* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [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 77 additional inputs, on iter 1 have 179 / 256 * * * * [misc]points: Computing exacts on every 4 of 77 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 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 77 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 23 additional inputs, on iter 2 have 233 / 256 * * * * [misc]points: Computing exacts for 23 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 6 additional inputs, on iter 3 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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 (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 2 / 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 (+ x (+ (* 1/2 (pow x 2)) 2)) * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) * [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 (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) * [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 (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * [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))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))) * * * * [misc]progress: [ 10 / 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))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (sqrt (+ (exp x) 1)))) * * * * [misc]progress: [ 12 / 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)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * * * * [misc]progress: [ 13 / 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))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (expm1 (+ x x))) (sqrt (- (exp x) 1)))) * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 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)) * [misc]simplify: Simplified (2 1) to (λ (x) (fabs (sqrt (+ (exp x) 1)))) * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1))) * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (sqrt (fma (sqrt (exp x)) (sqrt (exp x)) 1))) * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (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 (109 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2))) * [misc]simplify: Simplified (2) to (λ (x) (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2)))) * * * * [misc]progress: [ 33 / 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)) * [misc]simplify: Simplified (2) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 34 / 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)) * [misc]simplify: Simplified (2) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x (+ (* 1/2 (pow x 2)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (fma (fma x 1/2 1) x 2) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (fma (fma x 1/2 1) x 2))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (+ (exp x) 1))) * * * [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 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt 2)) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (sqrt (sqrt 2)))) into (* 1/2 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (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))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 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 (/ (- 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))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (sqrt 2)) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3))))))) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3))))) (* (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) (sqrt (sqrt 2))))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) into (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (/ 1 (sqrt 2))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 x)) 1))) (sqrt (sqrt (+ (exp (/ 1 x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 x)) 1))) (sqrt (sqrt (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 x)) 1))) (sqrt (sqrt (+ (exp (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (/ 1 x)) 1) 1/4) (pow (+ (exp (/ 1 x)) 1) 1/4)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ 1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ 1 x)) 1) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) (sqrt (sqrt (+ (exp (/ 1 (- x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) (sqrt (sqrt (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) (sqrt (sqrt (+ (exp (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (/ -1 x)) 1) 1/4) (pow (+ (exp (/ -1 x)) 1) 1/4)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (/ -1 x)) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (+ (exp (/ -1 x)) 1) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 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 (/ (- 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))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) x) (sqrt (sqrt 2)))) into (- (+ (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))) (+ (sqrt (sqrt 2)) (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 x)) 1) 1/4) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 (/ 1 x))) 1) 1/4) into (pow (+ (exp x) 1) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 x)) 1) 1/4) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 1/4) into (pow (+ (exp x) 1) 1/4) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp x) 1))) in x * [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 (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ (/ 1/2 (sqrt 2)) (* 2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) into (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 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 (/ (- 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))) (pow (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) 2) (+)) (* 2 (sqrt (sqrt 2)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (- (* 1/4 (/ 1 (sqrt 2))) (* 3/16 (/ 1 (pow (sqrt 2) 3)))))) (pow x 2)) (+ (* (* 1/4 (sqrt (/ 1 (pow (sqrt 2) 3)))) x) (sqrt (sqrt 2)))) into (- (+ (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))) (+ (sqrt (sqrt 2)) (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 x)) 1))) in x * [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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ 1 x)) 1))) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 x)) 1) 1/4) into (pow (+ (exp (/ 1 x)) 1) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ 1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ 1 (/ 1 x))) 1) 1/4) into (pow (+ (exp x) 1) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (exp (/ 1 (- x))) 1))) in x * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (/ -1 x)) 1))) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 x)) 1) 1/4) into (pow (+ (exp (/ -1 x)) 1) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (exp (/ -1 x)) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (/ -1 (/ 1 (- x)))) 1) 1/4) into (pow (+ (exp x) 1) 1/4) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [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 (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]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 (+ (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) * [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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]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 (+ (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 114 ] 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)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (sqrt (+ (exp x) 1)) (+ 1/2 1/2))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (sqrt (+ (exp x) 1)) (+ 1/2 1/2))) * * * * [misc]progress: [ 4 / 114 ] 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))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (sqrt (sqrt (+ (exp x) 1))) (+ 1 1))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (sqrt (sqrt (+ (exp x) 1))) (+ 1 1))) * * * * [misc]progress: [ 5 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (+ (exp x) 1) 1/2)) * * * * [misc]progress: [ 6 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (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 (sqrt (+ (exp x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (sqrt (+ (exp x) 1)) 1)) * * * * [misc]progress: [ 7 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 114 ] 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))) * [misc]simplify: Simplified (2 1) to (λ (x) (pow (sqrt (sqrt (+ (exp x) 1))) (+ 1 1))) * * * * [misc]progress: [ 9 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (+ (exp x) 1)))) (log (sqrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (+ (exp x) 1)))) (log (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (sqrt (sqrt (+ (exp x) 1)))) (log (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 11 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (+ (exp x) 1) (sqrt (+ (exp x) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (+ (exp x) 1) (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 14 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (exp x) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 17 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 114 ] simplifiying candidate # * [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) * [misc]simplify: Simplified (2 1) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 19 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (* (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (sqrt (fma (exp x) (expm1 x) 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (fma (exp x) (expm1 x) 1)))) * * * * [misc]progress: [ 20 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1)))) (* (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (sqrt (- (exp x) 1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (sqrt (sqrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (exp x) (expm1 x) 1))) (sqrt (sqrt (expm1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1)))) (* (sqrt (sqrt (fma (exp x) (expm1 x) 1))) (sqrt (sqrt (expm1 x)))))) * * * * [misc]progress: [ 21 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp (+ x x)) (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp (+ x x)) (exp x) 1)))) (* (sqrt (sqrt (- (exp x) 1))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- (exp x) 1))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (fma (expm1 x) (exp x) 1))) (sqrt (sqrt (expm1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (fma (exp (+ x x)) (exp x) 1)))) (* (sqrt (sqrt (fma (expm1 x) (exp x) 1))) (sqrt (sqrt (expm1 x)))))) * * * * [misc]progress: [ 22 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (+ x x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (expm1 (+ x x))) (* (sqrt (sqrt (- (exp x) 1))) (sqrt (sqrt (- (exp x) 1)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (- (exp x) 1))) (sqrt (sqrt (- (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (sqrt (expm1 (+ x x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 23 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (sqrt (+ (exp x) 1)))))) (cbrt (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 25 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))))) (sqrt (cbrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 26 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1)))))) (sqrt (sqrt (cbrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 27 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 28 / 114 ] 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))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 29 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 30 / 114 ] 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))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt 1)) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 31 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 32 / 114 ] 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))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ (exp x) 1))) 1) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 33 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (sqrt (+ (exp x) 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (sqrt (+ (exp x) 1))))) (* (cbrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 34 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (sqrt (+ (exp x) 1)))) (* (sqrt (cbrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 35 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (fabs (cbrt (+ (exp x) 1)))) (* (sqrt (sqrt (cbrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 36 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 37 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 38 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 39 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 40 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 41 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (exp x) (expm1 x) 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3))))) (sqrt (sqrt (fma (exp x) (expm1 x) 1))))) * * * * [misc]progress: [ 43 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (exp x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1))))) (sqrt (sqrt (expm1 x))))) * * * * [misc]progress: [ 44 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3)))) (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1)))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))))) * * * * [misc]progress: [ 45 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1)))) (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (+ 1 (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (+ 1 (exp x))))) (sqrt (sqrt (- (exp x) 1))))) * * * * [misc]progress: [ 46 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (fabs (cbrt (sqrt (+ (exp x) 1)))) (sqrt (cbrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 56 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (fabs (cbrt (+ (exp x) 1)))) (sqrt (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 57 