)))) * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (fma (fma x 1/8 1/2) x (log 2))) (cbrt (fma (fma x 1/8 1/2) x (log 2)))) (cbrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (- (* y x)))) * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma x 1/8 1/2) x (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (fma (fma x 1/8 1/2) x (log 2))) (sqrt (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (- (* y x)))) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) (exp (* y x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (exp (fma (fma 1/8 x (- 1/2 y)) x (log 2))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (exp (fma (fma 1/8 x (- 1/2 y)) x (log 2))))) * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (fma (fma 1/8 x 1/2) x (log 2)))) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (exp (log1p (fma (fma x 1/8 1/2) x (log 2)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (exp (log1p (fma (fma x 1/8 1/2) x (log 2)))) (+ 1 (* y x)))) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (fma (fma 1/8 x 1/2) x (log 2)) (* y x))) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (fma (/ 8 x) (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (- 1)) (fma (/ (/ (log 2) (/ x (/ 1/8 x))) (* (/ 1 x) (/ 1 x))) 8 (fma 4 (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (/ 1/8 (* (/ 1 x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (fma (/ 8 x) (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (- 1)) (fma (/ (/ (log 2) (/ x (/ 1/8 x))) (* (/ 1 x) (/ 1 x))) 8 (fma 4 (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (/ 1/8 (* (/ 1 x) (/ 1 x)))))) (* y x))) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (+ 4 (/ 8 x))) (/ 1/8 (* (/ -1 x) (/ -1 x)))) (- (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (* (/ (log 2) x) 8)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (+ (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (+ 4 (/ 8 x))) (/ 1/8 (* (/ -1 x) (/ -1 x)))) (- (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (* (/ (log 2) x) 8)) 1)) (* y x))) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ (pow x 2) (+ (log 2) 1))) (+ (log (+ (log 2) 1)) (* 1/2 (/ x (+ (log 2) 1))))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (fma (/ (* x x) (+ 1 (log 2))) (- 1/8 (/ 1/8 (+ 1 (log 2)))) (fma 1/2 (/ x (+ 1 (log 2))) (log1p (log 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (fma (/ (* x x) (+ 1 (log 2))) (- 1/8 (/ 1/8 (+ 1 (log 2)))) (fma 1/2 (/ x (+ 1 (log 2))) (log1p (log 2))))) (* y x))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ 1 x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (fma (/ 8 (* x x)) (log 2) (fma 2 (log x) (+ (/ 4 x) (log 1/8)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (fma (/ 8 (* x x)) (log 2) (fma 2 (log x) (+ (/ 4 x) (log 1/8))))) (* y x))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (- (fma (/ 8 x) (/ (log 2) x) (+ (/ 4 x) (log 1/8))) (* 2 (log (/ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (- (fma (/ 8 x) (/ (log 2) x) (+ (/ 4 x) (log 1/8))) (* 2 (log (/ -1 x))))) (* y x))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2) to (λ (x y) (fma (fma 1/8 x 1/2) x (log 2))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (+ (* x y) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (fma (/ 4 x) (* 1/8 (* x x)) (- (* 1/8 (* x x)) (fma y x 1))) * [misc]simplify: Simplified (2) to (λ (x y) (fma (/ 4 x) (* 1/8 (* x x)) (- (* 1/8 (* x x)) (fma y x 1)))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (+ 1 (* x y))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (fma (+ 1 (/ 4 x)) (* (* 1/8 (/ x -1)) (/ x -1)) (- (fma x y 1))) * [misc]simplify: Simplified (2) to (λ (x y) (fma (+ 1 (/ 4 x)) (* (* 1/8 (/ x -1)) (/ x -1)) (- (fma x y 1)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log (+ (log 2) 1)) 1))) into (+ (log (+ (log 2) 1)) 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 (+ (+ (log (+ (log 2) 1)) 1) -1) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log (+ (log 2) 1)) 1))) into (+ (log (+ (log 2) 1)) 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 (+ (+ (log (+ (log 2) 1)) 1) -1) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log 2) 1))) into (+ (log 2) 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 (+ (+ (log 2) 1) -1) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (+ (log 2) 1))) into (* 1/2 (/ 1 (+ (log 2) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 1) into (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log (+ (log 2) 1)) 1))) (+ (* (/ (pow (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) 1) 1)))) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (+ (log 2) 1)) 0) into (* 1/2 (/ 1 (+ (log 2) 1))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (* 1/2 (/ 1 (+ (log 2) 1))) 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))))) into (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 2)) (pow (+ (log (+ (log 2) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log (+ (log 2) 1)) 1))) (+ (* (/ (pow (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) 1) 1)))) into (* (+ (log (+ (log 2) 1)) 1) (- (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log (+ (log 2) 1)) 1) (- (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) 0) into (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log 2) 1))) (+ (* (/ (pow (* 1/2 (/ 1 (+ (log 2) 1))) 2) 2)) (* (/ (pow (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) 1) 1)))) into (* (+ (log 2) 1) (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) 1) (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1))))))) 0) into (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (pow (+ (log 2) 1) 2)))))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (pow (+ (log 2) 1) 2)))))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) into (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (pow (+ (log 2) 1) 2)))))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (pow (+ (log 2) 1) 2)))))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) (pow x 2)) (+ (* 1/2 x) (log 2))) into (- (+ (log 2) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (* (+ (log (+ (log 2) 1)) 1) (+ (log 2) 1)))) (+ (* 1/2 x) (+ (* 1/8 (/ (* (log 2) (* (pow x 2) (log (+ (log 2) 1)))) (* (+ (log (+ (log 2) 1)) 1) (+ (log 2) 1)))) (+ (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))))))))) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (* (+ (log (+ (log 2) 1)) 1) (pow (+ (log 2) 1) 2)))) (+ (* 1/8 (/ (* (log 2) (* (pow x 2) (log (+ (log 2) 1)))) (* (+ (log (+ (log 2) 1)) 1) (pow (+ (log 2) 1) 2)))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) * [misc]approximate: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) 1) 1)))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 1) 1)))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (* 4 (exp (- (log 1/8) (* 2 (log x))))) into (* 4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) 2) 2)) (* (/ (pow (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) 1) 1)))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (log 2)) 0) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow 4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 8 (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) (pow (/ 1 x) 2)) (+ (* (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (/ 1 x)) (- (exp (- (log 1/8) (* 2 (log (/ 1 x))))) 1))) into (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) in x * [misc]taylor: Rewrote expression to (- (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (exp (- (log 1/8) (* 2 (log x)))) into (exp (- (log 1/8) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log 1/8) (* 2 (log x)))) -1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log 1/8) (* 2 (log x)))) 1) into (- (exp (- (log 1/8) (* 2 (log x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) 1) 1)))) into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 1) 1)))) into (* -4 (exp (- (log 1/8) (* 2 (log x))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -4 (exp (- (log 1/8) (* 2 (log x))))) 0) into (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) * [misc]backup-simplify: Simplify (- (* 4 (exp (- (log 1/8) (* 2 (log x)))))) into (- (* 4 (exp (- (log 1/8) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) 2) 2)) (* (/ (pow (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) 1) 1)))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (log 2)) 0) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* (/ (pow -4 2) 2)) (* (/ (pow (* 8 (log 2)) 1) 1)))) into (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log 1/8) (* 2 (log x)))) (+ (* 8 (log 2)) 8)) 0) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) into (+ (* 8 (exp (- (log 1/8) (* 2 (log x))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log x))))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 8 (exp (- (log 1/8) (* 2 (log (/ 1 (- x))))))) (* 8 (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 (- x))))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 4 (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))))) (/ 1 (- x))) (- (exp (- (log 1/8) (* 2 (log (/ 1 (- x)))))) 1))) into (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log (+ (log 2) 1)) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log (+ (log 2) 1)) 1))) into (+ (log (+ (log 2) 1)) 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 (+ (+ (log (+ (log 2) 1)) 1) -1) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (+ (log 2) 1))) into (* 1/2 (/ 1 (+ (log 2) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 1) into (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log (+ (log 2) 1)) 1))) (+ (* (/ (pow (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) 1) 1)))) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (+ (log 2) 1)) 0) into (* 