* [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 88 additional inputs, on iter 1 have 168 / 256 * * * * [misc]points: Computing exacts on every 5 of 88 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 88 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 88 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 24 additional inputs, on iter 2 have 232 / 256 * * * * [misc]points: Computing exacts for 24 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 6 additional inputs, on iter 3 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 255 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 255 / 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 258 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 (log (+ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp x))) in 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 (log (+ 1 (exp x))) in 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 (log (+ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in 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 (log (+ 1 (exp (/ 1 x)))) in 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 (log (+ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in 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 (log (+ 1 (exp (/ 1 (- x))))) in 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 (- (log (+ 1 (exp x))) (* x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp x))) (* x y)) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp x))) in y * [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 (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (- (log (+ 1 (exp x))) (* x y)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp x))) in 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 (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp x))) (* x y)) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp x))) in 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 (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 y) 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 (+ (* 0 0) (* 1 y)) 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 (+ (* 0 0) (+ (* 1 0) (* 0 y))) 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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in y * [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 x) (/ 1 y)) 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]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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in 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 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (- (log (+ 1 (exp (/ 1 x)))) (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 x)))) in 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 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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]backup-simplify: Simplify (* 1 (/ 1 y)) 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 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 y))) 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 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) 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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in y * [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 (- x)) (/ 1 (- y))) 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]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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in 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 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (- (log (+ 1 (exp (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (/ 1 (- x))))) in 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 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* -1 (/ -1 y)) 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 (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 y))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 y)))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) 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 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 50 ] 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)) (* x y))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (log (cbrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log 1) (log (+ 1 (exp x)))) (* x y))) * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (log1p (pow (exp x) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log1p (pow (exp x) 3)) (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* x y))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (- 1 (* (exp x) (exp x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (- (log (- 1 (* (exp x) (exp x)))) (log (- 1 (exp x)))) (* x y))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (log (+ 1 (exp x))) (* x y))) * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ 1 (exp x))) (- (* y x))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) (cbrt (log (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* x y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ 1 (exp x)))) (sqrt (log (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ 1 (exp x))) (- (* y x))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log1p (exp x)) (* y x)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ 1 (exp x)))) (cbrt (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 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 (log (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log1p (exp x))) (sqrt (log (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (exp x)) (exp (* x y))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 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: [ 29 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (- (log (cbrt (+ 1 (exp x)))) (* x y)))) * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (+ 1 (exp x)))) (* x y)))) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log 1) (- (log (+ 1 (exp x))) (* x y)))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow (exp x) 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (log1p (pow (exp x) 3)) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log1p (pow (exp x) 3)) (+ (log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) (* x y)))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* (exp x) (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (- 1 (* (exp x) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (- 1 (* (exp x) (exp x)))) (+ (log (- 1 (exp x))) (* x y)))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] 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)) (* x y))) * * * * [misc]progress: [ 46 / 50 ] 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)) (* x y))) * * * * [misc]progress: [ 47 / 50 ] 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)) (* x y))) * * * * [misc]progress: [ 48 / 50 ] 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: [ 49 / 50 ] 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: [ 50 / 50 ] 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 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 1) into (/ 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ 1/2 (pow (sqrt 2) 2)) into (/ 1/2 (pow (sqrt 2) 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 (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) (pow x 2)) (+ (* (/ 1/2 (pow (sqrt 2) 2)) x) (log (sqrt 2)))) into (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 (/ 1 x))) 1))) into (log (sqrt (+ (exp x) 1))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1))) into (log (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 1) into (/ 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ 1/2 (pow (sqrt 2) 2)) into (/ 1/2 (pow (sqrt 2) 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 (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) (pow x 2)) (+ (* (/ 1/2 (pow (sqrt 2) 2)) x) (log (sqrt 2)))) into (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 (/ 1 x))) 1))) into (log (sqrt (+ (exp x) 1))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1))) into (log (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) in y * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) in y * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in y * [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 (sqrt (+ (exp x) 1)) into (sqrt (+ (exp x) 1)) * [misc]backup-simplify: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp x) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp x) 1))) into (log (sqrt (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in y * [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 (sqrt (+ (exp x) 1)) into (sqrt (+ (exp x) 1)) * [misc]backup-simplify: Simplify (* (exp x) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp x) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp x) 1))) into (log (sqrt (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp x))) in 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 (sqrt 2) into (sqrt 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 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (+ (log (sqrt 2)) (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (* 0 y) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log (sqrt 2))) 0) into (* 2 (log (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (sqrt 2)) in y * [misc]taylor: Taking taylor expansion of (sqrt 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 1) into (/ 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 1)) (pow (sqrt 2) 1)))) 1) into (/ 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow (sqrt 2) 2)) (/ 1/2 (pow (sqrt 2) 2))) into (/ 1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 y)) into y * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ (/ 1 (pow (sqrt 2) 2)) (- y)) into (- (/ 1 (pow (sqrt 2) 2)) y) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow (sqrt 2) 2)) y) in y * [misc]taylor: Taking taylor expansion of (/ 1 (pow (sqrt 2) 2)) in y * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (sqrt 2)) in y * [misc]taylor: Taking taylor expansion of (sqrt 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 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 (pow (sqrt 2) 2)) 0) into (/ 1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [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 (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 2))) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4))))) (* 1/2 (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) 0) into (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) in y * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt 2) 2))) 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 (pow (sqrt 2) 2)) in y * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 2) in y * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sqrt 2)))) in y * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt 2))) 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 (sqrt 2)) in y * [misc]taylor: Taking taylor expansion of (sqrt 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 2 (log (sqrt 2))) into (* 2 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 2 (log (sqrt 2)))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 2)) into (/ 1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (sqrt 2) 4))) 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 (pow (sqrt 2) 4)) in y * [misc]taylor: Taking taylor expansion of (pow (sqrt 2) 4) in y * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (sqrt 2)))) in y * [misc]taylor: Taking taylor expansion of (* 4 (log (sqrt 2))) in y * [misc]taylor: Taking taylor expansion of 4 in y * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (sqrt 2)) in y * [misc]taylor: Taking taylor expansion of (sqrt 2) in y * [misc]taylor: Taking taylor expansion of 2 in y * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (* 4 (log (sqrt 2))) into (* 4 (log (sqrt 2))) * [misc]backup-simplify: Simplify (exp (* 4 (log (sqrt 2)))) into (pow (sqrt 2) 4) * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 4)) into (/ 1 (pow (sqrt 2) 4)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt 2) 2))) into (/ 1/2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow (sqrt 2) 4))) into (/ 1/2 (pow (sqrt 2) 4)) * [misc]backup-simplify: Simplify (- (/ 1/2 (pow (sqrt 2) 4))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow (sqrt 2) 2)) (- (* 1/2 (/ 1 (pow (sqrt 2) 4))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow (sqrt 2) 2))) (* 1/2 (/ 1 (pow (sqrt 2) 4)))) (pow (* 1 x) 2)) (+ (* (/ 1 (pow (sqrt 2) 2)) (* 1 x)) (* 2 (log (sqrt 2))))) into (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (* 2 (log (sqrt 2))) (/ x (pow (sqrt 2) 2)))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) (* (/ 1 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) (* (/ 1 x) (/ 1 y))) in y * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) in y * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in y * [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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [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 (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in y * [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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [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 (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) 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]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 (- (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (- (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) (* (/ 1 x) (/ 1 y))) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 x))))) (log (sqrt (+ 1 (exp (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 x)))) in 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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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]backup-simplify: Simplify (* 1 (/ 1 y)) 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 (+ (log (sqrt (+ (exp (/ 1 x)) 1))) (log (sqrt (+ (exp (/ 1 x)) 1)))) into (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) 0) into (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) 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 (sqrt (+ (exp (/ 1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [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 (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ 1 x)) 1))) into (log (sqrt (+ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) into (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (+ (exp (/ 1 x)) 1)))) into (* 2 (log (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) 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 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (+ (exp (/ 1 x)) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ 1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) 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 (+ (* 2 (log (sqrt (+ (exp (/ 1 (/ 1 x))) 1)))) (* -1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (* 2 (log (sqrt (+ (exp x) 1)))) (* x y)) * [misc]approximate: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) (* (/ 1 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) (* (/ 1 (- x)) (/ 1 (- y)))) in y * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) in y * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in y * [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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in y * [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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 x)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) 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]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 (- (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (- (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) (* (/ 1 (- x)) (/ 1 (- y)))) in x * [misc]taylor: Taking taylor expansion of (+ (log (sqrt (+ 1 (exp (/ 1 (- x)))))) (log (sqrt (+ 1 (exp (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (/ 1 (- x))))) in 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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (exp (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* -1 (/ -1 y)) 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 (+ (log (sqrt (+ (exp (/ -1 x)) 1))) (log (sqrt (+ (exp (/ -1 x)) 1)))) into (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 y))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) 0) into (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) 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 (sqrt (+ (exp (/ -1 x)) 1))) in y * [misc]taylor: Taking taylor expansion of (sqrt (+ (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 (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [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 (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (/ -1 x)) 1))) into (log (sqrt (+ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 y)))) 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 (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) into (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) * [misc]backup-simplify: Simplify (* 2 (log (sqrt (+ (exp (/ -1 x)) 1)))) into (* 2 (log (sqrt (+ (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) 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 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (sqrt (+ (exp (/ -1 x)) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (/ -1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) 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 (+ (* 2 (log (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (* 2 (log (sqrt (+ (exp x) 1)))) (* x y)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) (log (cbrt (sqrt (+ 1 (exp x))))))) (* x y))) * * * * [misc]progress: [ 4 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log (fabs (cbrt (+ 1 (exp x))))) (log (sqrt (cbrt (+ 1 (exp x))))))) (* x y))) * * * * [misc]progress: [ 5 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log (sqrt (sqrt (+ 1 (exp x))))) (log (sqrt (sqrt (+ 1 (exp x))))))) (* x y))) * * * * [misc]progress: [ 6 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log (sqrt 1)) (log (sqrt (+ 1 (exp x)))))) (* x y))) * * * * [misc]progress: [ 7 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log (sqrt (sqrt (+ 1 (exp x))))) (log (sqrt (sqrt (+ 1 (exp x))))))) (* x y))) * * * * [misc]progress: [ 8 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (+ (log 1) (log (sqrt (+ 1 (exp x)))))) (* x y))) * * * * [misc]progress: [ 9 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow 1 3) (pow (exp x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (exp x) (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (fma (exp x) (exp (+ x x)) 1))) (log (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))))) (* x y))) * * * * [misc]progress: [ 10 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* 1 1) (* (exp x) (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (- 1 (* (exp x) (exp x))))) (log (sqrt (- 1 (exp x)))))) (* x y))) * * * * [misc]progress: [ 11 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 15 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x)))))) (log (cbrt (sqrt (+ 1 (exp x)))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 24 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log (fabs (cbrt (+ 1 (exp x))))) (log (sqrt (cbrt (+ 1 (exp x)))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 25 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log (sqrt (sqrt (+ 1 (exp x))))) (log (sqrt (sqrt (+ 1 (exp x)))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 26 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log (sqrt 1)) (log (sqrt (+ 1 (exp x))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 27 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log (sqrt (sqrt (+ 1 (exp x))))) (log (sqrt (sqrt (+ 1 (exp x)))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 28 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (+ (log 1) (log (sqrt (+ 1 (exp x))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 29 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow 1 3) (pow (exp x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (exp x) (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (- (log (sqrt (fma (exp x) (exp (+ x x)) 1))) (log (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 30 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* 1 1) (* (exp x) (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (- (log (sqrt (- 1 (* (exp x) (exp x))))) (log (sqrt (- 1 (exp x))))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 31 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 35 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (- (* y x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 42 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (- (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ 1 (exp x)))) (* y x)) (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (+ (- (log (sqrt (+ 1 (exp x)))) (* y x)) (log (sqrt (+ 1 (exp x))))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (+ (- (log (sqrt (+ 1 (exp x)))) (* y x)) (log (sqrt (+ 1 (exp x))))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 43 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 44 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1/2 (+ (log (+ 1 (exp x))) (log (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (fma (log1p (exp x)) (+ 1/2 1/2) (* x (- y))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log1p (exp x)) (+ 1/2 1/2) (* x (- y))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log1p (exp x)) (+ 1/2 1/2) (* x (- y))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 45 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 46 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 47 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (+ (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (- (* y x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 (exp x)))) (- (* x y) (log (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* x y) (log (sqrt (+ 1 (exp x)))))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* x y) (log (sqrt (+ 1 (exp x)))))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 48 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (sqrt (+ 1 (exp x))))) (+ (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x)))))) (- (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 49 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 50 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 51 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log (+ 1 (exp x))) (+ 1/2 1/2) (- (* y x))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (fma (+ 1/2 1/2) (log1p (exp x)) (* (- y) x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (+ 1/2 1/2) (log1p (exp x)) (* (- y) x)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (+ 1/2 1/2) (log1p (exp x)) (* (- y) x)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 52 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 53 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 54 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (cbrt (log (sqrt (+ 1 (exp x))))) (+ (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x))))))) (- (* y x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ 1 (exp x)))) (* x y)) (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (+ (- (log (sqrt (+ 1 (exp x)))) (* x y)) (log (sqrt (+ 1 (exp x))))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (+ (- (log (sqrt (+ 1 (exp x)))) (* x y)) (log (sqrt (+ 1 (exp x))))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 55 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (sqrt (+ 1 (exp x))))) (+ (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x)))))) (- (* y x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (log (sqrt (+ 1 (exp x)))) (- (* y x) (log (sqrt (+ 1 (exp x)))))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 56 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 57 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 58 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 59 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 60 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 61 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (fma (log (sqrt (+ (exp x) 1))) (+ 1 1) (* (- x) y)) (fma (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* y x))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 62 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))))) (cbrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (- (* x y)))) * * * * [misc]progress: [ 65 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (sqrt (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (- (* x y)))) * * * * [misc]progress: [ 66 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (+ (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (- (* x y)))) * * * * [misc]progress: [ 71 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log (sqrt (+ 1 (exp x))))) (+ (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x)))))) (- (* x y)))) * * * * [misc]progress: [ 72 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (log1p (exp x)) (+ 1/2 1/2) (- (* x y)))) * * * * [misc]progress: [ 75 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* x y)))) * * * * [misc]progress: [ 76 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* x y)))) * * * * [misc]progress: [ 77 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (cbrt (log (sqrt (+ 1 (exp x))))) (+ (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x)))))) (* (cbrt (log (sqrt (+ 1 (exp x))))) (cbrt (log (sqrt (+ 1 (exp x))))))) (- (* x y)))) * * * * [misc]progress: [ 78 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (sqrt (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (sqrt (log (sqrt (+ 1 (exp x))))) (+ (sqrt (log (sqrt (+ 1 (exp x))))) (sqrt (log (sqrt (+ 1 (exp x)))))) (- (* x y)))) * * * * [misc]progress: [ 79 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* x y)))) * * * * [misc]progress: [ 80 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (log (sqrt (+ 1 (exp x)))) (+ 1 1) (- (* x y)))) * * * * [misc]progress: [ 81 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 82 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 83 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 84 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1) to (λ (x y) (fma (+ 1 1) (log (sqrt (+ 1 (exp x)))) (- (* x y)))) * * * * [misc]progress: [ 85 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (exp (* x y))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x))))) * * * * [misc]progress: [ 86 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (exp (* x y))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp x)) (exp (* y x))) * [misc]simplify: Simplified (2 1) to (λ (x y) (log (/ (+ 1 (exp x)) (exp (* y x))))) * * * * [misc]progress: [ 87 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (exp x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (+ 1 (exp x)))) (* x y)))) * * * * [misc]progress: [ 98 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ (pow 1 3) (pow (exp x) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (fma (exp x) (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (fma (exp x) (exp (+ x x)) 1)))) (+ (log (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (* x y)))) * * * * [misc]progress: [ 99 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (- (* 1 1) (* (exp x) (exp x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (exp (+ x x))))) (log (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (+ (log (sqrt (- 1 (exp (+ x x))))) (log (sqrt (+ 1 (exp x))))) (+ (log (sqrt (- 1 (exp x)))) (* x y)))) * * * * [misc]progress: [ 100 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow 1 3) (pow (exp x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (exp x) (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (sqrt (fma (exp x) (exp (+ x x)) 1))) (+ (- (log (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))) (log (sqrt (+ 1 (exp x))))) (* x y)))) * * * * [misc]progress: [ 101 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* 1 1) (* (exp x) (exp x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* (exp x) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x y) (- (log (sqrt (- 1 (* (exp x) (exp x))))) (+ (- (log (sqrt (- 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y)))) * * * * [misc]progress: [ 102 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fma (* x x) (- (/ 1/4 2) (/ 1/4 (pow (sqrt 2) 4))) (fma 1/2 (/ x 2) (log (sqrt 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (fma (* x x) (- (/ 1/4 2) (/ 1/4 (pow (sqrt 2) 4))) (fma 1/2 (/ x 2) (log (sqrt 2))))) (* x y))) * * * * [misc]progress: [ 104 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ (exp x) 1)))) (* x y))) * * * * [misc]progress: [ 105 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x y) (- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ (exp x) 1)))) (* x y))) * * * * [misc]progress: [ 106 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fma (* x x) (- (/ 1/4 2) (/ 1/4 (pow (sqrt 2) 4))) (fma 1/2 (/ x 2) (log (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (fma (* x x) (- (/ 1/4 2) (/ 1/4 (pow (sqrt 2) 4))) (fma 1/2 (/ x 2) (log (sqrt 2)))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 107 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (sqrt (+ (exp x) 1))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 108 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x y) (- (+ (log (sqrt (+ (exp x) 1))) (log (sqrt (+ 1 (exp x))))) (* x y))) * * * * [misc]progress: [ 109 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (* 2 (log (sqrt 2))) (/ x (pow (sqrt 2) 2)))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (- (fma 2 (log (sqrt 2)) (fma (/ 1/2 2) (* x x) (/ x 2))) (/ (* (* x x) 1/2) (pow (sqrt 2) 4))) * [misc]simplify: Simplified (2) to (λ (x y) (- (fma 2 (log (sqrt 2)) (fma (/ 1/2 2) (* x x) (/ x 2))) (/ (* (* x x) 1/2) (pow (sqrt 2) 4)))) * * * * [misc]progress: [ 110 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (log (sqrt (+ (exp x) 1)))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (fma 2 (log (sqrt (+ 1 (exp x)))) (- (* y x))) * [misc]simplify: Simplified (2) to (λ (x y) (fma 2 (log (sqrt (+ 1 (exp x)))) (- (* y x)))) * * * * [misc]progress: [ 111 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (log (sqrt (+ (exp x) 1)))) (* x y)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (fma 2 (log (sqrt (+ 1 (exp x)))) (- (* y x))) * [misc]simplify: Simplified (2) to (λ (x y) (fma 2 (log (sqrt (+ 1 (exp x)))) (- (* y x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* x y)) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* x y)) 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 (* x y) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (- (fma (fma 1/8 x 1/2) x (log 2)) (* x y)) 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 (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 x 1/2) x (log 2)) (* x y)) 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 (* x y) in x * [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 y in x * [misc]backup-simplify: Simplify y into y * [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 (* 0 y) 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 0) (* 1 y)) 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 0) (+ (* 1 0) (* 0 y))) 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 x) (/ 1 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 x) (/ 1 y))) 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 x) (/ 1 y)) 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]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 (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 x) (/ 1 y))) 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 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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 (- (fma (fma 1/8 (/ 1 x) 1/2) (/ 1 x) (log 2)) (* (/ 1 x) (/ 1 y))) 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 x) (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 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]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 (/ 1 y)) 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 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 y))) 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 (- x)) (/ 1 (- y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- x)) (/ 1 (- y)))) 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 (- x)) (/ 1 (- y))) 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]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 (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- x)) (/ 1 (- y)))) 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 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 (- (fma (fma 1/8 (/ 1 (- x)) 1/2) (/ 1 (- x)) (log 2)) (* (/ 1 (- x)) (/ 1 (- y)))) 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 (- x)) (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]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 (/ -1 y)) 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 (- y) into (- y) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 y) (/ 0 (- y))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 y))) 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 / 24 ] 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))) (- (* y x))) * * [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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (- (fma (fma x 1/8 1/2) x (log 2)) (* x y)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 2 / 24 ] 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))) (- (* y x))) * * [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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (- (fma x 1/8 1/2) y) (log 2)) (- (* y x) (* y x)))) * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (fma (fma 1/8 x 1/2) x (log 2)) (- (* y x))) * * [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 (- y) x (* y x)))) * [enter]simplify: Simplifying (fma (- y) x (* y x)) * * [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 (- (* y x) (* y x)) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (fma x (fma x 1/8 1/2) (- (log 2) (* x y))) (- (* y x) (* y x)))) * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 24 ] 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))) (- (* x y)))) * * * * [misc]progress: [ 7 / 24 ] 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))) (- (* x y)))) * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fma (fma 1/8 x 1/2) x (log 2))) (exp (* x y))) * * [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 (68 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: [ 10 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 24 ] 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) (* x y)))) * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 24 ] 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: [ 23 / 24 ] 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: [ 24 / 24 ] 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 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* x (fma x 1/8 (- 1/2 y))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 (- 1/2 y))) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (fma x 1/8 (- 1/2 y)) in y * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [misc]taylor: Taking taylor expansion of (* x 1/8) in y * [misc]taylor: Taking taylor expansion of x in y * [misc]backup-simplify: Simplify x into x * [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 (- 1/2 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]taylor: Taking taylor expansion of (* x (fma x 1/8 (- 1/2 y))) in x * [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 x 1/8 (- 1/2 y)) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [misc]taylor: Taking taylor expansion of (* x 1/8) in x * [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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 y) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]taylor: Taking taylor expansion of (* x (fma x 1/8 (- 1/2 y))) in x * [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 x 1/8 (- 1/2 y)) in x * [misc]taylor: Rewrote expression to (+ (* x 1/8) (- 1/2 y)) * [misc]taylor: Taking taylor expansion of (* x 1/8) in x * [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 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 y) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of y in x * [misc]backup-simplify: Simplify y into y * [misc]backup-simplify: Simplify (* 0 1/8) into 0 * [misc]backup-simplify: Simplify (- y) into (- y) * [misc]backup-simplify: Simplify (+ 1/2 (- y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (+ 0 (- 1/2 y)) into (- 1/2 y) * [misc]backup-simplify: Simplify (* 0 (- 1/2 y)) 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 0) (* 1 1/8)) into 1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 0 1/8) (* 1 (- 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/8) (* 0 (- 1/2 y)))) 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* y x)) (+ (* 1/8 (pow (* 1 x) 2)) (* 1/2 (* 1 x)))) into (- (+ (* 1/2 x) (* 1/8 (pow x 2))) (* x y)) * [misc]approximate: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y)))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y)))) 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]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) 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]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 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]taylor: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 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) (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/8 (- 1/2 (/ 1 y))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/8) (- 1/2 (/ 1 y))) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 