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 58 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 59 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 60 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (* (sqrt 1) (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 61 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * * * * [misc]progress: [ 62 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (+ x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (/ (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 63 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 114 ] 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))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (fabs (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 65 / 114 ] 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))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (fabs (sqrt (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 66 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (fabs (cbrt (sqrt (+ (exp x) 1)))) (sqrt (cbrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 76 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (fabs (cbrt (+ (exp x) 1)))) (sqrt (sqrt (cbrt (+ (exp x) 1))))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 77 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 78 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 79 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (exp x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (exp x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (sqrt (+ (exp x) 1))))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 80 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt 1) (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 81 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow (exp x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (sqrt (sqrt (fma (exp x) (exp (+ x x)) 1))) (sqrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 82 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* (exp x) (exp x)) (* 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (+ x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (sqrt (sqrt (expm1 (+ x x)))) (sqrt (sqrt (- (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 83 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 114 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (fabs (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 85 / 114 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (fabs (sqrt (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 86 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 114 ] 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))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (fabs (cbrt (+ (exp x) 1))) (sqrt (cbrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 96 / 114 ] 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))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))))) * * * * [misc]progress: [ 97 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (* (sqrt 1) (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 98 / 114 ] 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)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))) * * * * [misc]progress: [ 99 / 114 ] 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))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (/ (sqrt (expm1 (+ x x))) (sqrt (- (exp x) 1)))))) * * * * [misc]progress: [ 100 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 114 ] 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)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (fabs (sqrt (+ (exp x) 1)))))) * * * * [misc]progress: [ 102 / 114 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (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 (109 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2))) * [misc]simplify: Simplified (2) to (λ (x) (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2)))) * * * * [misc]progress: [ 104 / 114 ] 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)) * [misc]simplify: Simplified (2) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 105 / 114 ] 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)) * [misc]simplify: Simplified (2) to (λ (x) (sqrt (+ (exp x) 1))) * * * * [misc]progress: [ 106 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))) (+ (sqrt (sqrt 2)) (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (* (- x) (* 3/32 x)) (sqrt (/ 1 (pow (sqrt 2) 7))) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (* x (+ 1/4 (* 1/8 x))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (fma (* (- x) (* 3/32 x)) (sqrt (/ 1 (pow (sqrt 2) 7))) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (* x (+ 1/4 (* 1/8 x))) (sqrt (sqrt 2)))))) * * * * [misc]progress: [ 107 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp x) 1) 1/4) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 1/4) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (pow (+ (exp x) 1) 1/4))) * * * * [misc]progress: [ 108 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp x) 1) 1/4) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 1/4) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (pow (+ (exp x) 1) 1/4))) * * * * [misc]progress: [ 109 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (* (sqrt (/ 1 (pow (sqrt 2) 3))) (pow x 2))) (+ (sqrt (sqrt 2)) (* 1/4 (* (sqrt (/ 1 (pow (sqrt 2) 3))) x)))) (* 3/32 (* (sqrt (/ 1 (pow (sqrt 2) 7))) (pow x 2)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (fma (* (- x) (* 3/32 x)) (sqrt (/ 1 (pow (sqrt 2) 7))) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (* x (+ 1/4 (* 1/8 x))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fma (* (- x) (* 3/32 x)) (sqrt (/ 1 (pow (sqrt 2) 7))) (fma (sqrt (/ (/ 1 2) (sqrt 2))) (* x (+ 1/4 (* 1/8 x))) (sqrt (sqrt 2)))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 110 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp x) 1) 1/4) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 1/4) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (+ (exp x) 1) 1/4) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 111 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp x) 1) 1/4) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (pow (+ (exp x) 1) 1/4) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (+ (exp x) 1) 1/4) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 112 / 114 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (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 (109 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (fma 1/2 (/ x (sqrt 2)) (fma (/ (* x x) (sqrt 2)) (- 1/4 (/ 1/8 2)) (sqrt 2)))))) * * * * [misc]progress: [ 113 / 114 ] 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)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))) * * * * [misc]progress: [ 114 / 114 ] 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)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# #) * * * [misc]regime: Found split indices: #