1/2 (/ 1 (+ (log 2) 1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (+ (log 2) 1))) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))))) into (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 2)) (pow (+ (log (+ (log 2) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log (+ (log 2) 1)) 1))) (+ (* (/ (pow (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) 2) 2)) (* (/ (pow (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) 1) 1)))) into (* (+ (log (+ (log 2) 1)) 1) (- (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (log (+ (log 2) 1)) 1) (- (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) 0) into (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) into (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/8 (/ (log (+ (log 2) 1)) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))) (+ (* 1/8 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (log (+ (log 2) 1)) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) (pow x 2)) (+ (* (/ 1/2 (+ (log 2) 1)) x) (log (+ (log 2) 1)))) into (- (+ (log (+ (log 2) 1)) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/2 (/ x (+ (log 2) 1))) (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log 1/8) (* 2 (log x))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) 1) 1)))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) 2) 2)) (* (/ (pow (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) 1) 1)))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (log 2)) 0) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* 8 (log 2)) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ (* (* 8 (log 2)) (pow (/ 1 x) 2)) (+ (* 4 (/ 1 x)) (- (log 1/8) (* 2 (log (/ 1 x)))))) into (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) in x * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) into (- (+ (log 1/8) 1) (* 2 (log 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 (+ (- (+ (log 1/8) 1) (* 2 (log x))) -1) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- (log 1/8) (* 2 (log x))) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) 1) 1)))) into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -4 0) into -4 * [misc]backup-simplify: Simplify -4 into -4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ (log 1/8) 1) (* 2 (log x))))) (+ (* (/ (pow (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) 2) 2)) (* (/ (pow (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) 1) 1)))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 8 (log 2)) 0) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (* 8 (log 2)) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ (* (* 8 (log 2)) (pow (/ 1 (- x)) 2)) (+ (* -4 (/ 1 (- x))) (- (log 1/8) (* 2 (log (/ 1 (- x))))))) into (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 x 1/2) x (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 x 1/2) x (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (log (+ (log 2) 1)) into (log (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 1 (log (+ (log 2) 1))) into (+ (log (+ (log 2) 1)) 1) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (log (+ (log (+ (log 2) 1)) 1)) into (log (+ (log (+ (log 2) 1)) 1)) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow (+ (log 2) 1) 1)))) 1) into (/ 1/2 (+ (log 2) 1)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (+ (log 2) 1))) into (* 1/2 (/ 1 (+ (log 2) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 1) into (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) * [misc]backup-simplify: Simplify (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) into (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow (+ (log 2) 1) 2))) (* 1 (/ (* 1 (pow (* 2 1/8) 1)) (pow (+ (log 2) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2))))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (- (* 1/4 (/ 1 (+ (log 2) 1))) (* 1/4 (/ 1 (pow (+ (log 2) 1) 2)))))) into (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ 1 (+ (log 2) 1)))) 2)) (pow (+ (log (+ (log 2) 1)) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (+ (log 2) 1))) (* 1/8 (/ 1 (pow (+ (log 2) 1) 2))))) 1)) (pow (+ (log (+ (log 2) 1)) 1) 1)))) 2) into (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) into (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/4 (/ 1 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/4 (/ 1 (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2))))))) (pow x 2)) (+ (* (/ 1/2 (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))) x) (log (+ (log (+ (log 2) 1)) 1)))) into (- (+ (* 1/2 (/ x (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (log (+ (log (+ (log 2) 1)) 1)) (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))))) (+ (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * [misc]approximate: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/8 1)))) 1) into 4 * [misc]backup-simplify: Simplify (+ 0 4) into 4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) into (/ 4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log (/ 1 x)))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log (/ 1 x)))) 2))))) (pow (/ 1 x) 2)) (+ (* (/ 4 (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))) (/ 1 x)) (log (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))))) into (- (+ (log (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))) (+ (* 8 (/ (log 2) (* (pow x 2) (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))))) (* 4 (/ 1 (* x (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))))))) (* 8 (/ 1 (* (pow x 2) (pow (- (+ (log 1/8) 1) (* 2 (log (/ 1 x)))) 2))))) * [misc]approximate: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]taylor: Taking taylor expansion of (log1p (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log1p (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/8) into 1/8 * [misc]backup-simplify: Simplify (log 1/8) into (log 1/8) * [misc]backup-simplify: Simplify (+ (* (- 2) (log x)) (log 1/8)) into (- (log 1/8) (* 2 (log x))) * [misc]backup-simplify: Simplify (+ 1 (- (log 1/8) (* 2 (log x)))) into (- (+ (log 1/8) 1) (* 2 (log x))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (log (- (+ (log 1/8) 1) (* 2 (log x)))) into (log (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/8 1)))) 1) into -4 * [misc]backup-simplify: Simplify (+ 0 -4) into -4 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -4) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 1) into (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) * [misc]backup-simplify: Simplify (/ -4 (- (+ (log 1/8) 1) (* 2 (log x)))) into (/ -4 (- (+ (log 1/8) 1) (* 2 (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (+ 1 (log 2)) into (+ (log 2) 1) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/8 2))) (* 1 (/ (* 1 (pow (* 2 (+ (log 2) 1)) 1)) (pow 1/8 1)))) 2) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (+ 0 (* 8 (log 2))) into (* 8 (log 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -4) 2)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 8 (log 2))) 1)) (pow (- (+ (log 1/8) 1) (* 2 (log x))) 1)))) 2) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) into (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log x))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log x))) 2))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 16 (/ (log 2) (- (+ (log 1/8) 1) (* 2 (log (/ 1 (- x))))))) (* 16 (/ 1 (pow (- (+ (log 1/8) 1) (* 2 (log (/ 1 (- x))))) 2))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -4 (- (+ (log 1/8) 1) (* 2 (log (/ 1 (- x)))))) (/ 1 (- x))) (log (- (+ (log 1/8) 1) (* 2 (log (/ 1 (- x)))))))) into (- (+ (* 8 (/ (log 2) (* (pow x 2) (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (+ (* 4 (/ 1 (* x (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (log (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (* 8 (/ 1 (* (pow x 2) (pow (- (+ (log 1/8) 1) (* 2 (log (/ -1 x)))) 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 x 1/2) x (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 x 1/2) x) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 x 1/2) x) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 x 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 x) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 x) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 1/8 0)) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/8 1) (* 0 0))) into 1/8 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 x) 1/2) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 x) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 x)) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 1/2 1)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 1/2 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* 1/2 (/ 1 (/ 1 x))) (* 1/8 (pow (/ 1 (/ 1 x)) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) in x * [misc]taylor: Rewrote expression to (+ (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) (log 2)) * [misc]taylor: Taking taylor expansion of (* (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (fma 1/8 (/ 1 (- x)) 1/2) in x * [misc]taylor: Rewrote expression to (+ (* 1/8 (/ 1 (- x))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log 2) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 1/8 -1) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1/8 -1) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (* 1/2 -1)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 0) (+ (* 1/2 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (log 2)) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (log 2) (+ (* -1/2 (/ 1 (/ 1 (- x)))) (* 1/8 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2))))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log1p (fma (fma x 1/8 1/2) x (log 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma x 1/8 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (fma 1/8 x 1/2) x (log 2)) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (log1p (fma (fma 1/8 x 1/2) x (log 2)))) (* y x))) * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (fma 1/8 x 1/2) x (log 2))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log1p (fma (fma x 1/8 1/2) x (log 2))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x y) (- (expm1 (expm1 (log1p (log1p (fma (fma x 1/8 1/2) x (log 2)))))) (* y x))) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 2) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (pow (+ (log 2) 1) 2))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (* (+ (log (+ (log 2) 1)) 1) (+ (log 2) 1)))) (+ (* 1/2 x) (+ (* 1/8 (/ (* (log 2) (* (pow x 2) (log (+ (log 2) 1)))) (* (+ (log (+ (log 2) 1)) 1) (+ (log 2) 1)))) (+ (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (pow (+ (log 2) 1) 2)))))))))) (+ (* 1/8 (/ (* (log 2) (pow x 2)) (* (+ (log (+ (log 2) 1)) 1) (pow (+ (log 2) 1) 2)))) (+ (* 1/8 (/ (* (log 2) (* (pow x 2) (log (+ (log 2) 1)))) (* (+ (log (+ (log 2) 1)) 1) (pow (+ (log 2) 1) 2)))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (- (+ (+ (+ (log 2) (/ (* 1/8 (* (log 2) (* x x))) (* (+ (log 2) 1) (+ (log 2) 1)))) (fma (/ (* (log1p (log 2)) (* x x)) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))) 1/8 (/ (* 1/8 (* (log 2) (* x x))) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))))) (+ (fma (/ (* (* (log 2) (* x x)) (log1p (log 2))) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))) 1/8 (/ (* (* x x) 1/8) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)))) (+ (/ (* (* x x) 1/8) (* (+ (log 2) 1) (+ (log 2) 1))) (* 1/2 x)))) (+ (+ (/ (* 1/8 (* (* (log 2) (* x x)) (log1p (log 2)))) (* (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)) (+ (log 2) 1))) (/ (* 1/8 (* (log 2) (* x x))) (* (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)) (+ (log 2) 1)))) (fma 1/8 (* (* (/ x (+ (log 2) 1)) (/ x (+ (log 2) 1))) (/ (log1p (log 2)) (+ 1 (log1p (log 2))))) (* (/ 1/8 (+ 1 (log1p (log 2)))) (* (/ x (+ (log 2) 1)) (/ x (+ (log 2) 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (- (+ (+ (+ (log 2) (/ (* 1/8 (* (log 2) (* x x))) (* (+ (log 2) 1) (+ (log 2) 1)))) (fma (/ (* (log1p (log 2)) (* x x)) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))) 1/8 (/ (* 1/8 (* (log 2) (* x x))) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))))) (+ (fma (/ (* (* (log 2) (* x x)) (log1p (log 2))) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1))) 1/8 (/ (* (* x x) 1/8) (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)))) (+ (/ (* (* x x) 1/8) (* (+ (log 2) 1) (+ (log 2) 1))) (* 1/2 x)))) (+ (+ (/ (* 1/8 (* (* (log 2) (* x x)) (log1p (log 2)))) (* (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)) (+ (log 2) 1))) (/ (* 1/8 (* (log 2) (* x x))) (* (fma (+ (log 2) 1) (log1p (log 2)) (+ (log 2) 1)) (+ (log 2) 1)))) (fma 1/8 (* (* (/ x (+ (log 2) 1)) (/ x (+ (log 2) 1))) (/ (log1p (log 2)) (+ 1 (log1p (log 2))))) (* (/ 1/8 (+ 1 (log1p (log 2)))) (* (/ x (+ (log 2) 1)) (/ x (+ (log 2) 1))))))) (* y x))) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ 1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ 1 x)))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (fma (/ 8 x) (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (- 1)) (fma (/ (/ (log 2) (/ x (/ 1/8 x))) (* (/ 1 x) (/ 1 x))) 8 (fma 4 (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (/ 1/8 (* (/ 1 x) (/ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (fma (/ 8 x) (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (- 1)) (fma (/ (/ (log 2) (/ x (/ 1/8 x))) (* (/ 1 x) (/ 1 x))) 8 (fma 4 (/ (/ 1/8 x) (* (/ 1 x) (/ 1 x))) (/ 1/8 (* (/ 1 x) (/ 1 x)))))) (* y x))) * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) (pow x 2))) (+ (* 4 (/ (exp (- (log 1/8) (* 2 (log (/ -1 x))))) x)) (+ (* 8 (/ (* (log 2) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))) (pow x 2))) (exp (- (log 1/8) (* 2 (log (/ -1 x)))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (+ 4 (/ 8 x))) (/ 1/8 (* (/ -1 x) (/ -1 x)))) (- (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (* (/ (log 2) x) 8)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (+ (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (+ 4 (/ 8 x))) (/ 1/8 (* (/ -1 x) (/ -1 x)))) (- (* (/ (/ 1/8 x) (* (/ -1 x) (/ -1 x))) (* (/ (log 2) x) 8)) 1)) (* y x))) * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (+ (log 2) 1)) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (* 1/2 (/ x (+ (log 2) 1))) (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1))))))) (+ (* 1/8 (/ (* (pow x 2) (log (+ (log 2) 1))) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (fma (- 1/8) (fma (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (log1p (log 2)) (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (+ (+ (log1p (log 2)) (/ (* 1/2 x) (+ 1 (log 2)))) (+ (/ (* (* x (* 1/8 x)) (log1p (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (/ (* x (* 1/8 x)) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (fma (- 1/8) (fma (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (log1p (log 2)) (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (+ (+ (log1p (log 2)) (/ (* 1/2 x) (+ 1 (log 2)))) (+ (/ (* (* x (* 1/8 x)) (log1p (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (/ (* x (* 1/8 x)) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))))))) (* y x))) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ 1 x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (fma (/ 8 (* x x)) (log 2) (fma 2 (log x) (+ (/ 4 x) (log 1/8)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (fma (/ 8 (* x x)) (log 2) (fma 2 (log x) (+ (/ 4 x) (log 1/8))))) (* y x))) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 1/8) (+ (* 8 (/ (log 2) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (log (/ -1 x)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (- (fma (/ 8 x) (/ (log 2) x) (+ (/ 4 x) (log 1/8))) (* 2 (log (/ -1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (expm1 (- (fma (/ 8 x) (/ (log 2) x) (+ (/ 4 x) (log 1/8))) (* 2 (log (/ -1 x))))) (* y x))) * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))) (+ (log (+ (log (+ (log 2) 1)) 1)) (* 1/8 (/ (pow x 2) (* (+ (log 2) 1) (+ (log (+ (log 2) 1)) 1)))))) (+ (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (pow (+ (log (+ (log 2) 1)) 1) 2)))) (* 1/8 (/ (pow x 2) (* (pow (+ (log 2) 1) 2) (+ (log (+ (log 2) 1)) 1)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (fma (- 1/8) (+ (* (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (fma (/ (* x x) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) 1/8 (fma 1/2 (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (log1p (log1p (log 2)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (expm1 (fma (- 1/8) (+ (* (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (/ (/ (* x x) (+ 1 (log 2))) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2))))) (fma (/ (* x x) (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) 1/8 (fma 1/2 (/ x (fma (+ 1 (log 2)) (log1p (log 2)) (+ 1 (log 2)))) (log1p (log1p (log 2)))))))) (* y x))) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))) (+ (* 8 (/ (log 2) (* (pow x 2) (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))))) (* 4 (/ 1 (* x (- (+ (log 1/8) 1) (* 2 (log (/ 1 x))))))))) (* 8 (/ 1 (* (pow x 2) (pow (- (+ (log 1/8) 1) (* 2 (log (/ 1 x)))) 2))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (+ (fma 8 (/ (/ (log 2) (* x x)) (fma 2 (log x) (+ (log 1/8) 1))) (/ (/ 4 x) (fma 2 (log x) (+ (log 1/8) 1)))) (+ (/ (/ (- 8) (* x x)) (* (fma 2 (log x) (+ (log 1/8) 1)) (fma 2 (log x) (+ (log 1/8) 1)))) (log (fma 2 (log x) (+ (log 1/8) 1))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (expm1 (+ (fma 8 (/ (/ (log 2) (* x x)) (fma 2 (log x) (+ (log 1/8) 1))) (/ (/ 4 x) (fma 2 (log x) (+ (log 1/8) 1)))) (+ (/ (/ (- 8) (* x x)) (* (fma 2 (log x) (+ (log 1/8) 1)) (fma 2 (log x) (+ (log 1/8) 1)))) (log (fma 2 (log x) (+ (log 1/8) 1))))))) (* y x))) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8 (/ (log 2) (* (pow x 2) (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (+ (* 4 (/ 1 (* x (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (log (- (+ (log 1/8) 1) (* 2 (log (/ -1 x))))))) (* 8 (/ 1 (* (pow x 2) (pow (- (+ (log 1/8) 1) (* 2 (log (/ -1 x)))) 2))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (+ (fma (/ 8 (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (/ (log 2) (* x x)) (log (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8))))) (- (/ (/ 4 x) (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (/ (/ 8 (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (* (* x x) (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (expm1 (expm1 (+ (fma (/ 8 (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (/ (log 2) (* x x)) (log (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8))))) (- (/ (/ 4 x) (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (/ (/ 8 (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8)))) (* (* x x) (fma (log (/ -1 x)) (- 2) (+ 1 (log 1/8))))))))) (* y x))) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x y) (- (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) (* y x))) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x y) (- (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) (* y x))) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (fma (fma 1/8 x 1/2) x (log 2)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x y) (- (expm1 (expm1 (log1p (log1p (fma (fma 1/8 x 1/2) x (log 2)))))) (* y x))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (y x) * * * * [misc]regimes: Trying to branch on y from (# # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # #) * * * [misc]regime: Found split indices: #