y)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 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]backup-simplify: Simplify (* 1 1/8) into 1/8 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (* 1 1/8) 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) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 y)) into (- (/ 1 y)) * [misc]backup-simplify: Simplify (+ 1/2 (- (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (- 1/2 (/ 1 y))) into (- 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2 (/ 1 y))) (* 0 1/8)) 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) (+ (* 0 0) (* 0 1/8))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2 (/ 1 y))) (* 0 1/8))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 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 (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y))))) in (x y) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y))))) 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]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in y * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) 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]taylor: Taking taylor expansion of 1/8 in y * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 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]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)) (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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)) (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/8 (- 1/2 (/ 1 (- y)))) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/8) (- 1/2 (/ 1 (- y)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/8) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1 (- y))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- 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]backup-simplify: Simplify (* -1 1/8) into -1/8 * [misc]backup-simplify: Simplify (+ -1/8 0) into -1/8 * [misc]backup-simplify: Simplify (* -1 -1/8) 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 (+ (* -1 0) (* 0 1/8)) into 0 * [misc]backup-simplify: Simplify (- (/ -1 y)) into (/ 1 y) * [misc]backup-simplify: Simplify (+ 1/2 (/ 1 y)) into (+ 1/2 (/ 1 y)) * [misc]backup-simplify: Simplify (+ 0 (+ 1/2 (/ 1 y))) into (+ 1/2 (/ 1 y)) * [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 (+ 1/2 (/ 1 y))) (* 0 -1/8)) 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 (+ (* -1 0) (+ (* 0 0) (* 0 1/8))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (+ 1/2 (/ 1 y))) (* 0 -1/8))) into 0 * [misc]taylor: Taking taylor expansion of 0 in y * [misc]backup-simplify: Simplify 0 into 0 * [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 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (- 1/2 y)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (- 1/2 y) x) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* x (* x 1/8)) (* (- 1/2 y) x))) * * * * [misc]progress: [ 11 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1/2 y) x) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (- 1/2 y) x) * [misc]simplify: Simplified (2 2) to (λ (x y) (+ (* (* x 1/8) x) (* (- 1/2 y) x))) * * * * [misc]progress: [ 12 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma x 1/8 (- 1/2 y))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* x (* (cbrt (fma x 1/8 (- 1/2 y))) (cbrt (fma x 1/8 (- 1/2 y))))) (cbrt (fma x 1/8 (- 1/2 y))))) * * * * [misc]progress: [ 13 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma x 1/8 (- 1/2 y))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (fma x 1/8 (- 1/2 y))) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* x (sqrt (fma x 1/8 (- 1/2 y)))) (sqrt (fma x 1/8 (- 1/2 y))))) * * * * [misc]progress: [ 14 / 18 ] simplifiying candidate # * [enter]simplify: Simplifying (fma x 1/8 (- 1/2 y)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (fma x 1/8 (- 1/2 y)) * [misc]simplify: Simplified (2 2) to (λ (x y) (* (* x 1) (fma x 1/8 (- 1/2 y)))) * * * * [misc]progress: [ 15 / 18 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 18 ] 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: [ 17 / 18 ] 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: [ 18 / 18 ] 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: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ 1 (exp x))) (* x y)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- (log (+ 1 (exp x))) (* x y)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 (exp x))) (* y x)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2393 additional inputs, on iter 1 have 5607 / 8000 * * * * [misc]points: Computing exacts on every 149 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 74 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 37 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 18 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 9 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 4 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 2 of 2393 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 2393 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 719 additional inputs, on iter 2 have 7281 / 8000 * * * * [misc]points: Computing exacts on every 44 of 719 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 22 of 719 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 11 of 719 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 5 of 719 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 2 of 719 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 719 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 227 additional inputs, on iter 3 have 7773 / 8000 * * * * [misc]points: Computing exacts on every 14 of 227 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 7 of 227 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 3 of 227 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 227 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 82 additional inputs, on iter 4 have 7918 / 8000 * * * * [misc]points: Computing exacts on every 5 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 2 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 82 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 5 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 6 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 7 have 7994 / 8000 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs