* [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: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 65 additional inputs, on iter 1 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 65 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 2 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 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 (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) 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 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [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 (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [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 (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * [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)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] 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))) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (sqrt (+ 1 (exp x)))) * [exit]simplify: Simplified to (* (+ 1 (exp x)) (sqrt (+ 1 (exp x)))) * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (exp x) 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (sqrt (fma (* (exp x) (exp x)) (exp x) 1)) * [exit]simplify: Simplified to (sqrt (fma (* (exp x) (exp x)) (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (sqrt (fma (expm1 x) (exp x) 1)) * [exit]simplify: Simplified to (sqrt (fma (expm1 x) (exp x) 1)) * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp x) (exp x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [enter]simplify: Simplifying (sqrt (- (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [exit]simplify: Simplified to (sqrt (expm1 x)) * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (pow x 2)) (+ 2 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) 1/2 (+ x 2))) * * * * [misc]progress: [ 33 / 37 ] 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]progress: [ 34 / 37 ] 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]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 36 / 37 ] 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]progress: [ 37 / 37 ] 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]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (exp (log1p (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp x)))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) 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 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow 1/2 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp x)))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) 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 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow 1/2 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 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 (* (exp (log 2)) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 1/8 1) 1)))) 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 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ 1 x))))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ 1 x))))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [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 (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) 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 (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) 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 (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) 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 (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) 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 (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ -1 x))))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (log1p (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ -1 x))))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [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 (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) 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 (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) 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 (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) 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 (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) 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 (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (log1p (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of (exp (log1p (exp x))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]backup-simplify: Simplify 2 into 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 (* (exp (log 2)) (+ (* (/ (pow 1/2 1) 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* (exp (log 2)) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 1/8 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (exp (log1p (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ 1 x))))) into (+ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ 1 x))))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (exp (log1p (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ -1 x))))) into (+ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (exp (log1p (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (exp (/ -1 x))))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (exp (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (exp x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp x))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 2 1)))) 2) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) (log 2))) into (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 x)))) into (log (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ 1 x))) 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 (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 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 (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 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 (+ 1 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 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 (+ 1 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 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 (+ 1 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ 1 (/ 1 x))))) into (log (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (exp (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (exp (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 x)))) into (log (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (/ -1 x))) 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 (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 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 (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 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 (+ 1 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 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 (+ 1 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 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 (+ 1 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 1 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 1 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 1 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 1 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 1 (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (expm1 (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log1p (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (log1p (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (log (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (exp (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (exp (log1p (exp x))))) (cbrt (sqrt (exp (log1p (exp x)))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp (log1p (exp x))))) (cbrt (sqrt (exp (log1p (exp x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (exp (log1p (exp x))))) (cbrt (sqrt (exp (log1p (exp x)))))) * [enter]simplify: Simplifying (cbrt (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (cbrt (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (exp (log1p (exp x)))) (sqrt (exp (log1p (exp x))))) (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (exp (log1p (exp x))) (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (* (exp (log1p (exp x))) (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp (log1p (exp x)))) (cbrt (exp (log1p (exp x)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (fabs (cbrt (exp (log1p (exp x))))) * [enter]simplify: Simplifying (sqrt (cbrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (sqrt (cbrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [enter]simplify: Simplifying (sqrt (sqrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (sqrt (sqrt (exp (log1p (exp x))))) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (exp (log1p (exp x)))) * [exit]simplify: Simplified to (expm1 (exp (log1p (exp x)))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (exp (log1p (exp x)))) * [exit]simplify: Simplified to (log1p (exp (log1p (exp x)))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) * [exit]simplify: Simplified to (exp (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x))))) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (log1p (exp x)))) * [exit]simplify: Simplified to (exp (sqrt (log1p (exp x)))) * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (exp (log1p (exp x)))) * [exit]simplify: Simplified to (exp (exp (log1p (exp x)))) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (log1p (exp x)))) (cbrt (exp (log1p (exp x))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (log1p (exp x)))) (cbrt (exp (log1p (exp x))))) * [exit]simplify: Simplified to (* (cbrt (exp (log1p (exp x)))) (cbrt (exp (log1p (exp x))))) * [enter]simplify: Simplifying (cbrt (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (exp (log1p (exp x)))) * [exit]simplify: Simplified to (cbrt (exp (log1p (exp x)))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (log1p (exp x))) (exp (log1p (exp x)))) (exp (log1p (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (pow (exp (log1p (exp x))) 3) * [exit]simplify: Simplified to (pow (exp (log1p (exp x))) 3) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * [enter]simplify: Simplifying (sqrt (exp (log1p (exp x)))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * [exit]simplify: Simplified to (sqrt (exp (log1p (exp x)))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 48 ] 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)) * [exit]simplify: Simplified to (+ 1 (exp x)) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp x) * [exit]simplify: Simplified to (exp x) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * [exit]simplify: Simplified to (log1p (log1p (exp x))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (log1p (exp x))) * [exit]simplify: Simplified to (log (log1p (exp x))) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (log1p (exp x))) * [exit]simplify: Simplified to (exp (log1p (exp x))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [exit]simplify: Simplified to (* (cbrt (log1p (exp x))) (cbrt (log1p (exp x)))) * [enter]simplify: Simplifying (cbrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * [exit]simplify: Simplified to (cbrt (log1p (exp x))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (exp x)) (log1p (exp x))) (log1p (exp x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * [exit]simplify: Simplified to (pow (log1p (exp x)) 3) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [enter]simplify: Simplifying (sqrt (log1p (exp x))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * [exit]simplify: Simplified to (sqrt (log1p (exp x))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 41 / 48 ] 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]progress: [ 42 / 48 ] 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]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (pow x 2)) (+ 2 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) 1/2 (+ x 2))) * * * * [misc]progress: [ 44 / 48 ] 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]progress: [ 45 / 48 ] 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]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (+ (* 1/8 (pow x 2)) (+ (log 2) (* 1/2 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (exp (fma x (fma x 1/8 1/2) (log 2)))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (+ (exp x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 3 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 3 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 3 1)))) 2) into 1/9 * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]backup-simplify: Simplify (+ (* 1/9 (pow x 2)) (+ (* 1/3 x) (log 3))) into (+ (* 1/9 (pow x 2)) (+ (* 1/3 x) (log 3))) * [misc]approximate: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 2) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 (/ 1 x))))) into (log (+ 2 (exp x))) * [misc]approximate: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 2) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 (/ 1 (- x)))))) into (log (+ 2 (exp x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp x) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (exp (log 3)) into 3 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp x) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (exp (log 3)) into 3 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 3 -1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 3 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (* (exp (log 3)) (+ (* (/ (pow 1/3 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 3 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 3 1)))) 2) into 1/9 * [misc]backup-simplify: Simplify (* (exp (log 3)) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/9 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ 1 x))))) into (+ 2 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ 1 x))))) into (+ 2 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ 1 x))) -1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 (- x))) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ -1 x))))) into (+ 2 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 (- x))) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ -1 x))))) into (+ 2 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ -1 x))) -1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ (* 1/2 (pow x 2)) (+ 2 x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 x))) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ 1 (/ 1 x)))) into (+ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 x))) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (/ -1 (/ 1 (- x))))) into (+ 1 (exp x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp x) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (exp (log 3)) into 3 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 3 -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 3 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (* (exp (log 3)) (+ (* (/ (pow 1/3 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp x) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp x) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp x) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp x) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp x) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp x) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp x) 1) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (+ 1 2) into 3 * [misc]backup-simplify: Simplify (log 3) into (log 3) * [misc]backup-simplify: Simplify (exp (log 3)) into 3 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 3 -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 3 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (* (exp (log 3)) (+ (* (/ (pow 1/3 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 3 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 3 1)))) 2) into 1/9 * [misc]backup-simplify: Simplify (* (exp (log 3)) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/9 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (/ (- 1/2 (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 (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ 1 x))))) into (+ 2 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ 1 x))) -1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 x)) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ 1 x)))) into (+ 2 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ 1 x)))) into (log (+ 2 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ 1 x))))) into (+ 2 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ 1 x))) -1) into (+ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ 1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ 1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ 1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ 1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ 1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ 1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 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 (+ 1 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ 1 (/ 1 x))))) into (sqrt (+ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 (- x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 (- x))) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ -1 x))))) into (+ 2 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ -1 x))) -1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (+ (exp (/ 1 (- x))) 1))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (+ (exp (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (log1p (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (+ (exp (/ 1 (- x))) 1))) * [misc]taylor: Taking taylor expansion of (+ 1 (+ (exp (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (+ 1 (exp (/ -1 x)))) into (+ 2 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (log (+ 2 (exp (/ -1 x)))) into (log (+ 2 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (exp (log (+ 2 (exp (/ -1 x))))) into (+ 2 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 2 (exp (/ -1 x))) -1) into (+ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 x)))) into (sqrt (+ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ 2 (exp (/ -1 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ 2 (exp (/ -1 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ 2 (exp (/ -1 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ 2 (exp (/ -1 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ 2 (exp (/ -1 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 2 (exp (/ -1 x))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 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 (+ 1 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (/ -1 (/ 1 (- x)))))) into (sqrt (+ 1 (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (+ (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ (exp x) (+ 1 1)) * [exit]simplify: Simplified to (+ (exp x) (+ 1 1)) * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (log (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (+ (exp x) 1))) (cbrt (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (+ (exp x) 1))) (cbrt (log1p (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (log1p (+ (exp x) 1))) (cbrt (log1p (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (+ (exp x) 1)) (log1p (+ (exp x) 1))) (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (log1p (+ (exp x) 1)) 3) * [exit]simplify: Simplified to (pow (log1p (+ (exp x) 1)) 3) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (log1p (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (+ (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (log1p (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (log1p (+ (exp x) 1))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (exp x)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (exp (exp x)) E) * [exit]simplify: Simplified to (* (exp (exp x)) E) * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (+ (exp x) 1)))) (cbrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (+ (exp x) 1))) (expm1 (log1p (+ (exp x) 1)))) (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (fma (+ (exp x) (+ 1 1)) (fma (exp x) (exp x) (exp x)) (+ 1 (exp x))) * [exit]simplify: Simplified to (fma (+ (exp x) (+ 1 1)) (fma (exp x) (exp x) (exp x)) (+ 1 (exp x))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * [exit]simplify: Simplified to (expm1 (+ (exp x) 1)) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * [exit]simplify: Simplified to (log1p (+ (exp x) 1)) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 63 ] 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)) * [exit]simplify: Simplified to (log1p (exp x)) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * [exit]simplify: Simplified to (exp (+ (exp x) 1)) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (cbrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp x) 1)) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 3) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [enter]simplify: Simplifying (sqrt (+ (exp x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (exp x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [exit]simplify: Simplified to (fma (exp (+ x x)) (exp x) 1) * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * [exit]simplify: Simplified to (fma (expm1 x) (exp x) 1) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp x) (exp x)) (* 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (expm1 (+ x x)) * [exit]simplify: Simplified to (expm1 (+ x x)) * [enter]simplify: Simplifying (- (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (expm1 x) * [exit]simplify: Simplified to (expm1 x) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (expm1 (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log1p (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (log1p (+ (exp x) 1))))) (cbrt (sqrt (expm1 (log1p (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (log1p (+ (exp x) 1)))) (sqrt (expm1 (log1p (+ (exp x) 1))))) (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (log1p (+ (exp x) 1)))) (cbrt (expm1 (log1p (+ (exp x) 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (exp x) 1))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * [exit]simplify: Simplified to (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (+ (* 1/9 (pow x 2)) (+ (* 1/3 x) (log 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (fma x (fma 1/9 x 1/3) (log 3)))) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log (+ 2 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (log (+ 2 (exp x))))) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log (+ 2 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (log (+ 2 (exp x))))) * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (pow x 2)) (+ 2 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) 1/2 (+ x 2))) * * * * [misc]progress: [ 56 / 63 ] 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]progress: [ 57 / 63 ] 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]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ (* 1/2 (pow x 2)) (+ 2 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) 1/2 (+ x 2))) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (+ 1 (exp x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (exp x))) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ x (sqrt 2))) (+ (sqrt 2) (* 1/4 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (+ (fma (/ x (sqrt 2)) 1/2 (sqrt 2)) (* (- 1/4 (/ 1/8 2)) (/ (* x x) (sqrt 2)))) * * * * [misc]progress: [ 62 / 63 ] 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]progress: [ 63 / 63 ] 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]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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (+ (exp x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [exit]simplify: Simplified to (+ (exp x) 1) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1936 additional inputs, on iter 1 have 6064 / 8000 * * * * [misc]points: Computing exacts on every 121 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 60 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1936 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1936 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 447 additional inputs, on iter 2 have 7553 / 8000 * * * * [misc]points: Computing exacts on every 27 of 447 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 13 of 447 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 6 of 447 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 447 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 447 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 101 additional inputs, on iter 3 have 7899 / 8000 * * * * [misc]points: Computing exacts on every 6 of 101 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 101 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 101 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 4 have 7978 / 8000 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 5 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs